CN112669281B - Optimal ink layer thickness measuring method based on multiple lattice regression equation - Google Patents
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Abstract
The invention discloses an optimal ink layer thickness measuring method based on a multiple lattice regression equation, which comprises the following steps: step (1), transferring n target inks with different gram weights to a sample sheet with the same area; step (2): acquiring training thickness data; step (3): acquiring training color value data; step (4): a relationship between color value and ink layer thickness is established. The method provided by the invention calculates the thickness of any ink layer through the established association relation between the color value and the thickness of the ink layer. The method can be provided for a computer automatic ink distribution system, so that the method can effectively control a proofing ink layer in a color matching stage, enables the proofing ink layer to be consistent with the thickness of an original inking layer, and avoids the phenomenon of color shift generated when the ink distributed according to a formula is printed.
Description
Technical Field
The invention belongs to the technical field of printing, and particularly relates to an optimal ink layer thickness measuring method based on a multiple lattice regression equation.
Background
In the printing industry, many package coloring blocks are special spot colors, which cannot be obtained by overprinting yellow, products, cyan and black, and special spot inks are usually high in price, so that in order to reduce the cost, printing enterprises adopt the inks with relatively low price (such as yellow, products, cyan and black inks) to be mixed and blended. In order to improve the efficiency and stability of ink formulation and reduce the dependency of the operator on technology, some printing enterprises purchase a computer automatic color matching system. After the spot color of the target is measured by using a computer connected measuring device, the formula of the primary color ink of the blended target ink can be automatically calculated.
However, many printing enterprises find in the use of computer automated color matching systems: after the accurate color matching of a certain spot color ink is completed, the color printed on a printed matter may be different from the color of the ink on the original document; or after the accurate color matching of a certain spot color ink is completed, the formula can be recorded and the ink can be left as a sample. And reproducing the same order, wherein a color matching person can blend the ink according to the recorded formula, and the color printed by the blended ink deviates. The effect of the automatic color matching system of the computer is lower than that of manual matching, so that some printing enterprises still adopt a mode of manually matching ink even if buying the automatic color matching system of the computer. On the one hand, the method wastes resources of enterprises, reduces production efficiency, and on the other hand, prevents the digitization and intellectualization processes of printing enterprises.
This problem arises because: the current computer automatic ink-dispensing systems lack scientific, quantifiable ink layer measurement and control, i.e., they rely on a person to accurately control the thickness of the proofing ink layer and the target ink layer during the proofing operation of the dispensed ink. According to colorimetry theory, the color development of ink on a substrate (e.g., paper) is affected by the thickness of the ink layer. Therefore, in the color matching process, when the thickness of the ink layer on the test paper (i.e. the thickness of the ink layer when the color matching is performed) is different from the actual printing thickness, the color of the ink printed on the printed matter can shift even if the color of the matched ink proofing is consistent with the color of the ink on the original. In addition, the inking layer of the printed matter is very thin, and the ink part permeates into the paper, so that the thickness of the inking layer cannot be intuitively and accurately measured by using related equipment.
Disclosure of Invention
The invention aims to provide an optimal ink layer thickness measuring method based on a multiple lattice regression equation so as to solve the problems.
The technical scheme provided by the invention is as follows: an optimal ink layer thickness measuring method based on a multiple lattice regression equation comprises the following steps:
step (1), preparing n sample sheets with the same size, and adding n samples with different gram weights { M 1 ,…M n Transferring the target ink to the sample sheets respectively to form n sample sheets with different ink thicknesses;
step (2): calculating the thickness Y= [ Y ] of the inking layer of the sample sheet 1 ,…,y n ]As training thickness data; lab value X= [ X ] of the measurement sample 1 ,…,x n ]As training color value data;
step (3): training thickness data Y= [ Y ] obtained in step (2) 1 ,…,y n ]And training color value data x= [ X 1 ,…,x n ]And establishing and obtaining a relation curve between the color value and the ink layer thickness through a lattice regression equation:
wherein w is ij ∈[0,1]，{w ij } j＝1:m Is interpolation weight; in the lattice regression equation, one lattice of x consists of m nodes,ml refers to the number of nodes along the dimension l, each node comprising the input node +.>And output node->
Step (4): calculating the ink layer thickness of the target color lump ink on the print to be measured
Lab value x of a target color block of a printed matter is measured, and interpolation weight { w } of x is calculated ij } j＝1:m And b optimal valueAccording to the relation established in step (3)>The ink layer thickness of the target color lump ink on the print is calculated.
Further description as to the above scheme
In the step (2), the calculation method of the ink layer thickness in the training thickness data comprises the following steps: defining the transfer ink quality { M for each sample 1 ,…M n Known area and density of transferred ink, the corresponding ink layer thickness y= [ Y ] can be calculated 1 ,…,y n ]。
Further description as to the above scheme
In the step (2), the calculation formula of the ink layer thickness in the training thickness data is as follows:
wherein M is i Representing the amount of transferred ink; m is M i1 And M i2 Representing the ink quality before transferring and the ink quality after transferring of the color development instrument respectively; o represents the area transferred to the coupon; p represents the ink density.
Further description as to the above scheme
The method for calculating the density p of the ink comprises the following steps: using a metering device, 1ml of ink was extruded onto an analytical scale, through M c The density value is calculated by the formula pV, M c And V represents the weight and volume of 1ml of ink, respectively.
Further description as to the above scheme
The process of establishing the relation curve in the step (3) is as follows:
first, the relationship between the color value and the ink layer thickness is denoted as y i ＝f(x i )，x i Three-dimensional vector, x, formed for Lab value of ith sample i Belonging to the three-dimensional input space D and
then, from the input node { a } i M lattice points forming any one x are selected to form a super rectangular lattice in the input space D, which corresponds to 3 Xm matrix A= [ a ] 1 ,…,a m ]The method comprises the steps of carrying out a first treatment on the surface of the Output node { b } i The output grid is composed of a matrix b= [ B ] of 1×m 1 ,…,b m ]For any Lab value x of D, there is one 2 3 The hyper-rectangular grid of nodes contains x, whose interpolation relationship is:
wherein { w ij } j＝1:m Representing interpolation weights in the lattice points;
finally, calculate the interpolation weight { w } of each point ij } j＝1:m Each pair of y and x has the same weight in the respective lattice, the relationship curve y i ＝f(x i ) Can be converted intoWherein b= { b j } j＝1:m m×1 is the node value of the output lattice, and the optimal value +.>
Further description as to the above scheme
The calculated optimal valueThe regression optimization equation of (2) is:
。
the beneficial effects of the invention are as follows:
according to the optimal ink layer thickness measuring method based on the multiple lattice regression equation, the relation formula between the color value and the ink layer thickness is established by acquiring the training color value data and the training thickness data, and the ink layer thickness of the target color block ink is indirectly obtained by utilizing the measured color value.
Therefore, the measuring method does not directly measure the thickness of the ink layer, but calculates the thickness of any ink layer through the established association relation between the color value and the thickness of the ink layer. The method can be provided for a computer automatic ink distribution system, so that the method can effectively control a proofing ink layer in a color matching stage, enables the proofing ink layer to be consistent with the thickness of an original inking layer, and avoids the phenomenon of color shift generated when the ink distributed according to a formula is printed.
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The accompanying drawings are included to provide a further understanding of the invention and are incorporated in and constitute a part of this specification, illustrate the invention and together with the embodiments of the invention, serve to explain the invention. In the drawings:
FIG. 1 shows a lattice to which x belongs in an embodiment of the present invention.
Detailed Description
The invention will be further illustrated with reference to specific examples. These examples are only for illustrating the present invention and are not intended to limit the scope of the present invention.
The invention provides an optimal ink layer thickness measuring method based on a multiple lattice regression equation, which comprises the following steps:
step (1): n proofing papers with the same size (the area is O) are prepared, and n parts of proofing papers with different gram weights { M 1 ,…M n Transferring the target ink to n proofing papers with the same area O respectively to form n proofing papers with different ink thicknesses;
step (2): acquiring training thickness data
Calculating the inking layer of the n sample sheetsThickness y= [ Y ] 1 ,…,y n ]The method comprises the steps of carrying out a first treatment on the surface of the The thickness of the ink layer Y= [ Y ] 1 ,…,y n ]As training thickness data;
on the one hand, the calculation formula of the ink layer thickness in the training thickness data is as follows:
in the formula (1), M i Representing the amount of transferred ink; m is M i1 And M i2 Representing the ink quality before transferring and the ink quality after transferring of the color development instrument respectively; o represents the area transferred to the coupon; p represents the ink density; ink layer thickness y of ink on proof i Inversely proportional to the area O.
In the formula (1), the transfer ink amount M i The ink quantity before and after transfer of the color development instrument (namely M is weighed by an analytical balance i1 And M i2 ) Obtaining in a mode; the ink density p is calculated by: using a metering device, 1ml of ink was extruded onto an analytical scale, through M c =pv formula (M c And V represents the weight and volume of 1ml of ink, respectively) to calculate the density value;
on the other hand, based on the formula (1), the calculation method of the ink layer thickness in the training thickness data is as follows: defining the transfer ink quality { M for each sample 1 ,…M n Known as the area O and density p of the transferred ink, the corresponding ink layer thickness y= [ Y ] can be calculated from formula (1) 1 ,…,y n ]；
Step (3): acquiring training color value data
Measuring Lab values of n sample sheets under a field of view of 2 degrees under a D50 light source by using a colorimeter to obtain a group of Lab values X= [ X ] 1 ,…,x n ]，x i Three-dimensional vectors formed for Lab values of the ith sample, whereby each x i Belonging to a three-dimensional input space D, i.e. x i E D andacquired x= [ X 1 ,…,x n ]As training color value data;
step (4): establishing a relationship between color value and ink layer thickness
Training thickness data Y= [ Y ] obtained in step (2) 1 ,…,y n ]And training color value data x= [ X ] obtained in step (3) 1 ,…,x n ]Establishing a relation y between the color value (Lab value in the present embodiment) and the ink layer thickness by a lattice regression equation i ＝f(x i ) The specific method comprises the following steps:
first, in the lattice regression equation, one lattice of x consists of m nodes,ml refers to the number of nodes along the dimension l, each node comprising an input part +.>And output part->Further, the input node { a } i The method comprises the steps of (1) obtaining X= [ X ] 1 ,…,x n ]From these m lattices, which form any one of the future x, are selected to form a hyper-rectangular lattice in the input space D, corresponding to a 3×m matrix a= [ a ] 1 ,…a m ]The method comprises the steps of carrying out a first treatment on the surface of the Output node { b } i The output grid is composed of a matrix b= [ B ] of 1×m 1 ,…,b m ]For any Lab value x of D space, there is one 2 3 The hyper-rectangular lattice of nodes contains x, whose interpolation relationship is as follows:
(2) { w ij } j＝1:m Representing the weights of the interpolations in the lattice points, equation (2) can calculate the weight { w } of each point ij } j＝1:m 。
Second, the interpolation weight { w } is obtained by equation (2) ij } j＝1:m Since the weights of each pair of Y and X in the respective lattice are the same (i.e., the same { w } ij } j＝1:m ) Will be related to curve y i ＝f(x i ) Conversion toWherein, the output lattice node value b= { b of m×1 j } j＝1:m The method comprises the steps of carrying out a first treatment on the surface of the The optimal value of b can be calculated by the regression optimization equation of the following formula (3)>Wherein w is ij ∈[0,1]：
In this embodiment, as shown in FIG. 1, a lattice of x consists of 9 nodes { a } 1 ,…,a 9 Composition, see x first i In FIG. 1 { a } 1 ,…,a 9 Weights { w } in lattice ij } j＝1:m Under the same weight, the corresponding { b } in the target space can be obtained by using the regression optimization equation 1 ,…,b 9 A node, a target thickness value is obtained, thereby establishing { a } 1 ,…,a 9 Space of the lattice of the sub-lattice and { b } 1 ,…,b 9 Spatially opposite relationship of the sub-lattices. For any color value obtained by measurement, firstly judging in which a sub-lattice space the color value is, and obtaining weight { w } ij } j＝1:m Finding a b sub-lattice space for training and obtaining an application;
step (5): calculating the ink layer thickness of the target color lump ink on the print to be measured
Firstly, measuring Lab value x of a target color block of a printed matter under a D50 light source and a 2-degree view field by using a colorimeter;
then, using equation (2), an x interpolation weight { w } is obtained ij } j＝1:m The method comprises the steps of carrying out a first treatment on the surface of the Calculating the optimal value of b by using the formula (3)
Finally, according to the relation between the Lab value and the thickness value established in the step (4)The ink layer thickness of the target color lump ink on the print is calculated.
According to the optimal ink layer thickness measuring method based on the multiple lattice regression equation, through obtaining training color value data and training thickness data, a relation formula between the color value and the ink layer thickness is established, and the ink layer thickness of the target color block ink is indirectly obtained by utilizing the measured color value.
Therefore, the measuring method of the present embodiment does not directly measure the ink layer thickness, but calculates the thickness of any ink layer by establishing the correlation between the color value and the ink layer thickness. The method can be provided for a computer automatic ink distribution system, so that the method can effectively control a proofing ink layer in a color matching stage, enables the proofing ink layer to be consistent with the thickness of an original inking layer, and avoids the phenomenon of color shift generated when the ink distributed according to a formula is printed.
The present invention has been described in detail with reference to the foregoing embodiments, and it will be apparent to one skilled in the art that modifications may be made to the technical solutions described in the foregoing embodiments, or equivalents may be substituted for some of the technical features thereof. Any modification, equivalent replacement, improvement, etc. made within the spirit and principle of the present invention should be included in the protection scope of the present invention.
Claims (5)
1. The method for measuring the optimal ink layer thickness based on the multiple lattice regression equation is characterized by comprising the following steps of:
step (1), preparing n sample sheets with the same size, and adding n samples with different gram weights { M 1 ，…M n Transferring the target ink to the sample sheets respectively to form n sample sheets with different ink thicknesses;
step (2): calculating the thickness Y= [ Y ] of the inking layer of the sample sheet 1 ，…，y n ]As training thickness data; lab value X= [ X ] of the measurement sample 1 ，…，x n ]As training color value data;
step (3): training thickness data Y= [ Y ] obtained in step (2) 1 ，…，y n ]And training color value data x= [ X 1 ，…，x n ]And establishing and obtaining a relation curve between the color value and the ink layer thickness through a lattice regression equation:
wherein w is ij ∈[0，1]，{w ij } j＝1：m Is interpolation weight; in the lattice regression equation, one lattice of x consists of m nodes,m l means the number of nodes along the dimension l, each node comprising an input node +.>And output node->
The process of establishing the relation curve in the step (3) is as follows:
first, the relationship between the color value and the ink layer thickness is denoted as y i ＝f(x i )，x i Three-dimensional vector, x, formed for Lab value of ith sample i Belonging to the three-dimensional input space D and
then, from the input node { a } i M lattice points forming any one x are selected to form a super rectangular lattice in the input space D, which corresponds to 3 Xm matrix A= [ a ] 1 ，…，a m ]The method comprises the steps of carrying out a first treatment on the surface of the Output node { b } i The output grid is composed of a matrix b= [ B ] of 1×m 1 ，…，b m ]For any Lab value x of D, there is one 2 3 The hyper-rectangular grid of nodes contains x, whose interpolation relationship is:
wherein { w ij } j＝1：m Representing interpolation weights in the lattice points;
finally, calculate the interpolation weight { w } of each point ij } j＝1：m Each pair of y and x has the same weight in the respective lattice, the relationship curve y i ＝f(x i ) Can be converted intoWherein b= { b j } j＝1：m m×1 is the node value of the output lattice, and the optimal value +.>
Step (4): calculating the thickness of an ink layer of target color lump ink on a print to be measured;
lab value x of a target color block of a printed matter is measured, and interpolation weight { w } of x is calculated ij } j＝1：m And b optimal valueAccording to the relation established in step (3)>The ink layer thickness of the target color lump ink on the print is calculated.
2. The method for determining the optimal ink layer thickness based on the multiple lattice regression equation according to claim 1, wherein: in the step (2), the calculation method of the ink layer thickness in the training thickness data comprises the following steps: defining the transfer ink quality { M for each sample 1 ，…M n Known area and density of transferred ink, the corresponding ink layer thickness y= [ Y ] can be calculated 1 ，…，y n ]。
3. The method for determining the optimal ink layer thickness based on the multiple lattice regression equation according to claim 1, wherein: in the step (2), the calculation formula of the ink layer thickness in the training thickness data is as follows:
wherein M is i Representing the amount of transferred ink; m is M i1 And M i2 Representing the ink quality before transferring and the ink quality after transferring of the color development instrument respectively; o represents the area transferred to the coupon; p represents the ink density.
4. The optimal ink layer thickness determination method based on the multiple lattice regression equation according to claim 3, wherein: the method for calculating the density p of the ink comprises the following steps: using a metering device, 1ml of ink was extruded onto an analytical scale, through M c ＝p V Calculating density value by using formula M c And V represents the weight and volume of 1ml of ink, respectively.
5. The method for determining the optimal ink layer thickness based on the multiple lattice regression equation according to claim 1, wherein: the calculated optimal valueThe regression optimization equation of (2) is:
。
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| CN100999151A (en) * | 2006-01-12 | 2007-07-18 | 海德堡印刷机械股份公司 | Ink control based on model |
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| CN107650508A (en) * | 2017-08-19 | 2018-02-02 | 北京印刷学院 | A kind of machine vision method of offset printing process control |
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| CN110435314B (en) * | 2018-05-02 | 2021-03-12 | 海德堡印刷机械股份公司 | Simulation of layer thicknesses for CMY colors |
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| CN100999151A (en) * | 2006-01-12 | 2007-07-18 | 海德堡印刷机械股份公司 | Ink control based on model |
| CN101837675A (en) * | 2009-03-13 | 2010-09-22 | 海德堡印刷机械股份公司 | Be used for controlling the method for the inking of printing machine |
| CN107650508A (en) * | 2017-08-19 | 2018-02-02 | 北京印刷学院 | A kind of machine vision method of offset printing process control |
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