CN102360510A - Moire fringes moving image - Google Patents
Moire fringes moving image Download PDFInfo
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- CN102360510A CN102360510A CN2011102986558A CN201110298655A CN102360510A CN 102360510 A CN102360510 A CN 102360510A CN 2011102986558 A CN2011102986558 A CN 2011102986558A CN 201110298655 A CN201110298655 A CN 201110298655A CN 102360510 A CN102360510 A CN 102360510A
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- striped
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Abstract
The invention provides a Moire fringes moving image which is composed of a static picture and a moving picture. The moving picture is printed with a plurality of balanced strips, and 12 strips occupy 1 centimeter. The static picture is composed of a main frame graph and a moving graph. When making the moving graph, a picture sketch is drafted first to leave a space needs to generating a moving effect for preparation of pasting. On the space needs to generating the moving effect, straight strips and curved strips are pasted according to a requirement, space between the straight strips are equal or unequal, and the curved strips are drafted after numerical equation calculation. According to the invention, the static picture and the moving picture are cooperated, when the moving picture is slowly drawn, a part needs to move in the static picture shows a moving effect with strong visibility, lifelikeness and aesthetic feeling. A viewer is easy to understand, and teaching quality can be raised greatly.
Description
Technical field
The present invention relates to a kind of dynamic cartoon figure that has, specifically is that a kind of moire fringe is dynamically schemed.
Background technology
In teaching, need directly perceived, true to nature and dynamic senses, make understanding that the student can be more deep such as blood flow, heartbeat, the engine screw propeller rotates, and fan blade rotates, the turboshaft rotation, pneumatic quality jet pipe igniting and spray regime etc.Very important to improving the quality of teaching.But the teaching material that uses at present is all very simple, and picture is static, and students understand is got up difficult relatively.
Summary of the invention
The purpose of this invention is to provide a kind of moire fringe and dynamically scheme, can give the student with dynamic senses directly perceived, true to nature, to improve the quality of teaching.
The formation principle of moire fringe:
As everyone knows, human eye vision has certain error, two ten minutes near line regard as and overlap each other, " near " i.e. " overlapping ", the result that the not enough illusion that is produced of resolution characteristic of Here it is eye causes.Same reason; When the joining of gang's curve and another family's curve coincides; And the crossing angle of curve is spent less than 45, and then the new Curve Effect of gang can appear in each joining through virgin curve, appellation in optical theory " moire effect " (moire effect).According to this effect; No matter be straight line or curve, so long as that two lines coincide is crossing, and crossing angle is less than 45 degree; All can produce after the changing of the relative positions a kind of significantly, translational speed faster, light and dark thick black streaking, this striped is " moire fringe " (moirefringes).
Still figure and moving plate figure two parts are formed, and it is characterized in that:
Moving plate figure comprises transparent substrate and many stripe of on transparent substrate, printing;
The equidistant parallel printing of many stripe, and thickness is identical, and 12 every centimetre;
Still figure is made up of two parts, and wherein a part is for remaining static key frame figure, and another part is to cooperate with the moving plate figure of pulling to present dynamic dynamic figure;
Linear fringe and curve striped are arranged on above-mentioned dynamic figure; Linear fringe and curve striped should meet following condition:
1, the linear fringe spacing equates or is unequal;
2, the curve striped calculates the back drafting with math equation;
3, can import Computer Storage as the making of dynamically scheming, be convenient to cutting and paste use.
Dynamically scheme method for making:
1, static map parallel stripes
Striped is by its density degree numbering, and every centimetre length contains the n stripe, is called the n striped, and note is made n
#Contain 6 stripe as every centimetre, be called 6
#Striped.When the striped of moving plate and quiet figure is number identical, be called " jack per line striped "; The striped difference is called " contrary sign striped ".
1. move rule
When moving plate moved downwards, striped mobile had following rule: the changing of the relative positions of contrary sign striped superposition, and striped vertically moves: close is up, and rare is descending.(see figure 1).The changing of the relative positions of jack per line striped superposition, striped are laterally moved: a left side is left lateral tiltedly, right tiltedly right lateral (see figure 2).
2. density is restrained
The density I of striped refers to the number of moire effect striped in every centimetre length.The density m and the n of it and moving plate, quiet figure striped have following relation: contrary sign striped I=∣ m-n ∣; The main points of jack per line striped I=md (d representes the angle of moving plate and quiet figure striped in the formula) density rule can be summarized as follows: the jack per line striped is seen angle, and the number of seeing of contrary sign striped is poor.
3. rake ratio
When the demonstration rotating effect, often need coarse groove that the appropriate tilt degree is arranged.Use the contrary sign striped, can obtain gap tilt effect preferably.Its degree of tilt is obeyed following relational expression:
(in the formula, the angle of φ-coarse groove and horizontal direction, the degree that reaction is tilted.）
2, " quiet figure bar graph " curve striped: include circular striped (Fig. 3), radiation striped (Fig. 4) and spiral fringe (Fig. 5).
They have following two big characteristics: on the 1. same striped curve, the slope of difference differs from one another; 2. the shape of each stripe curve differs from one another on the same quiet figure, even fringe spacing is also variant.
Obviously, it is very difficult that such curve is drawn by hand, needs by means of computing machine, is drawn by its control autoplotter.Certainly, accomplish this point, at first must derive the math equation of various stripeds.Introduce all equations that we derive below:
1. spiral fringe equation
The application of this equation in aviation knowledge is dynamically schemed:
More than all simulations of two figure: fan blade rotates, the rotation of turboshaft, pneumatic vector spray portfire and spray regime
2. circular striped equation (the quiet figure equation of the circular striped of diffusion type)
Be the flicker of incandescent light and the delivering path of electric current in simulation middle and primary schools' physics and the nature knowledge textbook, circular striped equation (see figure 8) is adorned in the innervation utilization diffusion of optical flare
In the formula, k is the ratio of moire fringe spacing H and grating moving plate space D
The transmission of electric current is respectively: go up No. 14 stripeds of behavior and (contain 14 parallel and thicknesses, spacing in every centimetre
The striped that equates); No. 10 stripeds of following behavior.The motion of left and right direction be striped No. 12, the left lateral certain angle that then is tilted to the left, right lateral then is tilted to the right, its degree of tilt is obeyed following formula:
In the formula:
The quiet line figure number of M-number
The angle of
-moving plate striped and the quiet figure striped of striped
The density that the I-moire fringe is sparse
3. radial striped equation
Striped with the result of calculation of this equation is drawn is simulated the running (see figure 9) of fan blade, water pump
α is the angle of radial striped in the formula
4. vertical stripes equation
Striped with this Equation for Calculating result draws is simulated the circulation (see figure 10) of water in the primary school nature knowledge
South Korea unit once derived the math equation of live literary composition:
In the formula, H (x) is the ripple spacing, and it is the function of x.Ripple is moved to the left, and gets positive sign before the integration; Move right, get negative sign.
Example one is if the rotation of simulation Z-axis is desirable
Substitution above-mentioned equation, and integration is put in order:
In the formula, when A＞0, axle is turned right.When A＜0, axle turns left.The A value is big more, rotates fast more.
Example two, compressional wave is propagated in pipeline if simulation is hung down, and is desirable:
The above-mentioned equation of substitution, behind the integration:
The spacing of parabolical angle of the spacing of above-mentioned equation striped and curvilinear equation and sound line can be used following functional equation check.
The generation of dynamic effect:
1, contains 12 parallel lines striped plain films and be used as " moving plate " being printed on the filmbase every centimetre.Because of dynamic effect need be with showing after its pulling, so name " moving plate ".
2, paste the figure conduct " quiet figure " of the different motion direction of drawing with cutting.It is crucial that quiet figure designs and produces, and is inventive point.
3, " moving plate " is placed on " quiet figure ", at the uniform velocity slow drop-down moving plate, quiet figure will produce a kind of wave flow innervation or ripple diffusion, dwindle kinesthesia.
Three, dynamically scheme manufacturing process:
The making whether the effect quality of dynamic figure, lifelike image depend on " quiet figure " fully.
1, design and drawn rough sketch, reserving needs to produce the dynamically position of sense, in order to pasting.
2, designing and calculating is good " quiet figure " striped is imported in the computing machine in order to the cutting stickup, till " moving plate " detection dynamic effect satisfaction back.
3, in the bar graph highly difficult curvilinear motion to draw by hand be impossible accomplish, must use the math equation group of deriving out to import computing machine, be connected autoplotter and complete.Multiple " the quiet figure bar graph " of completing is stored in and is convenient in the computing machine take at any time as picture library.
The present invention is cooperated by moving plate figure and still figure, and figure slowly spurs when moving plate, needs the part of motion then to demonstrate innervation among the quiet figure, and intuitive is strong, and is true to nature, has aesthetic feeling, makes the people who watches be convenient to understand, and can increase substantially quality of instruction.
Description of drawings
Fig. 1 is the contrary sign striped superposition changing of the relative positions in dynamically scheming, and striped vertically moves: close is up, rare descending synoptic diagram.
Fig. 2 is the contrary sign striped superposition changing of the relative positions in dynamically scheming, and striped laterally moves: a left side is left lateral tiltedly, right oblique right lateral synoptic diagram.
Fig. 3 is the circular striped synoptic diagram of curve striped in dynamically scheming.
Fig. 4 is the radiation striped synoptic diagram of curve striped in dynamically scheming.
Fig. 5 is the spiral fringe synoptic diagram of curve striped in dynamically scheming.
Fig. 6 is the military turbine engine cut-open view of thrust-weight ratio 15=20.
Fig. 7 is the civilian engine structure cut-open view of superelevation bypass ratio.
Fig. 8 is the circular striped synoptic diagram of diffusion type in dynamically scheming.
Fig. 9 is a radial striped synoptic diagram in dynamically scheming.
Figure 10 is the recurrent state synoptic diagram of occurring in nature water in dynamically scheming.
Claims (2)
1. moire fringe dynamically schemes to be made up of still figure and moving plate figure two parts, it is characterized in that:
Moving plate figure comprises transparent substrate and many stripe of on transparent substrate, printing;
The equidistant parallel printing of many stripe, and thickness is identical, and 12 every centimetre;
Still figure is made up of two parts, and wherein a part is for remaining static key frame figure, and another part is to cooperate with the moving plate figure of pulling to present dynamic dynamic figure;
Linear fringe and curve striped are arranged on above-mentioned dynamic figure; Linear fringe and curve striped should meet following condition:
(1), the linear fringe spacing equates or is unequal;
(2), the curve striped calculates the back drafting with math equation;
(3), can import Computer Storage, being convenient to cutting pastes and uses as the dynamic making of figure.
2. moire fringe according to claim 1 is dynamically schemed, and it is characterized in that said dynamic figure method for making is:
(1), static map parallel stripes
Striped is by its density degree numbering, and every centimetre length contains the n stripe, is called the n striped, and note is made n
#,, be called " jack per line striped " when the striped of moving plate and quiet figure is number identical; The striped difference is called the contrary sign striped;
1. move rule
When moving plate moved downwards, striped mobile had following rule: the changing of the relative positions of contrary sign striped superposition, and striped vertically moves: close is up, and rare is descending; The changing of the relative positions of jack per line striped superposition, striped are laterally moved: a left side is left lateral tiltedly, right tiltedly right lateral;
2. density is restrained
The density I of striped refers to the number of moire effect striped in every centimetre length, and the density m and the n of it and moving plate, quiet figure striped have following relation: contrary sign striped I=∣ m-n ∣; Jack per line striped I=md, d representes the angle of moving plate and quiet figure striped in the formula, the main points of density rule can be summarized as follows: the jack per line striped is seen angle, and the number of seeing of contrary sign striped is poor;
3. rake ratio
When the demonstration rotating effect, often need coarse groove that the appropriate tilt degree is arranged, use the contrary sign striped, can obtain gap tilt effect preferably, its degree of tilt is obeyed following relational expression:
In the formula, the angle of φ-coarse groove and horizontal direction, the degree that reaction is tilted;
(2), the curve striped of quiet figure bar graph: include circular striped, radiation striped and spiral fringe;
1. spiral fringe equation
The application of this equation in aviation knowledge is dynamically schemed:
More than all simulations of two figure: fan blade rotates, the rotation of turboshaft, pneumatic vector spray portfire and spray regime;
2. circular striped equation
Be the flicker of incandescent light and the delivering path of electric current in simulation middle and primary schools' physics and the nature knowledge textbook, circular striped equation (see figure 8) is adorned in the innervation utilization diffusion of optical flare;
In the formula, k is the ratio of moire fringe spacing H and grating moving plate space D
The transmission of electric current is respectively: go up No. 14 stripeds of behavior, contain the striped that 14 parallel and thicknesses, spacing equate in being every centimetre; No. 10 stripeds of following behavior, the motion of left and right direction be striped No. 12, the left lateral certain angle that then is tilted to the left, right lateral then is tilted to the right, its degree of tilt is obeyed following formula:
In the formula:
The quiet line figure number of M-number
The angle of
-moving plate striped and the quiet figure striped of striped
The density that the I-moire fringe is sparse
3. radial striped equation
Use the striped simulation fan blade of the result of calculation drafting of this equation, the running of water pump
α is the angle of radial striped in the formula
4. vertical stripes equation
Circulation with water in the striped simulation primary school nature knowledge of this Equation for Calculating result drafting
South Korea unit once derived the math equation of live literary composition:
In the formula, H (x) is the ripple spacing, and it is the function of x;
Ripple is moved to the left, and gets before the integration
Positive sign; Move right, get negative sign;
5., dynamically scheme manufacturing process:
Design has also been drawn rough sketch, and reserving needs to produce the dynamically position of sense, in order to pasting;
Paste in order to cutting in the quiet figure striped input computing machine that designing and calculating is good, detect dynamic effect with moving plate
Till the satisfied back;
To draw by hand be impossible accomplish in highly difficult curvilinear motion in the bar graph, must use the math equation group of deriving out to import computing machine, be connected autoplotter and complete.
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| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN2011102986558A CN102360510A (en) | 2011-09-29 | 2011-09-29 | Moire fringes moving image |
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|---|---|---|---|
| CN2011102986558A CN102360510A (en) | 2011-09-29 | 2011-09-29 | Moire fringes moving image |
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Citations (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN2248369Y (en) * | 1995-11-15 | 1997-02-26 | 长春意达光电仪器厂 | Ripple pictures dynamic projecting machine |
| CN1146407A (en) * | 1996-06-04 | 1997-04-02 | 幸健华 | Cartoon picture with moving sensibility |
| US20020125435A1 (en) * | 2001-01-19 | 2002-09-12 | Cofer Darren D. | Method and apparatus for detecting objects |
-
2011
- 2011-09-29 CN CN2011102986558A patent/CN102360510A/en active Pending
Patent Citations (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN2248369Y (en) * | 1995-11-15 | 1997-02-26 | 长春意达光电仪器厂 | Ripple pictures dynamic projecting machine |
| CN1146407A (en) * | 1996-06-04 | 1997-04-02 | 幸健华 | Cartoon picture with moving sensibility |
| US20020125435A1 (en) * | 2001-01-19 | 2002-09-12 | Cofer Darren D. | Method and apparatus for detecting objects |
Non-Patent Citations (1)
| Title |
|---|
| 王晓利,等.: "图案可控动态莫尔全息图", 《光学技术》, vol. 28, no. 5, 30 September 2002 (2002-09-30), pages 427 - 428 * |
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Application publication date: 20120222 |