AU2014203192B9 - Forgery preventive printed matter - Google Patents

Description

1 TECHNICAL FIELD 5 The present invention relates to an anti-counterfeit printed matter, including securities such as banknotes, stock certificates, and bonds, various kinds of certificates, and important documents, which requires anti-counterfeit or anti-copy. 10 BACKGROUND ART When expressing the continuous tone of a design on a printed matter, the design in print colors on the printed matter is constituted by fine figure groups of dots, lines, and the like, 15 and the shapes and sizes of the fine figures are controlled based on the density of the continuous tone of the design. Continuous tone expression methods include screen continuous tone expression that expresses a continuous tone by fine constituent element groups made of equilateral polygon arrays 20 of halftone dots and the like, and a line tone expression method that forms the outlines, patterns, and the like of a motif (for example, a person, landscape, object, or pattern) in a design by pictorial dots and fine lines. In the above-described line tone expression method that 25 forms a pattern using pictorial dots and fine lines, the shade (continuous tone) and texture of a motif in a design are expressed using a sketch-like drawing technique. Since the dots and fine lines of the design, for example, intersect and congest, the object shapes and arrangements on the printed 30 matter are complex. The above-described line tone expression method that forms a pattern using pictorial dots and fine lines is therefore a continuous tone expression method capable of reflecting intention in designing. As the main expression technique, when objects are "lines", the density of the design 35 can be expressed by the object widths and the sparseness of object arrangements. When objects are "dots", the density of 2 the design can be expressed by the dot sizes and the sparseness of dots. The typical technique of the above-described line tone expression method that forms a pattern using pictorial dots and 5 fine lines is used to express the tone of a motif in a design like the intaglio-printed image of a banknote. For example, a printed matter having complex objects of dots and fine lines formed by the line tone expression method is hard to duplicate because of the complex object arrangement. In addition, 10 allowing an ordinary person, when trained, to identify during circulation on the market whether the object shapes are authentic by observation using a magnifier or the like, the patterns formed by the method are used all over the world for printed matters such as securities having monetary values. 15 Simultaneously, patterns formed by the line tone expression method add a quality appearance in design, and have therefore been the necessaries of printed matters including securities such as banknotes, stock certificates, and bonds, various kinds of certificates, and important documents (to be referred to as 20 "securities" hereinafter) since old times. Fig. 1 shows an example of the general line tone expression method. In the line tone expression method, main lines 4 and sub-lines 5 exist on a printed pattern 3 of a printed matter 1, as indicated by the partial enlarged view (circle) of the printed pattern 3. In many 25 cases, the main lines 4 have tonal elements. As for the tonal elements of the main lines 4 that express light and shade of a design, the objects of the main lines 4 are thinned to produce lightness or thickened to bring about darkness, thereby expressing a continuous tone. Note that in the example of Fig. 30 1, the main lines 4 are illustrated as horizontal parallel lines, and the sub-lines 5 as 450 parallel lines. However, the angles of the parallel lines are not particularly limited. Various techniques are applied to a background pattern called a ground object pattern to produce an anti-counterfeit 35 effect on printed matters of securities. However, along with the recent advent of high-quality color copying machines and 3 computerized color plate making techniques, certificate document counterfeit techniques tend to be rich in variety. Measures against certificate document counterfeit cope with this by growing in sophistication. However, this leads to an 5 increase in manufacturing cost necessary for anti-counterfeit, and for example, introducing dedicated facilities including special machines and tools for obtaining an environment to confirm the anti-counterfeit effect sometimes requires higher cost for authenticity determination. 10 To determine authenticity of securities such as banknotes, stock certificates, and bonds, various kinds of certificates, and important documents, an anti-counterfeit technique called latent image intaglio has been used for a long time. The latent image intaglio produces the effect by using projecting objects 15 formed by intaglio ink or the like. For example, as indicated by a printed matter 11 shown in Fig. 42, an object group 13 that forms the background of a printed pattern 12 and an object group 14 that forms a latent image are arranged as parallel line objects in two directions with an angular difference of 900. 20 When the printed surface of the printed matter 11 is observed from the front, it is not easy to recognize the latent image pattern "P". However, when observing from off-center, as shown in Fig. 43, adjacent projecting objects of the object group 13 formed by, for example, intaglio ink overlap each 25 other at the viewing angle. For this reason, the object group 13 has a low lightness (high density) than that of the objects 14 that form the actual latent image portion. The latent image "P" thus appears as a visible image. In place of the parallel line objects in two directions, objects in one direction may be used 30 by changing the projection height of the intaglio ink (for example, patent reference 1). This technique features easy authenticity determination without using a special discrimination tool. On the other hand, there exists a useful technique that 35 enables more remarkable authenticity determination using a simple discrimination tool on a printed matter. More specifically, 4 a discrimination tool is overlaid on a printed matter containing an invisible image, thereby making the invisible image visible. The major form of the discrimination tool is a lenticular lens or a transparent sheet (to be referred to as a "parallel line filter" 5 hereinafter) with a parallel line screen printed on it. The techniques of visualizing an invisible image are roughly classified into two types: dot phase modulation and line phase modulation. As a printed matter whose latent image is visualized 10 upon overlaying a discrimination tool formed from such a parallel line filter and an authenticity determination method therefor, there exists a printed matter having a background image portion printed by parallel line (or halftone dot) objects and a latent image portion printed by parallel line (or halftone 15 dot) objects in a phase different from that of the background image portion. The background image portion and latent image portion of the printed matter appear to be hard to visually recognize discriminately. However, a method is known which allows to visually recognize the background image portion 20 and latent image portion discriminately by overlaying a parallel line filter on the printed matter at a predetermined position. An example of dot phase modulation includes an image forming method and a printed matter with patterns phase-modulated in the first and second directions, in which a 25 first multi-tone image is formed by overlaying a parallel line filter so as to make the first direction of the printed matter coincide with the parallel line pattern of the parallel line filter, and a second multi-tone image is formed by changing the overlay angle of the parallel line filter so as to make the second 30 direction of the printed matter coincide with the parallel line pattern (see, for example, patent reference 2). Another example of dot phase modulation is a printed matter in which dots of a dot pattern whose image becomes visible upon overlaying a lens array (for example, flyeye lens, 35 honeycomb lens, or lenticular lens) on the base material include halftone dots in at least two types of screen line numbers and 5 at least two types of screen angles. If the printed matter is authentic, the percent dot area of the dots of the dot pattern does not change. Hence, an invisible image is visualized by overlaying a lens array. If the printed matter is a duplication, 5 the dots reproduced by the size of the screen line number or the halftone dot angle degrade, and the dot density changes. Hence, an image different from the invisible image becomes visible on the printed matter (see, for example, patent reference 3). 10 An example of dot phase modulation on abroad is Isogram available from Astron Design, Netherlands (see, for example, non-patent reference p. 1340). More specifically, as indicated by a printed matter shown in Fig. 60(a), a flat pattern having an apparently uniform density includes an invisible 15 image formed by the phase of fine halftone dots upon enlargement, as shown in Fig. 60(b). When a dedicated sheet is overlaid on the printed matter, the invisible image is made visible as a negative or positive image, as shown in Fig. 60(c) or 60(d). However, it is impossible to clearly visualize the 20 image because of the flat pattern having a uniform density. The present applicants have applied for a patent concerning a printed matter using dot phase modulation. This is a latent image printed matter having two latent image patterns formed by periodically arraying a plurality of 25 isochromatic pixels on a base material. The printed matter has a first latent image pattern (invisible image) in a first region where the plurality of pixels are arrayed with a phase shift in the first direction and a second latent image pattern (invisible image) in a second region printed by a functional ink (see, for 30 example, patent reference 4). An example of line phase modulation is a printed matter having line portions and non-line portions on a base material, in which a plurality of kinds of latent image parallel line patterns each printed in a different color and having a latent image 35 portion formed by shifting the parallel line phase by a 1/2 pitch with respect to a parallel line pattern having a single pitch and 6 width are superimposed at different angles and printed, and the latent image portion is made visible by overlaying a film having the same pitch as that of the parallel line pattern of the printed matter on the plurality of kinds of invisible images (see, for 5 example, patent reference 5). An example of line phase modulation on abroad is HIT (Hidden Image Technology) available from Jura, Hungary (see non-patent reference p. 1341). As shown in Fig. 61(a), a flat pattern having an apparently uniform density includes an 10 invisible image formed by the phase of fine parallel lines upon enlargement, as shown in Fig. 61(b). When a dedicated sheet is overlaid on the printed matter, the invisible image is made visible as a negative or positive image, as shown in Fig. 61(c) or 61(d). Note that since it may be possible to identify the 15 invisible image of the printed matter in Fig. 61(a) by normal observation, a visible image is formed as a camouflage pattern by changing the object width of some parallel lines, as shown in Fig. 61(b). Hollow objects may be used to form the visible image. However, when the invisible image is made visible by 20 overlaying the dedicated sheet, the camouflage pattern is simultaneously visualized as a visible image to impede visibility of the visualized invisible image. In general, a pattern formed by dot phase modulation or line phase modulation is flat. 25 There has also been proposed an anti-counterfeit image printed matter, in which a unit block is divided into m columns x n rows to form minimum unit blocks b1, b2, b3, b4,.... having the same shape. Latent images G1, G2, G3, G4,... whose pixel units g1, g2, g3, g4,... are the minimum unit blocks b1, b2, b3, 30 b4,..., respectively, are formed on an image forming sheet. The pixel units gl, g2, g3, g4,... are parallel line patterns each formed from one or more parallel lines. One of the different parallel line patterns that are formed from parallel lines at parallel line pitches p including pitches p1, p2, p3, p4,... and 35 parallel line angles 0 including parallel line angles 01, 02, 03, 04,... constructs the anti-counterfeit image printed matter.

7 Visualizing parallel line sheets obtained by forming, on transparent sheets, different parallel line patterns formed from parallel lines having the same parallel line pitches p and parallel line angles 0 as those of the parallel line patterns constructing 5 the pixel units g1, g2, g3, g4,... are overlaid, thereby visualizing the latent images G1, G2, G3, G4,...(for example, patent reference 6). The anti-counterfeit image printed matter according to patent reference 6 visualizes the plurality of latent images by 10 changing the parallel line pattern pitch and angle between the unit pixels. However, the visible image can only be expressed as a uniform background pattern. To visualize the latent images, transparent sheets that require pitches and angles conforming to the parallel line patterns of the unit pixels of the 15 latent images are necessary. That is, a plurality of discrimination tools need to be prepared. In addition, the techniques disclosed in non-patent reference 1 and patent references 2 to 5 cannot completely nonvisualize a latent image, that is, an embedded image. Low 20 affinity to the designs of securities poses the most serious problem because it is hard to apply the techniques to the above-described line tone expression method. Furthermore, the techniques disclosed in non-patent reference 1 and patent references 2 to 5 need an extra printing process in addition to 25 the process of forming a printed pattern by the above-described line tone expression method. This results in an increase in the manufacturing cost necessary for the anti-counterfeit measure. PRIOR ART REFERENCES 30 PATENT REFERENCES Patent reference 1: Japanese Utility Model Publication No. 56-19273 Patent reference 2: Japanese Patent No. 4132122 Patent reference 3: Japanese Patent No. 4013450 35 Patent reference 4: Japanese Patent Application No. 2007-43171 8 Patent reference 5: Japanese Patent Laid-Open No. 2004-174997 Patent reference 6: Japanese Patent Laid-Open No. 2007-015120 5 NON-PATENT REFERENCE Non-patent reference 1: Optical Security and Counterfeit Deterrence Techniques IV Vol. 4677 (by SPIE - The International Society for Optical Engineering) 10 SUMMARY OF THE INVENTION Securities need many objects having an anti-counterfeit effect on a printed surface. However, the printed surface has only a limited area, and there is demanded an anti-counterfeit 15 measure capable of providing an effect using a plurality of authenticity determination methods even in a small printed area. In the above-described conventional printed matters, the latent image is formed from print objects having a flat density. 20 It is therefore impossible to form an invisible image that can clearly be visualized. In the conventional printed matters, the latent image may be recognized visually before the discrimination tool is overlaid. To prevent the latent image from being visually recognized in advance, the width of the shift 25 between the latent image and the background pattern needs to be decreased by making the objects or halftone dots smaller. However, this may degrade the visibility of the latent image when the discrimination tool is overlaid. In addition, the objects or halftone dots of the printed matter are not tactile in 30 themselves. Even if some kind of visible image is provided, it is formed by simple hollow objects, as in the printed matter described in patent reference 3, and therefore impedes the visibility of the visualized invisible image. Furthermore, some 35 printed matters require a plurality of discrimination tools, like that described in patent reference 6.

H.dcr\Interovecn\NRPorbI\DCCDER\739598_ Idcx-16112/2115 -9 The present invention has been made in consideration of the above described situations, and has as its object to provide an anti-counterfeit printed matter which forms an invisible image capable of clearly becoming visible via a single discrimination tool, makes the invisible image hard to visually recognize 5 before the discrimination tool is overlaid without making objects, halftone dots, and a shift width smaller, and prevents any region other than the invisible image from impeding the visibility of the visualized invisible image, or to provide an anti counterfeit printed matter which enables easy authenticity determination with or without a discrimination tool by obtaining an anti-counterfeit effect using a plurality 10 of authenticity determination methods, forms an invisible image capable of clearly becoming visible even when the discrimination tool is used, makes the invisible image hard to visually recognize before the discrimination tool is overlaid without making objects, halftone dots, and a shift width smaller, and prevents any region other than the invisible image from impeding the visibility of the visualized invisible 15 image. SOLUTIONS TO THE PROBLEMS According to the present invention there is provided an anti-counterfeit printed matter characterized in that 20 first object unit and second object unit that have the same area are arranged in a matrix on a surface of a base material, the first object unit has a first object arranged to run in a first direction, and a second object arranged at a first position in a region where the first object does not exist, 25 the second object unit has the first object arranged to run in the first direction, and a third object arranged at a second position in the region where the first object does not exist, the first object has a first object portion having a first height from the surface of the base material and a second object portion having a second height different 30 from the first height, thereby forming a first invisible image, and a region where one of the first object unit and the second object unit is H :'der\lncruoven,\NRPonbl\DCC\DER\739595_I 5.doc16/02/2015 - 10 arranged forms an image portion of a second invisible image, whereas a region where the other is arranged forms a background portion of the second invisible image. The anti-counterfeit printed matter of the present invention can form a 5 predetermined shift width in the negative and positive regions of the invisible image without making the objects, the halftone dots, and the shift width smaller. Hence, the invisible image is hard to visually recognize in advance. Additionally, upon overlaying the discrimination tool, the invisible image can clearly be visually recognized so that the discriminator can easily confirm it. 10 According to the present invention, there is provided an anti-counterfeit printed matter which forms an invisible image capable of clearly becoming visible via a single discrimination tool without compromising the design of a pattern made by the line tone expression method. Furthermore, in the anti-counterfeit printed matter of the present invention, the objects are tactile because they project in 15 themselves. It is therefore possible to determine the authenticity based on the presence/absence of tactility. According to the anti-counterfeit printed matter of the present invention, it is possible to confirm the anti-counterfeit effect of distinguishably visualizing the first invisible image and the second invisible image formed on the printed matter 20 having the limited printing surface of securities in each of the two authenticity determination methods, that is, the method using the discrimination tool and the method without using the discrimination/tool. There is provided an anti-counterfeit printed matter for the method without using the discrimination tool, in which when observing the printed matter from the 25 front, the first invisible image is formed not to compromise the design of the pattern made by the line expression, and when observing the printed matter from off-center, the first invisible image is visualized as a visible image.

H:\der\Intrnsoven\NRPonbl\DCCDER\739595 I.doc l6/2/20l5 - 11 BRIEF DESCRIPTION OF THE DRAWINGS Fig. 1 is an explanatory view showing a state in which a printed pattern 3 including an arbitrary motif is visually recognized; Fig. 2 is an explanatory view showing a state in which an invisible image 5 can easily be visualized to determine the authenticity by overlaying a discrimination tool 2 on a printed matter 1; Fig. 3 shows explanatory views of a state in which an invisible image 6 is visualized as a visible image; Fig. 4 is a partially enlarged explanatory view showing a basic object 10 arrangement that two-dimensionally represents the positional relationship between figures; Fig. 5 shows views of examples of the shapes of objects 5a and 5b of object units E and F; Fig. 6 shows partially enlarged explanatory views of an example of the 15 basic object arrangement of an anti-counterfeit printed matter according to the present invention; Fig. 7 shows explanatory views of various object shapes with which objects 5c and 5d have an object area 1/2 or almost 1/2 that of the objects 5a and 5b; Fig. 8 is an explanatory view showing a positional 20 25 30 THE NEXT PAGE IS PAGE 17 17 relationship in which object units A in Fig. 6(a) and object units B in Fig. 6(b) are continuously periodically arranged in a matrix on the printed pattern 3 of the printed matter tightly in the vertical and horizontal directions; 5 Fig. 9 is an explanatory view showing the positions of object units C and D on the printed pattern 3 based on conditions for arrangement at desired positions; Fig. 10 shows partially enlarged views of the arrangement of objects of the printed pattern of a printed 10 matter according to the first embodiment; Fig. 11 is an explanatory view showing a state in which object units A in Fig. 10(a) and object units B in Fig. 10(b) are continuously, periodically, and tightly arranged in a matrix on the printed pattern 3 of the printed matter based on the 15 arrangement in Fig. 8; Fig. 12 is an explanatory view showing a state in which objects 5c provided in the object units C and objects 5d provided in the object units D are arranged; Fig. 13 is an explanatory view showing a state in which 20 main lines 4 having tonal elements are added so that the longitudinal design continuity of the objects 5a, the pairs of objects 5b, the objects 5c, and the objects 5d arranged at 450 cannot objectively be understood upon normal visual observation; 25 Fig. 14 shows explanatory views of a state in which visual observation from the front is done while overlaying a discrimination tool formed from a lenticular lens on the printed pattern 3 of the printed matter 1 so as to make the center line of each lens element coincide with a line Li in Fig. 10(a); 30 Fig. 15 shows explanatory views of a state in which the objects 5b located on center lines 7 are magnified by the characteristic of the lenticular lens to visualize an invisible image 6 as a positive or negative visible image; Fig. 16 shows explanatory views of a state in which each 35 object has a linear shape and forms a rectangle or a parallelogram in the diagonal direction of the object unit A or B; 18 Fig. 17 is an explanatory view showing a state in which the objects 5a, the pairs of objects 5b, the objects c, and the objects d look like dotted lines in the printed pattern 3 formed using the object units A to D shown in Figs. 16(a) to 16(d); 5 Fig. 18 shows explanatory views of a state in which each object forms a triangle in the diagonal direction of the object unit A, B, C, or D; Fig. 19 is an explanatory view showing a state in which the objects 5a, the pairs of objects 5b, the objects c, and the 10 objects d look like dotted lines in the printed pattern 3 formed using the object units A to D shown in Figs. 18(a) to 18(d); Fig. 20 shows explanatory views of a state in which the interval between the main lines that arrange the horizontal parallel lines can be adjusted arbitrarily by changing the angle 15 of the object 5a; Fig. 21 shows explanatory views of object units A to D including the objects of the printed pattern of a printed matter according to the fifth embodiment; Fig. 22 is an explanatory view showing a discrimination 20 tool 2' such as a concentric parallel line filter; Fig. 23 is an explanatory view showing a state in which the object units A in Fig. 21(a) and the object units B in Fig. 21(b) are continuously, periodically, and tightly arranged in a matrix on a printed pattern 3' of the printed matter; 25 Fig. 24 is an explanatory view showing a state in which objects 5a' and 5b' are arranged based on the arrangement in Fig. 23; Fig. 25 is an explanatory view showing the positions of the object units C and D on the printed pattern 3' based on 30 conditions for arrangement at desired positions; Fig. 26 is an explanatory view showing a state in which objects 5c' provided in the object units C and objects 5d' provided in the object units D are arranged based on the arrangement in Fig. 25; 35 Fig. 27 is an explanatory view showing a state in which main lines 4' are added to form a visible image; 19 Fig. 28 is an explanatory view showing a state in which visual observation from the front is done while overlaying the discrimination tool 2' formed from a concentric parallel line filter on the printed pattern 3' of the printed matter 1 so as to make 5 the center line of each lens element coincide with a line Li in Fig. 21; Fig. 29 is an explanatory view showing a state in which the objects 5b' located on center lines 7 are magnified by the characteristic of the concentric parallel line filter so that the 10 visible image is visually recognized in an inverted negative/positive state; Fig. 30 is a partial perspective view conceptually showing the 3D structure of objects configured to add a first invisible image and a second invisible image; 15 Fig. 31 shows a plan view of a printed matter 1 observed right from above and a front view of the projection height difference between a low object portion 4a and a high object portion 4b; Fig. 32 is a side view of the printed matter 1 that looks in 20 different ways because of the heights of the low object portions 4a and the high object portions 4b; Fig. 33 is a perspective view showing a state in which the high object portions 4b are observed in a density higher than that of the low object portions 4a; 25 Fig. 34 is a view showing a state in which a discrimination tool 2 formed from a lenticular lens or a parallel line filter constructed by forming a plurality of lines along one direction as parallel lines on a transparent filter is overlaid on a printed matter 1; 30 Fig. 35 shows partially enlarged explanatory views of an example of a basic object arrangement configured to visualize a second invisible image via a discrimination tool; Fig. 36 is an explanatory view showing a positional relationship in which object units A in Fig. 35(a), object units B 35 in Fig. 35(b), object units C in Fig. 35(c), and object units D in Fig. 35(d) are continuously periodically arranged in a matrix on 20 a printed pattern 3 of a printed matter tightly in the vertical and horizontal directions; Fig. 37 shows views of a state in which visual observation from the front is done while overlaying a discrimination tool 5 formed from a lenticular lens on the printed pattern 3 of the printed matter 1; Fig. 38 shows views of a state in which visual observation from the front is done while overlaying a discrimination tool formed from a lenticular lens on the printed pattern 3 of the 10 printed matter 1; Fig. 39 is a view showing a state in which objects 4 are thinner in a pattern 9 having an arbitrary shape; Fig. 40 is a perspective view showing a state in which high object portions 4b are observed in a density higher than 15 that of low object portions 4a; Fig. 41 shows explanatory views of a state in which the vertical length of the object unit can be adjusted by changing the angle of an object 5a; Fig. 42 is an explanatory view showing a state in which a 20 printed surface according to a conventional anti-counterfeit technique called latent image intaglio is observed from the front; Fig. 43 is a perspective view showing a state in which the printed surface according to the conventional anti-counterfeit 25 technique called latent image intaglio is observed from off-center; Fig. 44 is a partial perspective view conceptually showing the 3D structure of objects configured to add a first invisible image and a second invisible image made of first high object 30 portions 4b and second high object portions 4c that have different heights; Fig. 45 is a plan view showing a state in which a printed matter 1 formed from objects 4 including low object portions 4a and first high object portions 4b to fifth high object portions 4f 35 in different height levels is observed right from above; Fig. 46 is a perspective view showing a state in which a 21 first invisible image 8 having a shade is visualized in a region including the first high object portions 4b to the fifth high object portions 4f by observing from off-center; Fig. 47 is a perspective view showing a state in which the 5 first invisible image 8 is visualized in the region including the first high object portions 4b to the fifth high object portions 4f by observing from off-center; Fig. 48 is a partial perspective view conceptually showing the 3D structure of objects configured to add a first invisible 10 image and a second invisible image; Fig. 49 shows partially enlarged explanatory views of a basic object arrangement configured to visualize a second invisible image via a discrimination tool; Fig. 50 is an explanatory view showing a positional 15 relationship in which object units E and F are continuously periodically arranged in a matrix on a printed pattern 3 of a printed matter tightly in the vertical and horizontal directions; Fig. 51 shows explanatory views of a state in which objects 4 include low object portions 4a and high object 20 portions 4b; Fig. 52 shows views of a state in which visual observation from the front is done while overlaying a discrimination tool on the printed pattern 3 of the printed matter 1; Fig. 53 is a partial perspective view conceptually showing 25 the 3D structure of objects configured to add a first invisible image and a second invisible image; Fig. 54 shows partially enlarged explanatory views of an example of a basic object arrangement configured to visualize a second invisible image via a discrimination tool; 30 Fig. 55 shows explanatory views of a state in which objects 4 include low object portions 4a and high object portions 4b; Fig. 56 shows views of a state in which visual observation from the front is done while overlaying a discrimination tool 35 formed from a lenticular lens on the printed pattern 3 of a printed matter; 22 Fig. 57 shows views of a state in which visual observation from the front is done while overlaying a discrimination tool formed from a lenticular lens on the printed pattern 3 of a printed matter; 5 Fig. 58 shows explanatory views of a state in which objects 5a are deleted and objects 5c and 5d are added in fifth object units (E) configured to relax density imbalance; Fig. 59 is a view showing a state in which a pattern T is formed by making first objects in relief; 10 Fig. 60 shows views of an example of an authenticity determination method abroad using dot phase modulation; and Fig. 61 shows views of an example of an authenticity determination method abroad using line phase modulation. 15 DETALIED DESCRIPTION OF THE EMBODIMENTS Anti-counterfeit printed matters according to the first to ninth embodiments of the present invention will now be described with reference to the accompanying drawings. However, the present invention is not limited to the best mode 20 for carrying out to be described below and also incorporates various other embodiments within the technical scope defined in the appended claims. In the anti-counterfeit printed matters according to the first to ninth embodiments of the present invention, an invisible 25 image can easily be visualized to determine the authenticity by overlaying a discrimination tool 2 on a printed matter 1, as shown in Fig. 2. The discrimination tool 2 is, for example, a lenticular lens or a parallel line filter constructed by forming a plurality of lines along one direction as parallel lines on a 30 transparent filter. When visually observing a printed pattern 3 of the printed matter 1 under a normal visual conditions, the printed pattern 3 including an arbitrary motif is visually recognized, as shown in Fig. 1. When the lenticular lens, the parallel line filter having lines formed along one direction, or the 35 like provided in the discrimination tool 2 is overlaid on the printed matter 1 at a predetermined angle (for example, 450), 23 an invisible image 6 as shown in Fig. 3(a) or 3(b) is visualized as a visible image. The visible image looks like a negative or positive image as shown in Fig. 3(a) or 3(b) depending on the relative positional relationship between the discrimination tool 2 5 and the printed matter 1, which is incorporated in the effect of the present invention. In the printed matter of the present invention, a plurality of object elements having figures in an intentional positional relationship are arranged in a matrix. Fig. 4 simply illustrates 10 the positional relationship of the figures two-dimensionally in the printed matter according to the present invention. As shown in Fig. 4, the printed matter of the present invention includes at least two kinds of object units. Each of object units E -and F has a region where a first object 4 is formed and a 15 region where a second or third object is formed. The first object 4 can include a low object portion 4a and a high object portion 4b to be described later. A second object 5a in the object unit E and a third object 5b in the object unit F have opposite positional relationships with respect to the longitudinal 20 direction of the first object 4. The present invention also allows to visually recognize an arbitrary invisible image as a visible image by overlaying the discrimination tool 2 on the printed matter 1, as shown in Fig. 2. The discrimination tool 2 is, for example, a lenticular lens or a 25 parallel line filter constructed by forming a plurality of lines along one direction as parallel lines on a transparent filter. The discrimination tool 2 yields the effect by making each center line in the parallel line filter or the lenticular lens coincide with the second object 5a provided in the object unit E or the third 30 object 5b provided in the object unit F. The shape of the second object 5a and the third object 5b is not particularly limited, and important factors are the positional relationship and the heights from the printed surface. Fig. 5 shows examples of the shapes of the second object 35 5a and the third object 5b. In Fig. 5(a), the second object 5a and the third object 5b are circular. When a line Li coincides 24 with the discrimination tool 2 shown in Fig. 5, the invisible image can change to the visible image. This will be described later in detail. When the second object 5a and the third object 5b are circular, as shown in Fig. 5(a), an angle 0 of the line Li 5 can range from 900 to almost 450 with respect to the longitudinal direction of the first object 4. When the second object 5a and the third object 5b are elliptical, as shown in Fig. 5(b), the angle of the line Li is 900, like the major axis of the ellipses. When the second object 5a and the third object 5b 10 are elliptical but have a tilted major axis, as shown in Fig. 5(c), the line Li preferably tilts in the same direction. When the second object 5a and the third object 5b are circular and partially combine with the first objects 4, as shown in Fig. 5(d), the line Li is applied to a line that connects the center of the 15 circular second object 5a or third object 5b to the external circle. Note that a dimension S shown in Figs. 5(a) to 5(d) equals the pitch of the grooves of the discrimination tool 2. The invisible image is formed by arbitrarily arranging the second objects 5a and the third objects 5b in the on/off 20 relationship. Hence, when on objects or off objects continue, the object density is visually recognized as a shade, and density imbalance is visually recognized. When on objects are continuously arranged, one of the objects is deleted to relax the density imbalance. When off objects are continuously arranged, 25 a fourth object 5c or a fifth object 5d having an object area ratio 1/2 that of the second object 5a or the third objects 5b is formed at the midpoint between the second objects 5a or the third objects 5b that are continuously off. This relaxes the density imbalance of the visible image on the printed matter. 30 The objects having the above-described arrangement are formed by four kinds of object units. Fig. 6 shows partially enlarged explanatory views of an example of the basic object arrangement of the above-described four kinds of object units. In the present invention, the object 35 units include four object units A to D shown in Figs. 6(a) to 6(d). In the object units A to D, object groups including the objects 25 5a to 5d are formed in a desired arrangement. Lines Li to L4 run along the direction of the grooves of the discrimination tool 2 shown in Fig. 2. In Fig. 6, the angle is, for example, 450, and the dimension S equals the pitch of the grooves of the 5 discrimination tool 2. The object units A to D shown in Figs. 6(a) to 6(d) are arranged on the surface of the printed matter in accordance with desired rules. The size of the object units C and D is twice as large as that of the object units A and B in the longitudinal direction of the main line 4. The object 5a is 10 arranged in the object unit A shown in Fig. 6(a). The pair of objects 5b is arranged in the object unit B shown in Fig. 6(b). The object 5a, the object 5c, and one of the objects 5b in pair are arranged in the object unit C shown in Fig. 6(c). The other of the objects 5b in pair, the object 5c, and the object 5a are 15 arranged in the object unit D shown in Fig. 6(d). The object 5a arranged in the object unit A shown in Fig. 6(a) and the pair of objects 5b arranged in the object unit B shown in Fig. 6(b) have the same or almost the same object area. Note that the pair of objects 5b includes objects obtained by 20 dividing the object 5a. The object 5c arranged in the object unit C shown in Fig. 6(c) has an object area 1/2 or almost 1/2 that of the object 5a arranged in the object unit C or the pair of objects 5b. The object 5c is arranged almost at the midpoint between the object 5a and one object 5b arranged in the object 25 unit C. The object 5d arranged in the object unit D shown in Fig. 6(d) has an object area 1/2 or almost 1/2 that of the object 5a arranged in the object unit D or the pair of objects 5b. The object 5d is arranged almost at the midpoint between the object 5a and the other object 5b arranged in the object unit D. 30 As for the positional relationship of the objects 5a to 5d of the object units A to D shown in Figs. 6(a) to 6(d), they can be arranged based on a ratio of "2 : 3 : 4" in the longitudinal direction of the main lines 4. In the object unit A shown in Fig. 6(a), the object 5a is arranged at a position based on a ratio of 35 "2 : 2" in the longitudinal direction of the main lines 4. That is, the center of the object 5a is arranged at the center of the 26 object unit A. In the object unit B shown in Fig. 6(b), the objects 5b in pair are arranged at positions based on ratios of "0 : 4" and "4 : 4" in the longitudinal direction of the main lines 4. That is, the objects 5b in pair are arranged at the two edges 5 of the object unit B. Alternatively, the objects 5b in pair may be arranged at equal intervals from the center of the object unit B shown in Fig. 6(b) so as to oppose each other. In the object unit C shown in Fig. 6(c), the object 5a, the object 5c, and one of the objects 5b are arranged at positions based on a ratio of 10 "2 : 3 : 3" in the longitudinal direction of the main lines 4. That is, the center of the object 5a is spaced apart from the left edge by 2, the center of the object 5c is spaced apart from the object 5a by 3, and the other of the objects 5b is spaced apart from the object 5c by 3. In the object unit D shown in Fig. 15 6(d), the object 5a, the object 5c, and the other of the objects 5b are arranged at positions based on a ratio of "3 : 3 : 2" in the longitudinal direction of the main lines 4. That is, the other of the objects 5b is arranged at the left edge, the center of the object 5d is spaced apart from the object 5b by 3, and the 20 center of the object 5a is spaced apart from the object 5d by 3. The objects 5a to 5d of the object units A to D shown in Figs. 6(a) to 6(d) need not always have the shapes shown in Fig. 6 and may have any other shapes. However, the shapes are preferably prolonged in the direction of the lines Li and L2 or 25 the lines L3 and L4 spaced apart by the dimension S. For example, the objects 5a and 5b and the objects 5c and 5d may have similar elliptical shapes, as shown in Fig. 7(a). The objects 5c and 5d may have an elliptical shape thinner along the direction of the lines L3 and L4 than the objects 5a and 5b, 30 as shown in Fig. 7(b). The objects 5a and 5b and the objects 5c and 5d may be parallelograms having an object width ratio of 2 : 1 along the direction of the lines L3 and L4, as shown in Fig. 7(c). That is, the shapes of the objects 5a to 5d are not particularly limited as long as the objects 5c and 5d have an 35 object area ratio 1/2 or almost 1/2 that of the objects 5a and 5b.

27 Fig. 8 is an explanatory view showing a positional relationship in which the object units A in Fig. 6(a) and the object units B in Fig. 6(b) are continuously periodically arranged in a matrix on the printed pattern 3 of the printed matter tightly 5 in the vertical and horizontal directions. Note that the bold solid lines in Fig. 8 simply indicate the portion of the invisible image 6. In addition, the object units C shown in Fig. 6(c) and the object units D shown in Fig. 6(d) are arranged on at least part of the outline of the invisible image 6 so as to maintain the 10 continuity of the object groups of the object units A and B. Fig. 9 is an explanatory view showing the positions of the object units C and D on the printed pattern 3 based on conditions for arrangement at desired positions. The object units C are arranged at places where the object units A on the left side and 15 the object units B on the right side are adjacent in the horizontal direction (the longitudinal direction of the main lines 4 shown in Fig. 1). That is, the object units C are arranged on the left outline of the invisible image 6. On the other hand, the object units D are arranged at places where the object units B 20 on the left side and the object units A on the right side are adjacent in the horizontal direction (the longitudinal direction of the main lines 4 shown in Fig. 1). That is, the object units D are arranged on the right outline of the invisible image 6. (1) First Embodiment 25 An anti-counterfeit printed matter according to the first embodiment of the present invention will be described. Fig. 10 shows partially enlarged views of the arrangement of objects of the printed pattern of a printed matter according to the first embodiment. A dimension S 30 equals the pitch of the grooves of a discrimination tool 2 such as a parallel line filter or a lenticular lens shown in Fig. 2. The dimension S is 1 mm or less or 195 xm in the first embodiment. Object units A to D shown in Figs. 10(a) to 10(d) are arranged on the surface of the printed matter in accordance with desired 35 rules. Each of the object units shown in Figs. 10(a) and 10(b) is a square having 276 pm long sides. Each of the object units 28 shown in Figs. 10(c) and 10(d) is a rectangle having 276 pm long vertical sides and 552 pm long horizontal sides. An object 5a arranged in the object unit A of Fig. 10(a) and a pair of objects 5b arranged in the object unit B of Fig. 10(b) have the 5 same or almost the same object area. An object 5c arranged in the object unit C of Fig. 10(c) has an object width 1/2 or almost 1/2 that of the object 5a arranged in the object unit C. That is, the object 5c has an object area 1/2 or almost 1/2 that of the object 5a. In addition, the object 5c is arranged almost 10 at the midpoint between the object 5a and one of the objects 5b arranged in the object unit C. An object 5d arranged in the object unit D of Fig. 10(d) has an object width 1/2 or almost 1/2 that of the pair of objects 5b arranged in the object unit D. That is, the object 5d has an object area 1/2 or almost 1/2 that 15 of the pair of objects 5b. In addition, the object 5d is arranged almost at the midpoint between the object 5a and the other of the objects 5b arranged in the object unit D. Fig. 11 shows a state in which the object units A in Fig. 10(a) and the object units B in Fig. 10(b) are continuously 20 periodically arranged in a matrix on a printed pattern 3 of the printed matter tightly in the vertical and horizontal directions based on the arrangement in Fig. 8. As is apparent from Fig. 11, the objects 5a occupy the outside of the invisible image, and the pairs of objects 5b occupy the inside. Since the 25 objects 5a and 5b exist, an invisible image 6 (negative or positive) that is not visually recognized under a normal visual condition is formed by only the objects 5a, and the invisible image 6 (positive or negative) is formed by only the objects 5b. The invisible image 6 is already formed by the object 30 arrangement in Fig. 11. However, to make the formation of the invisible image 6 more unnoticeable, the object units C shown in Fig. 10(c) and the object units D shown in Fig. 10(d) are arranged on at least part of the outline of the invisible image 6 based on the arrangement in Fig. 9. The object units C are 35 arranged at places where the object units A on the left side and the object units B on the right side are adjacent in the 29 horizontal direction (the longitudinal direction of main lines 4 shown in Fig. 1). On the other hand, the object units D are arranged at places where the object units B on the left side and the object units A on the right side are adjacent in the 5 horizontal direction (the longitudinal direction of the main lines 4 shown in Fig. 1). Fig. 12 shows a state in which the objects 5c provided in the object units C and the objects 5d provided in the object units D are arranged. When the main lines 4 having tonal 10 elements in the line tone expression method are added, as shown in Fig. 13, the longitudinal design continuity of the objects 5a, the pairs of objects 5b, the objects 5c, and the objects 5d arranged at 450 cannot objectively be understood upon normal visual observation. The existence of the 15 intentional pattern there cannot be visually recognized, and the pattern is observed in a completely invisible state. Note that the object width of the main lines 4 need not be constant. The width can continuously change to make the main lines thicker or thinner. The main lines 4 have the camouflage effect of making 20 the invisible image hard to visually recognize before the discrimination tool is overlaid. In this state, the discrimination tool 2 formed from, for example, a lenticular lens is overlaid on the printed pattern 3 of a printed matter 1, as shown in Fig. 2, and the printed pattern 25 is visually observed from the front. This allows to visualize the invisible image 6 formed on the printed pattern 3 as a visible image. Note that in the first embodiment, the length S is 340 pm, and the printed pattern 3 is printed on a coated paper sheet by offset printing. However, the length S, the base 30 material of the printed matter, the printing method, the printing material, the printing apparatus, and the like are not particularly limited. Upon normal visual observation, the entire printed pattern 3 is visually recognized as an arbitrary design, that is, a 35 visible image. However, the invisible image 6 formed in the printed pattern 3 is not visually recognized. When the 30 discrimination tool is overlaid at a predetermined position on the printed pattern, the invisible image 6 that could not be visually recognized so far becomes visible. The principles of the visual recognition effect of the invisible image 6 according 5 to the first embodiment will be described below. When the invisible image 6 is not visually recognized, the visible image is formed by the main lines 4 shown in Fig. 13. Sub-lines 5 shown in Fig. 1 serve as objects that assist the main lines. To form the invisible image, the sub-lines 5 are 10 made of the objects 5a and 5b, which have a negative/positive relationship and the same or almost the same area and therefore cannot be confirmed as an image (pattern). The lenticular lens serving as a discrimination tool is placed at a predetermined position on the printed matter so as 15 to make the center line of each lens element coincide with the center of the object 5a, that is, a line Li in Fig. 10. In this case, the objects 5a are magnified so that the image (pattern) constructed by the objects 5a can be confirmed. At this time, the main lines 4 that construct the visible image have a small 20 area relative to the magnified objects 5a. When the lenticular lens is placed so as to make the center line coincide with a line L2, the objects 5b are magnified so that the invisible image 6 visually recognized based on the objects 5a becomes visible in an inverted negative/positive state. 25 Fig. 14 shows a state in which visual observation from the front is done while overlaying the discrimination tool 2 formed from a lenticular lens on the printed pattern 3 of the printed matter 1 at a predetermined angle and, more specifically, so as to make the center line of each lens element 30 coincide with the line Li in Fig. 10. When each center line 7 of the lenticular lens exists at the position shown in Fig. 14(a) so as to coincide with the line Li in Fig. 10, the objects 5a are located on the center lines 7. Since the objects 5a located on the center lines 7 look magnified by the characteristics of the 35 lenticular lens, a visible image having the graphic pattern shown in Fig. 14(b) is visualized upon visual observation.

31 When each center line 7 of the lenticular lens exists at the position shown in Fig. 15(a) so as to coincide with the line L2 in Fig. 10, the objects 5b are located on the center lines 7. Since the objects 5b located on the center lines 7 look magnified by 5 the characteristics of the lenticular lens, a visible image having the graphic pattern shown in Fig. 15(b) is visualized upon visual observation. The objects 5a and 5b have a negative/positive relationship. Hence, the invisible image 6 shown in Fig. 3(a) or 3(b) described above appears as a negative or positive visible 10 image. (2) Second Embodiment The objects 5a and the pairs of objects 5b of the printed matter 1 according to the first embodiment run diagonally in the object units A and B, as shown in Fig. 10. In the second 15 embodiment, however, the object shapes are not limited to those described above. For example, the objects may be lines that form rectangles or parallelograms in the diagonal direction of an object unit A or an object unit B, as shown in Fig. 16. Each of the object units shown in Figs. 16(a) and 16(b) is a 20 square having 276 ptm long sides. Each of the object units shown in Figs. 16(c) and 16(d) is a rectangle having 276 ptm long vertical sides and 552 ptm long horizontal sides. Fig. 17 shows a printed pattern 3 formed using the object units A to D shown in Figs. 16(a) to 16(d). As illustrated, objects 5a, pairs 25 of objects 5b, objects 5c, and objects 5d may form dotted lines. Hence, as long as there exist main lines 4 that produce at least the continuous tone of the objects in the printed pattern 3, the objects 5a and 5b pair off in a negative/positive relationship and have the same or almost the same area to form an invisible 30 image 6, the object 5c or 5d has an object width 1/2 or almost 1/2 that of the object 5a or the pair of objects 5b, and the main lines 4 are visually recognized as a visible image (design: pattern), the longitudinal length of the rectangle or the parallelogram is not particularly limited. Note that the area of 35 the object 5c or 5d may be 1/2 or almost 1/2 that of the object 5a.

32 (3) Third Embodiment As shown in Fig. 18, the objects may be triangles in the diagonal direction of an object unit A or an object unit B. Each of the object units shown in Figs. 18(a) and 18(b) is a square 5 having 276 tm long sides. Each of the object units shown in Figs. 18(c) and 18(d) is a rectangle having 276 tm long vertical sides and 552 tm long horizontal sides. Fig. 19 shows a printed pattern 3 formed using the object units A to D shown in Figs. 18(a) to 18(d). As illustrated, objects 5a, pairs of objects 10 5b, objects 5c, and objects 5d may form dotted lines in which triangles are continuously arranged. Hence, as long as there exist main lines 4 that produce at least the continuous tone of the objects in the printed pattern 3, the objects 5a and the pairs of objects 5b pair off in a negative/positive relationship 15 and have the same or almost the same area to form an invisible image 6, the object 5c or 5d has an object area 1/2 or almost 1/2 that of the object 5a or the pair of objects 5b, and the main lines 4 are visually recognized as a visible image (design: pattern), the object shapes are not particularly limited. 20 (4) Fourth Embodiment The object units according to the above-described first to third embodiments basically have a square shape. However, the four sides of an object unit can have arbitrary lengths as long as a dimension S matches the pitch of the parallel line 25 filter or lenticular lens of a discrimination tool 2. More specifically, when an angle y of an object 5a changes, as shown in Figs. 20(a) to 20(c), the vertical length of object units A and B is given by v = S-sec(x), and the horizontal length is given by h = S.csc(X). For example, the angle X is 450 in Fig. 20(a). 30 When the dimension S corresponding to the pitch of the lenticular lens is 195 tm, both the vertical length V and the horizontal length h are 276 pm. In Fig. 20(b), the angle X' is 35 . When the dimension S corresponding to the pitch of the lenticular lens is 195 tm, the vertical length v' is 239 pm, and 35 the horizontal length h' is 341 pm. In Fig. 20(c), the angle X" is 600. When the dimension S corresponding to the pitch of the 33 lenticular lens is 195 ptm, the vertical length v" is 391 pm, and the horizontal length h" is 226 pm. Note that for object units C and D, the horizontal length h doubles in Figs. 20(a) to 20(c) in accordance with the first to third embodiments. As described 5 above, changing the angle of the object 5a enables to arbitrarily adjust the interval of main lines 4 arranged as horizontal parallel lines. Note that according to the first to fourth embodiments, since a clear visible image having a quality design and a high 10 degree of freedom can be formed using the main lines 4, the techniques are also useful for printed matters such as securities. In addition, the invisible image 6 formed by the objects 5a and the pairs of objects 5b can easily and clearly be visualized by overlaying the discrimination tool 2 on the printed matter 1. 15 Furthermore, even if single color printing is performed using objects of the same color in the printed matter according to the present invention, a sufficient anti-counterfeit effect can be obtained. In addition, since the plate making and printing methods and the like are not particularly limited, the cost can 20 be reduced. Note that according to the first to fourth embodiments, a visible image is formed by a first object group including the main lines 4 arrayed in the first direction at a predetermined pitch and a second object group including the objects 5a, 5b, 5c, 25 and 5d arranged in the non-imaging areas among the main lines 4. The second object group is arrayed in the second direction at a predetermined angle with respect to the main lines 4. The second object group forms the negative and positive regions of the invisible image. The second object group includes the 30 objects 5a serving as a plurality of second objects that form one of the negative and positive regions of the invisible image, the objects 5b serving as a plurality of third objects that form the other region, and the objects 5c and 5d serving as a plurality of fourth objects that relax density imbalance. The object area of 35 the objects 5a serving as the second objects is the same or almost the same as that of the objects 5b serving as the third 34 objects. The objects 5c and 5d serving as the fourth objects have an object area 1/2 or almost 1/2 that of the objects 5a serving as the second objects or the objects 5b serving as the third objects. The objects 5a serving as the second objects, 5 the objects 5b serving as the third objects, and the objects 5c and 5d serving as the fourth objects are formed in a plurality of object units that are periodically arrayed. The plurality of object units include a first object unit that is the object unit A, a second object unit that is the object unit B, a third object unit 10 that is the object unit C, and a fourth object unit that is the object unit D. The first object unit that is the object unit A and the second object unit that is the object unit B have the same size. The third object unit that is the object unit C and the fourth object unit that is the object unit D include an object unit 15 whose size in the main line direction is twice as large as that of the first object unit that is the object unit A and the second object unit that is the object unit B. More specifically, in the object unit A, the object 5a is formed so as to pass through the center of the object unit A. In the object unit B, the objects 5b 20 in pair are obtained by dividing the object 5a and formed at equal intervals from the center of the object unit B so as to oppose each other. In the object unit C, the object 5a, the object 5c, and one of the objects 5b in pair are sequentially formed. In the object unit D, the other of the objects 5b in pair, 25 the object 5d, and the object 5a are sequentially formed. The third object unit that is the object unit C or the fourth object unit that is the object unit D is formed on at least part of the outline of the invisible image. Note that in the anti-counterfeit printed matter of the 30 first embodiment, the second objects that are the objects 5a, the third objects that are the objects 5b, and the fourth objects that are the objects 5c and 5d are formed as one line across the object units adjacent in the second direction. (5) Fifth Embodiment 35 In the above-described first to fourth embodiments, since the object units formed as quadrilaterals are arranged in a 35 matrix, the lines that construct the invisible image inevitably look like parallel straight lines. However, when main lines 4' are arranged radially, as shown in Fig. 27, objects 5a' and 5b' that construct the invisible image inevitably look like concentric 5 lines. In the fifth embodiment of the present invention, an anti-counterfeit printed matter having an invisible image formed by an object arrangement using concentric lines will be described. Fig. 21 shows partially enlarged views of the object 10 arrangement of the printed pattern of a printed matter according to the fifth embodiment. A dimension S in the normal direction of the fan-shaped region equals the pitch of the grooves of a discrimination tool 2' such as a concentric parallel line filter shown in Fig. 22. The dimension S is 1 mm 15 or less or 195 tm in the fifth embodiment. Object units A to D shown in Figs. 21(a) to 21(d) are arranged on the surface of the printed matter in accordance with desired rules. The length of the arc of each of the fan-shaped (arch-shaped) regions in Figs. 21(a) and 21(b) is decided by the size of a printed pattern 3 to 20 be described later and the division angle of the radially arranged main lines 4. Each of the object units shown in Figs. 21(c) and 21(d) has a size twice as large as the dimension S in the normal direction of the fan-shaped region. An object 5a' arranged in the object unit A of Fig. 21(a) and an object 5b' 25 arranged in the object unit B of Fig. 21(b) have the same or almost the same object width. An object 5c' arranged in the object unit C of Fig. 21(c) has an object width 1/2 or almost 1/2 that of the object 5a' arranged in the object unit C. In addition, the object 5c' is arranged almost at the midpoint between the 30 object 5a' and the object 5b' arranged in the object unit C. An object 5d' arranged in the object unit C of Fig. 21(d) has an object width 1/2 or almost 1/2 that of the object 5b' arranged in the object unit D. In addition, the object 5d' is arranged almost at the midpoint between the object 5b' arranged in the 35 object unit D and the object 5a' of the object unit A or C adjacently arranged.

36 Fig. 23 is an explanatory view showing a positional relationship in which the object units A in Fig. 21(a) and the object units B in Fig. 21(b) are continuously periodically arranged in a matrix on a printed pattern 3' of the printed 5 matter tightly in the vertical and horizontal directions. Note that the bold solid lines in Fig. 23 simply indicate the portion of an invisible image 6'. Fig. 24 shows a state in which the objects 5a' and 5b' are arranged based on the arrangement in Fig. 23. As is apparent, the objects 5a' occupy the outside of 10 the invisible image, and the objects 5' occupy the inside. Since the objects 5a' and 5b' exist, the invisible image 6' (negative or positive) that is not visually recognized under a normal visual condition is formed by only the objects 5a', and the invisible image 6 (positive or negative) is formed by only the objects 5b'. 15 The invisible image 6' is already formed by the object arrangement in Fig. 24. However, to make the formation of the invisible image 6' more unnoticeable, the object units C shown in Fig. 21(c) and the object units D shown in Fig. 21(d) are arranged at desired positions. The object units C are arranged 20 at places where the object units A outside and the object units B inside are adjacent in the radial direction (the longitudinal direction of the main lines 4' shown in Fig. 27). On the other hand, the object units D are arranged at places where the object units B outside and the object units A inside are adjacent 25 in the radial direction (the longitudinal direction of the main lines 4' shown in Fig. 27). Fig. 25 is an explanatory view showing the positions of the object units C and D on the printed pattern 3' based on conditions for arrangement at desired positions. 30 Fig. 26 shows a state in which the objects 5c' provided in the object units C and the objects 5d' provided in the object units D are arranged based on the arrangement in Fig. 25. When the main lines 4' having tonal elements in the line tone expression method and radially running from the center are 35 added, as shown in Fig. 27, the longitudinal design continuity of the objects 5a', 5b', 5c', and 5d' arranged concentrically cannot 37 objectively be understood upon normal visual observation. The existence of the intentional pattern there cannot be visually recognized, and the pattern is observed in a completely invisible state. 5 In this state, the discrimination tool 2' formed from, for example, a concentric parallel line filter is overlaid on the printed pattern 3' of a printed matter 1', as shown in Fig. 22, and the printed pattern is visually observed from the front. This allows to visualize the invisible image 6' formed on the 10 printed pattern 3' as a visible image. Note that in the fifth embodiment, the length S is 195 Lm, and the printed pattern 3' is printed on a coated paper sheet by offset printing. However, the length S, the base material of the printed matter, the printing method, the printing material, the printing apparatus, 15 and the like are not particularly limited. Upon normal visual observation, the entire printed pattern 3' is visually recognized as an arbitrary design, that is, a visible image. However, the invisible image 6' formed in the printed pattern 3' is not visually recognized. When the 20 discrimination tool is overlaid at a predetermined position on the printed pattern, the invisible image 6' that could not be visually recognized so far becomes visible. The principles of the visual recognition effect of the invisible image 6 according to the fifth embodiment will be described below. 25 When the invisible image 6' is not visually recognized, the visible image is formed by the main lines 4' shown in Fig. 27. Sub-lines 5 shown in Fig. 1 serve as objects that assist the main lines. To form the invisible image, the sub-lines 5' are made of the objects 5a' and 5b', which have a negative/positive 30 relationship and the same or almost the same area and therefore cannot be confirmed as an image (pattern). The concentric parallel line filter serving as a discrimination tool is placed at a predetermined position on the printed matter so as to make the center line of each lens 35 element coincide with the center of the object 5a', that is, a line Li' in Fig. 21. In this case, the objects 5a' are magnified so 38 that the image (pattern) constructed by the objects 5a' can be confirmed. At this time, the main lines 4' that construct the visible image have a small area relative to the magnified objects 5a'. When the concentric parallel line filter is placed so 5 as to make the center line coincide with a line L2', the objects 5b' are magnified so that the invisible image 6' visually recognized based on the objects 5a' becomes visible in an inverted negative/positive state. More specifically, Fig. 28 shows a state in which visual 10 observation from the front is done while overlaying the discrimination tool 2' formed from a concentric parallel line filter on the printed pattern 3' of the printed matter 1 so as to make the center line of each lens element coincide with the line Li in Fig. 21. When each center line 7 of the concentric parallel line 15 filter exists at a position so as to coincide with the line Li' in Fig. 21, the objects 5a' are located on the center lines 7. Since the objects 5a' located on the center lines 7 look magnified by the characteristics of the concentric parallel line filter, a visible image having the graphic pattern shown in Fig. 28 is visualized 20 upon visual observation. When each center line 7 of the concentric parallel line filter exists at the position shown in Fig. 29 so as to coincide with the line L2' in Fig. 21, the objects 5b' are located on the center lines 7. Since the objects 5b' located on the center lines 7 look magnified by the characteristics of the 25 concentric parallel line filter, a visible image having the graphic pattern shown in Fig. 29 is visualized upon visual observation. The objects 5a' and 5b' have a negative/positive relationship. A visible image is formed by a first object group including the main lines 4' formed radially from the center and a second 30 object group including the objects 5a', 5b', 5c', and 5d' arranged in the non-imaging areas among the main lines 4'. The objects of the second object group are arrayed concentrically from the center at a predetermined pitch. The second object group forms the negative and positive regions of 35 the invisible image. The second object group includes the objects 5a' serving as a plurality of second objects that form 39 one of the negative and positive regions of the invisible image, the objects 5b' serving as a plurality of third objects that form the other region, and the objects 5c' and 5d' serving as a plurality of fourth objects that relax density imbalance. The 5 object area of the objects 5a' serving as the second objects is the same or almost the same as that of the objects 5b' serving as the third objects. The objects 5c' and 5d' serving as the fourth objects have an object area 1/2 or almost 1/2 that of the objects 5a' serving as the second objects or the objects 5b' 10 serving as the third objects. The objects 5a' serving as the second objects, the objects 5b' serving as the third objects, and the objects 5c' and 5d' serving as the fourth objects are formed in a plurality of arch-shaped object units that are periodically arrayed. The plurality of arch-shaped object units include a 15 first object unit that is the object unit A, a second object unit that is the object unit B, a third object unit that is the object unit C, and a fourth object unit that is the object unit D. The first object unit that is the object unit A and the second object unit that is the object unit B have the same size. The third 20 object unit that is the object unit C and the fourth object unit that is the object unit D include an object unit having a size larger than that of the first object unit that is the object unit A and the second object unit that is the object unit B and a shape elongated toward the center in the concentric direction with 25 respect to the first object unit that is the object unit A and the second object unit that is the object unit B. In the object unit A, the object 5a' is formed in the concentric direction at a predetermined position. In the object unit B, the object 5b' is formed in the concentric direction at a position shifted from the 30 formation position of the object 5a' by a 1/2 or almost 1/2 pitch. In the object unit C, the object 5a', 5c', 5b' are sequentially formed. In the object unit D, the objects 5b' and 5d' are sequentially formed. The third object unit that is the object unit C or the fourth object unit that is the object unit D is 35 formed on at least part of the outline of the invisible image. The printing method of the anti-counterfeit printed 40 matters according to the above-described first to fifth embodiments is not limited. Printing using a printing method capable of forming projecting objects makes the objects of the printed matter tactile in themselves. The projecting objects 5 preferably have an object height of about 10 to 100 ptm. The preferable printing method is preferably intaglio printing, screen printing, or gravure printing. The best printing method is the intaglio printing method. This method is therefore applicable to the portraits, landscapes, and the like on various securities 10 such as banknotes, postage stamps, and revenue stamps. Note that the units described in this specification are not formed on an actual printed matter but only serve as a means to explain the positional relationship of the objects 5a, 5b, 5c, and 5d. 15 A printed matter will be described next, which has an invisible image to be visually recognized by observing the printed matter at an arbitrary angle other than 900 without using the discrimination tool 2 according to the above-described embodiments. Fig. 30 is a partial perspective view 20 conceptually showing the 3D structure of objects configured to add a first invisible image 8 and the second invisible image 6 featured in the present invention. As shown in Fig. 30, the printed pattern 3 is formed on the printed matter 1. The printed pattern 3 includes the plurality of main lines 4 having an 25 object width w and arranged at an equal interval, and the objects 5a to 5d formed in the non-imaging areas among the main lines 4. The printed pattern also includes low object portions 4a and high object portions 4b having different projection heights from the printing surface of the printed 30 matter 1. More specifically, when the printed matter 1 is observed right from above, as shown in the plan view of Fig. 31(a), the observer does not recognize the projection heights of the low object portions 4a and the high object portions 4b. Actually, the low object portions 4a and the high object portions 35 4b have different projection heights, as shown in the front view of Fig. 31(b). That is, the low object portions 4a form the 41 background pattern, whereas the high object portions 4b form a region serving as the first invisible image 8. Fig. 32 is a side view -of the printed matter 1 shown in Fig. 30. When the observer observes the printed matter at a 5 visual angle 15 that is an arbitrary angle other than 900 with respect to the base material, as shown in Fig. 32, the printed matter looks in different ways because of the heights of the low object portions 4a and the high object portions 4b. A visually recognized length 3b of the high object portion 4b looks longer 10 than a visually recognized length 3a of the low object portion 4a. That is, since the visually recognized length 3b of the high object portion 4b looks longer than the visually recognized length 3a of the low object portion 4a on the printed pattern 3, the high object portions 4b are observed in a density higher 15 than that of the low object portions 4a, as shown in the perspective view of Fig. 33. Hence, the first invisible image 8 in the region formed by the high object portions 4b appears as a visible image upon observation from off-center. Note that the object pitch and the heights of the low object portions 4a and 20 the high object portions 4b of the printed pattern 3 are not particularly limited. However, it is preferable that the object width w of the low object portions 4a and the high object portions 4b is about 200 to 600 pm, the object pitch is about 300 to 800 pm, the projection height of the low object portions 25 4a is about 10 to 30 Lm, and the projection height of the high object portions 4b is about 20 to 60 tm. The projection height difference between the low object portions 4a and the high object portions 4b is not particularly limited but is preferably about 10 to 50 pm. 30 It -is also possible to easily visualize the invisible image to determine the authenticity by overlaying the discrimination tool 2 on the printed matter 1, as shown in Fig. 34. When visually observing the printed pattern 3 of the printed matter 1 under a normal visual condition, an object pattern is visually recognized 35 without any change. When the lenticular lens, the parallel line filter having lines formed along one direction, or the like 42 provided in the discrimination tool 2 is overlaid on the printed matter 1 at a predetermined angle, the second invisible image 6 formed by arranging the objects 5a and 5b is visualized as a negative or positive visible image. When visually observing 5 under a visual condition, density imbalance occurs because of the arrangement of the objects 5a and 5b. In this case, objects are added or deleted, as shown in Fig. 58. As for object deletion, when an object unit E is arranged on the right side of an object unit F, as shown in Fig. 58(a), the pattern is 10 visually recognized in a high density because the objects 5b and 5a are arranged adjacently. At this time, the object 5a of the object unit E is deleted, as shown in Fig. 58(b) (the object 5b may be deleted). When the object 5a of the object unit E is deleted, the pattern is visually recognized in a low density 15 because the object unit E has neither the object 5a nor the object 5b, as shown in Fig. 58(c). Hence, the object 5c having an object area ratio 1/2 or almost 1/2 that of the object 5a or 5b is added at the midpoint between the object b of the object unit F adjacent to the object unit E and the object 5a of an 20 object unit E'. Similarly, when an object unit F' is arranged on the right side of the object unit E', the pattern is visually recognized in a low density because of the absence of an object at the boundary between the object units. Hence, the object 5d having an object area ratio 1/2 or almost 1/2 that of the 25 object 5a or 5b is added at the midpoint between the object 5a of the object unit E' and the object 5b of the object unit F'. This allows to relax the density imbalance in the entire printed matter. Fig. 35 shows partially enlarged explanatory views of the 30 basic object arrangement after the above-described processing of relaxing the density imbalance. In the present invention, the object units include the four object units A to D shown in Figs. 35(a) to 35(d). In the object units A to D, object groups including the objects 5a to 5d are formed in a desired 35 arrangement. Lines Li to L4 run along the direction of the grooves of the discrimination tool 2 shown in Fig. 34. In Fig.

43 35, the angle is, for example, 450, and the dimension S equals the pitch of the grooves of the discrimination tool 2. The object units A to D shown in Figs. 35(a) to 35(d) are arranged on the surface of the printed matter in accordance with desired 5 rules. The size of the object units C and D is twice as large as that of the object units A and B in the longitudinal direction of the objects 4. The object 5a is arranged in the object unit A shown in Fig. 35(a). The pair of objects 5b is arranged in the object unit B shown in Fig. 35(b). The object 5a, the object 5c, 10 and one of the objects 5b in pair are arranged in the object unit C shown in Fig. 35(c). The other of the objects 5b in pair, the object 5d, and the object 5a are arranged in the object unit D shown in Fig. 35(d). The object 5a arranged in the object unit A shown in Fig. 35(a) and the pair of objects 5b arranged in the 15 object unit B shown in Fig. 35(b) have the same or almost the same object area. Note that the pair of objects 5b includes objects obtained by dividing the object 5a. The object 5c arranged in the object unit C shown in Fig. 35(c) has an object area 1/2 or almost 1/2 that of the object 5a arranged in the 20 object unit C or the pair of objects 5b. The object 5c is arranged almost at the midpoint between the object 5a and one object 5b arranged in the object unit C. The object 5d arranged in the object unit D shown in Fig. 35(d) has an object area 1/2 or almost 1/2 that of the object 5a arranged in the 25 object unit D or the pair of objects 5b. The object 5d is arranged almost at the midpoint between the object 5a and the other object 5b arranged in the object unit D. As for the positional relationship of the objects 5a to 5d of the object units A to D shown in Figs. 35(a) to 35(d), they 30 can be arranged based on a ratio of "2 : 3 : 4" in the longitudinal direction of the objects 4. In the object unit A shown in Fig. 35(a), the object 5a is arranged at a position based on a ratio of "2 : 2" in the longitudinal direction of the objects 4. That is, the center of the object 5a is arranged at 35 the center of the object unit A. In the object unit B shown in Fig. 35(b), the objects 5b in pair are arranged at positions 44 based on ratios of "0 : 4" and "4 : 4" in the longitudinal direction of the objects 4. That is, the objects 5b in pair are arranged at the two edges of the object unit B. Alternatively, the objects 5b in pair may be arranged at equal intervals from 5 the center of the object unit B shown in Fig. 35(b) so as to oppose each other. In the object unit C shown in Fig. 35(c), the object 5a, the object 5c, and one of the objects 5b are arranged at positions based on a ratio of "2 : 3 : 3" in the longitudinal direction of the objects 4. That is, the center of 10 the object 5a is spaced apart from the left edge by 2, the center of the object 5c is spaced apart from the object 5a by 3, and the other of the objects 5b is spaced apart from the object 5c by 3. In the object unit D shown in Fig. 35(d), the object 5a, the object 5c, and the other of the objects 5b are arranged at 15 positions based on a ratio of "3 : 3 : 2" in the longitudinal direction of the objects 4. That is, the other of the objects 5b is arranged at the left edge, the center of the object 5d is spaced apart from the object 5b by 3, and the center of the object 5a is spaced apart from the object 5d by 3. 20 The objects 5a to 5d of the object units A to D shown in Figs. 35(a) to 35(d) need not always have the shapes shown in Fig. 35 and may have any other shapes. For example, the objects 5a and 5b and the objects 5c and 5d may have similar elliptical shapes. The objects 5c and 5d may have an elliptical 25 shape thinner along the direction of the lines L3 and L4 than the objects 5a and 5b, The objects 5a and 5b and the objects 5c and 5d may be parallelograms having an object width ratio of 2 : 1 along the direction of the lines L3 and L4. That is, the shapes of the objects 5a to 5d are not particularly limited as 30 long as the objects 5c and 5d have an object area ratio 1/2 or almost 1/2 that of the objects 5a and 5b. However, as represented by Fig. 35, the objects are preferably elongated in the direction of the lines Li and L2 or the lines L3 and L4 spaced apart by the dimension S. 35 Fig. 36 is an explanatory view showing a positional relationship in which the object units A in Fig. 35(a) and the 45 object units B in Fig. 35(b) are continuously periodically arranged in a matrix on the printed pattern 3 of the printed matter tightly in the vertical and horizontal directions. Note that the bold solid lines in Fig. 36 simply indicate the portion of 5 the second invisible image 6. In addition, the object units C shown in Fig. 35(c) and the object units D shown in Fig. 35(d) are arranged on at least part of the outline of the second invisible image 6 so as to maintain the continuity of the object groups of the object units A and B. The object units C are 10 arranged at places where the object units A on the left side and the object units B on the right side are adjacent in the horizontal direction (the longitudinal direction of the objects 4 when all units are arranged). That is, the object units C are arranged on the left outline of the second invisible image 6. 15 On the other hand, the object units D are arranged at places where the object units B on the left side and the object units A on the right side are adjacent in the horizontal direction (the longitudinal direction of the objects 4 shown in Fig. 1). That is, the object units D are arranged on the right outline of the 20 second invisible image 6. In this state, the discrimination tool 2 formed from, for example, a lenticular lens is overlaid on the printed pattern 3 of the printed matter 1, as shown in Fig. 34, and the printed pattern is visually observed from the front. This allows to 25 visualize the second invisible image 6 formed on the printed pattern 3 as a visible image. Upon normal visual observation, the entire printed pattern 3 is visually recognized as an arbitrary design, that is, a visible image. However, the second invisible image 6 formed in 30 the printed pattern 3 is not visually recognized. When the discrimination tool is overlaid at a predetermined position on the printed pattern, the second invisible image 6 that could not be visually recognized so far becomes visible. The principles of the visual recognition effect of the second invisible image 6 35 according to the first embodiment will be described below. Figs. 37 and 38 show a state in which visual observation 46 from the front is done while overlaying the discrimination tool 2 formed from a lenticular lens on the printed. pattern 3 of the printed matter 1 at a predetermined angle and, more specifically, so as to make the center line of each lens element 5 coincide with the line Li in Fig. 35. When each center line 7 of the lenticular lens exists at the position shown in Fig. 37(a) so as to coincide with the line Li in Fig. 35, the objects 5a are located on the center lines 7. Since the objects 5a located on the center lines 7 look magnified by the characteristics of the 10 lenticular lens, a visible image having the graphic pattern shown in Fig. 37(b) is visualized upon visual observation. When each center line 7 of the lenticular lens exists at the position shown in Fig. 38(a) so as to coincide with the line L2 in Fig. 35, the objects 5b are located on the center lines 7. Since 15 the objects 5b located on the center lines 7 look magnified by the characteristics of the lenticular lens, a visible image having the graphic pattern shown in Fig. 38(b) is visualized upon visual observation. The objects 5a and 5b have a negative/positive relationship. Hence, the second invisible image 6 appears as a 20 negative or positive visible image. Alternatively, for example, the objects that form the second invisible image 6 in Figs. 30 to 35 may have shapes like objects 4' that are in contact with the first objects 4 shown in the perspective view of Fig. 53. The objects 5a to 5d shown in 25 Fig. 30 are colored objects. In Fig. 53, however, the portions corresponding to the objects 5a to 5d are uncolored hollow portions of the objects 4'. More specifically, as shown in the partial enlarged view of the basic object arrangement configured to visualize the second invisible image 6 via the 30 discrimination tool 2 in Fig. 34, In the present invention, the object units include the four object units A to D shown in Figs. 54(a) to 54(d). In the object units A to D, object groups including hollow portions 5a' to 5d' in the objects 4' in contact with the objects 4 are formed in a desired arrangement. Lines 35 Li to L4 run along the direction of the grooves of the discrimination tool 2 shown in Fig. 34. In Fig. 54, the angle is, 47 for example, 450, and the dimension S equals the pitch of the grooves of the discrimination tool 2. The object units A to D shown in Figs. 54(a) to 54(d) are arranged on the surface of the printed matter in accordance with desired rules. The size of 5 the object units C and D is twice as large as that of the object units A and B in the longitudinal direction of the objects 4. The hollow portion 5a' is arranged in the object unit A shown in Fig. 54(a). The pair of hollow portions 5b' is arranged in the object unit B shown in Fig. 54(b). The hollow portion 5a', the hollow 10 portion 5c', and one of the hollow portions 5b' in pair are arranged in the object unit C shown in Fig. 54(c). The other of the hollow portions 5b' in pair, the hollow portion 5d', and the hollow portion 5a' are arranged in the object unit D shown in Fig. 54(d). The hollow portion 5a' arranged in the object unit A 15 shown in Fig. 54(a) and the pair of hollow portions 5b' arranged in the object unit B shown in Fig. 54(b) have the same or almost the same space area. Note that the pair of hollow portions 5b' includes spaces obtained by dividing the hollow portion 5a'. The hollow portion 5c' arranged in the object unit 20 C shown in Fig. 54(c) has a space area 1/2 or almost 1/2 that of the hollow portion 5a' arranged in the object unit C or the pair of hollow portions 5b'. The hollow portion 5c' is arranged almost at the midpoint between the hollow portion 5a' and one hollow portion 5b' arranged in the object unit C. The hollow 25 portion 5d' arranged in the object unit D shown in Fig. 54(d) has a space area 1/2 or almost 1/2 that of the hollow portion 5a' arranged in the object unit D or the pair of hollow portions 5b'. The hollow portion 5d' is arranged almost at the midpoint between the hollow portion 5a' and the other hollow portion 5b' 30 arranged in the object unit D. As for the positional relationship of the hollow portions 5a' to 5d' of the object units A to D shown in Figs. 54(a) to 54(d), they can be arranged based on a ratio of "2 : 3 : 4" in the longitudinal direction of the objects 4. In the object unit A 35 shown in Fig. 54(a), the hollow portion 5a' is arranged at a position based on a ratio of "2 : 2" in the longitudinal direction 48 of the objects 4. That is, the center of the hollow portion 5a' is arranged at the center of the object unit A. In the object unit B shown in Fig. 54(b), the hollow portions 5b' in pair are arranged at positions based on ratios of "0 : 4" and "4 : 4" in 5 the longitudinal direction of the objects 4. That is, the hollow portions 5b' in pair are arranged at the two edges of the object unit B. Alternatively, the hollow portions 5b' in pair may be arranged at equal intervals from the center of the object unit B shown in Fig. 54(b) so as to oppose each other. In the object 10 unit C shown in Fig. 54(c), the hollow portion 5a', the hollow portion 5c', and one of the hollow portions 5b' are arranged at positions based on a ratio of "2 : 3 : 3" in the longitudinal direction of the objects 4. That is, the center of the hollow portion 5a' is spaced apart from the left edge by 2, the center 15 of the hollow portion 5c' is spaced apart from the hollow portion 5a' by 3, and the other of the hollow portions 5b' is spaced apart from the hollow portion 5c' by 3. In the object unit D shown in Fig. 54(d), the hollow portion 5a', the hollow portion 5c', and the other of the hollow portions 5b' are arranged at 20 positions based on a ratio of "3 : 3 : 2" in the longitudinal direction of the objects 4. That is, the other of the hollow portions 5b' is arranged at the left edge, the center of the hollow portion 5c' is spaced apart from the hollow portion 5b' by 3, and the center of the hollow portion 5a' is spaced apart from 25 the hollow portion 5d' by 3. The hollow portions 5a' to 5d' of the object units A to D shown in Figs. 54(a) to 54(d) need not always have the shapes shown in Fig. 54 and may have any other shapes. For example, the hollow portions 5a' and 5b' and the hollow portions 5c' and 30 5d' may have similar elliptical shapes. The hollow portions 5c' and 5d' may have an elliptical shape thinner along the direction of the lines L3 and L4 than the hollow portions 5a' and 5b'. The hollow portions 5a' and 5b' and the hollow portions 5c' and 5d' may be parallelograms having an object width ratio of 2 : 1 35 along the direction of the lines L3 and L4. That is, the shapes of the hollow portions 5a' to 5d' are not particularly limited as 49 long as the hollow portions 5c' and 5d' have an object area ratio 1/2 or almost 1/2 that of the hollow portions 5a' and 5b'. However, as represented by Fig. 54, the hollow portions are preferably elongated in the direction of the lines Li and L2 or 5 the lines L3 and L4 spaced apart by the dimension S. When the object units A to D shown in Fig. 54 are continuously periodically arranged in a matrix on the printed matter tightly in the vertical and horizontal directions, as shown in Fig. 55, the printed pattern 3 as shown in Fig. 55 is obtained. 10 Fig. 55 shows explanatory views of a state in which the objects 4 include the low object portions 4a and the high object portions 4b. When the printed matter 1 is observed right from above, as shown in the plan view of Fig. 55(a), the observer does not recognize the projection heights of the low object 15 portions 4a and the high object portions 4b. Actually, the low object portions 4a and the high object portions 4b have different projection heights, as shown in the front view of Fig. 55(b). That is, the low object portions 4a form the background pattern, whereas the high object portions 4b form a region 20 serving as the first invisible image 8. Hence, the first invisible image 8 in the region formed by the high object portions 4b appears as a visible image upon observation from off-center. Figs. 56 and 57 show a state in which visual observation from the front is done while overlaying the discrimination tool 2 25 formed from a lenticular lens on the printed pattern 3 of the printed matter 1 at a predetermined angle and, more specifically, so as to make the center line of each lens element coincide with the line Li in Fig. 54. When each center line 7 of the lenticular lens exists at the position shown in Fig. 56(a) so 30 as to coincide with the line Li in Fig. 54, a visible image having the graphic pattern shown in Fig. 56(b) is visualized upon visual observation. When each center line 7 of the lenticular lens exists at the position shown in Fig. 57(a) so as to coincide with the line L2 in Fig. 54, a visible image having the graphic pattern 35 shown in Fig. 57(b) is visualized upon visual observation. The hollow portions 5a' and 5b' have a negative/positive relationship.

50 Hence, the second invisible image 6 appears as a negative or positive visible image. Note that in the best mode for carrying out the present invention, the dimension S is 340 tm, and the printed pattern 3 5 is printed on a coated paper sheet by offset printing. However, the dimension S is not particularly limited, and the printing medium used for the printed matter 1 can be of any type such as quality paper or coated paper. The plate making and printing method for transferring the printed pattern 3 to the 10 printing medium can also be of any type such as intaglio printing or screen printing if the method can make the material project from the printing surface. Anti-counterfeit printed matters according to the sixth to ninth embodiments of the present invention will now be 15 described with reference to the accompanying drawings. However, the present invention is not limited to the sixth to ninth embodiments to be described below and also incorporates various other embodiments within the technical scope defined in the appended claims. 20 (6) Sixth Embodiment In the first embodiment, an additional design effect is imparted to the above-described objects 4. As shown in Fig. 39, the basic object arrangement is the same as that in Fig. 31. A smaller object width is set for the objects 4 so that the object 25 area ratio per unit length of the portion where a pattern 9 having an arbitrary shape is formed changes upon observing the objects 4 from the front. This allows to visually recognize the pattern 9 having an arbitrary shape as a visible image. Alternatively, making the objects 4 in relief also enables to form 30 a pattern having an arbitrary shape, as shown in Fig. 59. In addition, the objects 4 form a first invisible image 8 by low object portions 4a and high object portions 4b having different projection heights from the printing surface of a printed matter 1. When the observer observes the printed 35 matter at a visual angle 15 that is an arbitrary angle other than 900 with respect to the base material as shown in Fig. 32, a 51 visually recognized length 3b of the high object portion 4b looks longer than a visually recognized length 3a of the low object portion 4a. That is, since the visually recognized length 3b of the high object portion 4b looks longer than the visually 5 recognized length 3a of the low object portion 4a on a printed pattern 3, the high object portions 4b are observed in a density higher than that of the low object portions 4a, as shown in the perspective view of Fig. 40. Hence, the first invisible image 8 in the region formed by the high object portions 4b appears as 10 a visible image upon observation from off-center. However, proper adjustment is necessary because the larger the change in the object width of the objects 4 is, the poorer the visibility of the first invisible image 8 is. (7) Seventh Embodiment 15 The object unit of the above-described sixth embodiment basically has a square shape. However, the four sides of the object unit can have arbitrary lengths as long as a dimension S matches the pitch of the parallel line filter or lenticular lens of a discrimination tool 2. More specifically, when an angle X of an 20 object 5a changes, as shown in Figs. 41(a) to 41(c), the vertical length of the object unit is given by v = S-sec(x), and the horizontal length is given by h = S-csc(x). For example, the angle X is 450 in Fig. 41(a). When the dimension S corresponding to the pitch of the lenticular lens is 195 tm, both 25 the vertical length V and the horizontal length h are 276 [tm. In Fig. 41(b), the angle X' is 350. When the dimension S corresponding to the pitch of the lenticular lens is 195 tm, the vertical length v' is 239 tm, and the horizontal length h' is 341 tm. In Fig. 41(c), the angle x" is 600. When the dimension S 30 corresponding to the pitch of the lenticular lens is 195 tm, the vertical length v" is 391 tm, and the horizontal length h" is 226 tm. Note that for object units C and D shown in Figs. 35(c) and 35(d), the horizontal length h doubles in Figs. 41(a) to 41(c) in accordance with the sixth to ninth embodiments. As 35 described above, changing the angle of the object 5a enables to arbitrarily adjust the vertical length of the object unit, that is, 52 the interval S of objects 4 arranged as horizontal parallel lines on a printed pattern 3 shown in Fig. 30. This also allows to adjust, as needed, an object width w of the objects 4 and the relationship in the visually recognized length between a low 5 object portion 4a and a high object portion 4b on the printed pattern 3, as shown in the perspective view of Fig. 33. It is therefore possible to ensure the optimum visibility of a first invisible image 8. Note that according to the sixth or seventh embodiment, 10 since a clear visible image having a quality design and a high degree of freedom can be formed using the objects 4, the technique is also useful for printed matters such as securities. In addition, the first invisible image 8 in the region formed by the high object portions 4b of the objects 4 appears as a visible 15 image upon observation from off-center. Furthermore, a second invisible image 6 formed by the objects 5a and pairs of objects 5b can easily and clearly be visualized by overlaying the discrimination tool 2 on the printed matter 1. (8) Eighth Embodiment 20 In the above-described sixth and seventh embodiments, the objects 4 include the low object portions 4a and the high object portions 4b in two height levels. The number of height levels of the objects 4 is not limited to two, and a myriad of continuous height levels may be set. Fig. 44 is a partial 25 perspective view conceptually showing the 3D structure of objects configured to add a first invisible image 8 and a second invisible image 6 featured in the eighth embodiment. As shown in Fig. 44, a printed pattern 3 is formed on a printed matter 1. The printed pattern 3 includes a plurality of objects 4 having an 30 equal object width w and arranged at an equal interval, and objects 5a to 5d whose object widths have a ratio of "2 : 1". The printed pattern also includes low object portions 4a, first high object portions 4b, and second high object portions 4c having different projection heights from the printing surface of 35 the printed matter 1. The relationship in the projection height between the first high object portions 4b and the second high 53 object portions 4c is given by first high object portion 4b < second high object portion 4c. Fig..45 is a plan view showing a state in which a printed matter 1 is observed right from above. The objects 4 include 5 the low object portions 4a and the first high object portions 4b to fifth high object portions 4f in different height levels. The low object portions 4a form the background pattern, whereas the first high object portions 4b to the fifth high object portions 4f having different heights form a region serving as the first 10 invisible image 8. The relationship in the projection height between the first high object portions 4b to the fifth high object portions 4f is given by first high object portion 4b < second high object portion 4c < third high object portion 4d < fourth high object portion 4e < fifth high object portion 4f. 15 When the observer observes the printed matter 1 at a visual angle 15 that is an arbitrary angle, the printed matter looks in different ways because of the heights of the low object portions 4a and the high object portions 4b, as shown in Fig. 32 described above. However, since the printed matter 1 20 according to the eighth embodiment has the low object portions 4a and the first high object portions 4b to the fifth high object portions 4f having different heights, a visually recognized length 3b shown in Fig. 32 looks longer in the fifth high object portions 4f than in the first high object portions 4b. That is, since the 25 visually recognized length 3b of the high object portion 4b looks longer than a visually recognized length 3a of the low object portion 4a in the printed pattern 3, the high object portions 4b are observed in a density higher than that of the low object portions 4a, as shown in the perspective view of Fig. 46. 30 Hence, in the region formed from the first high object portions 4b to the fifth high object portions 4f, the first invisible image 8 partially appears as a visible image having a shade upon observation from off-center. When the observer observes the printed matter at the smaller visual angle 15, the first invisible 35 image 8 completely appears as a visible image in the region formed from the first high object portions 4b to the fifth high 54 object portions 4f, as shown in Fig. 47. Note that in the eighth embodiment, the first high object portions 4b to the fifth high object portions 4f are formed in five height levels. However, the number of height levels is not 5 particularly limited. The first invisible image 8 can also be expressed like a continuous tone image by increasing the number of height levels. (9) Ninth Embodiment In the sixth to eighth embodiments, the first invisible 10 image and the second invisible image separately act in the objects 4 and the objects 5a to 5d. However, the first invisible image and the second invisible image may be included in the objects 4. Fig. 48 is a partial perspective view conceptually showing the 3D structure of objects configured to add a first 15 invisible image 8 and a second invisible image 6. As shown in Fig. 48, a printed pattern 3 is formed on a printed matter 1. The printed pattern 3 includes a plurality of objects 4 having an equal object width w1 and arranged at an equal interval. The objects 4 include low object portions 4a and high object 20 portions 4b that have different projection heights from the printing surface of the printed matter 1 so as to form the portion of the first invisible image, and object portions 10a and 10b that have an object width w2 and are arranged in contact with the objects 4 in a direction perpendicular to the 25 longitudinal direction of the objects 4 so as to form the portion of the second invisible image. Fig. 49 shows partially enlarged explanatory views of a basic object arrangement configured to visualize the second invisible image 6 via a discrimination tool 2. In the present 30 invention, the object units include two object units E and F shown in Figs. 49(a) and 49(b). In the object units E and F, the object portions 10a and 10b are formed in a desired arrangement. Lines Li and L2 run along the direction of the grooves of the discrimination tool 2 shown in Fig. 34. In Fig. 35 49, the angle is almost 900. The total length of the object units E and F equals the pitch of the grooves of the discrimination 55 tool 2. The object units E and F shown in Figs. 49(a) and 49(b) are arranged on the surface of the printed matter in accordance with desired rules. The object portions 10a and 10b in the object units E and F shown in Figs. 49(a) and 49(b) need not 5 always have the shapes shown in Fig. 49 and may have any other shapes. Fig. 50 is an explanatory view showing a positional relationship in which the object units E in Fig. 49(a) and the object units F in Fig. 49(b) are continuously periodically 10 arranged in a matrix on the printed pattern 3 of the printed matter tightly in the vertical and horizontal directions. Note that the bold solid lines in Fig. 50 simply indicate the portion of the second invisible image 6. Fig. 51 shows explanatory views of a state in which the 15 objects 4 include the low object portions 4a and the high object portions 4b. When the printed matter 1 is observed right from above, as shown in the plan view of Fig. 51(a), the observer does not recognize the projection heights of the low object portions 4a and the high object portions 4b. Actually, the low 20 object portions 4a and the high object portions 4b have different projection heights, as shown in the front view of Fig. 51(b). That is, the low object portions 4a form the background pattern, whereas the high object portions 4b form a region serving as the first invisible image 8. Hence, the first invisible 25 image 8 in the region formed by the high object portions 4b appears as a visible image upon observation from off-center, as in the sixth to eighth embodiments. Fig. 52 shows a state in which visual observation from the front is done while overlaying the discrimination tool 2 30 formed from a lenticular lens on the printed pattern 3 of the printed matter 1 so as to make the center line of each lens element coincide with a line L1. When each center line 7 of the lenticular lens exists at the position shown in Fig. 52(a) so as to coincide with the line L1 in Fig. 49(a), the object portions 10a 35 are located on the center lines 7. Since the object portions 10a located on the center lines 7 look magnified by the H:\dCnmerwCMVCIMKF DItL\DU\DE\6416239_ 1.UUC-12/06/2014 - 56 characteristics of the lenticular lens, a visible image having the positive graphic pattern shown in Fig. 52(b) is visualized upon visual observation. When each center line 7 of the lenticular lens coincides with a line L2 in Fig. 49(b), a visible image having the negative graphic pattern is visualized upon visual observation. That is, the 5 second invisible image 6 appears as a negative or positive visible image. The reference in this specification to any prior publication (or information derived from it), or to any matter which is known, is not, and should not be taken as an acknowledgment or admission or any form of suggestion that that prior publication (or information derived from it) or known matter forms part of the common general 10 knowledge in the field of endeavour to which this specification relates. The present application is a divisional application of Australian Patent Application No. 2009300622, the contents of the specification of which are incorporated herein by cross-reference. 15 DESCRIPTION OF THE REFERENCE NUMERALS 1 printed matter 2 discrimination tool 3 printed pattern 4 main line 20 4' object that forms hollow portion 4a low object portion 4b high object portion 4c high object portion 4d high object portion 25 4e high object portion 4f high object portion 5 sub-line 5a object 5b object 30 5c object 5d object 5a' hollow portion H:\dcrdlienvoven\NRPolbJDCC\DER\6416239 I.DOC-12106/2014 - 57 5b' hollow portion 5c' hollow portion 5d' hollow portion 6 invisible image 5 7 center line 8 invisible image 9 pattern 10a object portion 10b object portion 10 11 printed matter 12 printed pattern 13 object 13 object group 14 object group 15 15 visual angle A object unit B object unit C object unit D object unit 20 E object unit E' object unit F object unit F' object unit Li line 25 L2 line L3 line L4 line S dimension w object width 30 w1 object width w2 object width

Claims (11)

1. An anti-counterfeit printed matter characterized in that first object unit and second object unit that have the same area are 5 arranged in a matrix on a surface of a base material, the first object unit has a first object arranged to run in a first direction, and a second object arranged at a first position in a region where the first object does not exist, the second object unit has the first object arranged to run in the first 10 direction, and a third object arranged at a second position in the region where the first object does not exist, the first object has a first object portion having a first height from the surface of the base material and a second object portion having a second height different from the first height, thereby forming a first invisible image, and 15 a region where one of the first object unit and the second object unit is arranged forms an image portion of a second invisible image, whereas a region where the other is arranged forms a background portion of the second invisible image. 20

2. An anti-counterfeit printed matter according to claim 1, characterized in that the first invisible image is visually recognizable from a predetermined angle range different from 900 with respect to the base material, and the second invisible image is visually recognizable by enlarging the second object arranged at the first position in each of the plurality of first object unit or by 25 enlarging the third object arranged at the second position in each of the plurality of second object units.

3. An anti-counterfeit printed matter according to claim 1 or 2, characterized in that 30 when the second object unit is arranged on one side of the first object unit along the first direction, one of the second object in the first object unit and the third object in the second object unit is deleted, and a fourth object having an H:\dxl\lntroven\NRPortbl\DCC\DXL\7508734_I.docx-24/03/2015 - 59 object area ratio 1/2 or substantially 1/2 that of the second object and the third object is arranged substantially at a center of one of the first object unit and the second object unit in which the object has been deleted so as to relax density imbalance, and 5 when the second object unit is arranged on the other side of the first object unit along the first direction, the fourth object is arranged at a position corresponding to a boundary line between the first object unit and the second object unit. 10

4. An anti-counterfeit printed matter according to claim 3, characterized in that the first objects, the second objects, the third objects, and the fourth objects are formed in a plurality of object units, the plurality of object units include a first object unit, a second object unit, a third object unit, and a fourth object unit, 15 the first object unit and the second object unit have the same size, a size of the third object unit and the fourth object in the first direction is twice as large as that of the first object unit and the second object unit in the first object unit, the second object is arranged so as to pass through a center of the first object unit, in the second object unit, the third object in pair having a object area ratio 20 1/2 or substantially 1/2 that of the second object are arranged at equal intervals from a center of the second object unit so as to oppose each other, in the third object unit, the second object, the fourth object, and the third object having the object area ratio 1/2 or substantially 1/2 that of the second object are arrayed in the order named, and 25 in the fourth object unit, the third object having the object area ratio 1/2 or substantially 1/2 that of the second object, the fourth object, and the second object are arranged in the order named.

5. An anti-counterfeit printed matter according to claim 4, characterized in that 30 object units arranged adjacently on one side of the first object unit along the first direction are the first object unit and the third object unit, H:\dxl\lntroven\NRPortbl\DCC\DXL\7508734_I.docx-24/03/2015 - 60 object units arranged adjacently on the other side of the first object unit along the first direction are the first object unit and the fourth object unit, object units arranged adjacently on one side of the second object unit along the first direction are the second object unit and the fourth object unit, and 5 object units arranged adjacently on the other side of the second object unit along the first direction are the second object unit and the third object unit.

6. An anti-counterfeit printed matter according to any one of claims 1 to 5, characterized in that each of the second object, the third object, and the fourth 10 object is formed from a hollow portion.

7. An anti-counterfeit printed matter according to any one of claims 1 to 6, characterized in that a visible image is formed by arranging the first objects whose object area ratio per unit length at least partially varies. 15

8. An anti-counterfeit printed matter according to any one of claims 1 to 7, characterized in that the visible image is formed by arranging the first objects at least partially in relief. 20

9. An anti-counterfeit printed matter according to claim 3 or any one of claims 4 to 8 as dependent on claim 3, characterized in that each of the second object, the third object, and the fourth object is formed from one of a circle and a polygon.

10. An anti-counterfeit printed matter according to claim 3 or any one of claims 25 4 to 9 as dependent on claim 3, characterized in that the second object, the third object, and the fourth object are arranged to be adjacent to the first object.

11. An anti-counterfeit printed matter according to any one of claims 1 to 10, characterized in that the second object and the third object are arranged to be 30 integrated with the first object.