JP2003085580A - Method of making image for solid expression, computer graphics system for slid expression and program for solid expression - Google Patents

Abstract

PROBLEM TO BE SOLVED: To provide a new 3DCG which expresses the surface shape of a solid by a plurality of straight lines and curved lines with same picture linear width by means of a linear picture. SOLUTION: This method of making image for solid expression comprises the step of inputting modeling data consisting of three-dimensional spatial coordinates, the step of rendering for obtaining a raster data by setting prescribed sample point group set on two-dimensional coordinates of an X-axis and an Y-axis on the X-axis, and Y-axis and an Z-axis which shows three- dimensional spatial coordinates and Z value which is set the value of the Z-axis of the modeling data in every sample point of the sample point group according to a quantization condition in a prescribed stage, and the step of generating a linear picture solid figure which consists of plurality of straight lines and curved lines with sample picture width by using the Z value as a variation quantity on the basis of the raster data.

Description

Detailed Description of the Invention

[0001]

BACKGROUND OF THE INVENTION 1. Field of the Invention The present invention relates to a method of creating a stereoscopic image suitable for preventing counterfeiting of banknotes, stock certificates, bonds, and other securities, and a computer graphics system for stereoscopic expression. The present invention relates to a recording medium recording a program for three-dimensional expression.

[0002]

2. Description of the Related Art Today, an image called 3D computer graphics (hereinafter referred to as 3DCG) is a three-dimensional spatial coordinate created on a computer memory: X-axis (horizontal axis), Y-axis (vertical axis), Z-axis ( This is an image obtained by rendering modeling data represented by a height axis) to raster data by rendering from a position where a viewpoint is determined by computer processing. Further, in order to recognize modeling data as a solid in an image obtained by rendering, it is common to obtain a natural stereoscopic effect from the shading of the object surface created by simultaneously performing shading (shading) processing. . The main fields of application of 3DCG include still images of buildings and moving images such as movies, and the three-dimensional shape can be made to be understood in detail even for an object that actually exists or a virtual object that does not exist. Due to these advantages, 3DCG plays an important role in today's image representation.

Of the three-dimensional representation methods, a topographic map is also a typical example showing a three-dimensional space efficiently on a two-dimensional image. In the case of a topographic map, a two-dimensional image is generally recognized as a three-dimensional object by changing the color display between a low position in the back and a high position in the front toward the viewer. For example, to display a flat land in green or a mountain peak in brown. A method called Z-axis rendering is generally applied to draw a topographic map by 3DCG. What is Z-axis rendering? JP-A-6-208629
As described in the publication, using color data and Z data,
Provided is a method and system for graphically displaying a three-dimensional image on a display device in a computer graphics system including a plurality of pixels arranged in rows and columns, each pixel having a color associated with it. The system combines instructions in the rendering system to determine Z data associated with each pixel and the Z data with color data associated with each pixel to form a plurality of modified color values for those pixels. Computer graphics, including instructions and
System. Display the pixels using the colors assigned from the color table to form a three-dimensional image or two-dimensional representation of the topographic map, where the pixel color indicates the object color as well as other parameters such as height and temperature. There is.

However, conventionally, it is only the grayscale or hue division of the image obtained by rendering that gives the three-dimensional effect of the object, and 3DCG often becomes a photographic gradation image, and a line drawing expression is obtained. Was rarely done.

A drawing method called a wire frame model is known as a method of expressing a line drawing with 3DCG.
In the case of the wire frame model, most of them are line drawings of modeling data. That is, the wire frame model is an image in which three-dimensional coordinates are connected by a solid line having a uniform thickness, and although the approximate shape of the three-dimensional object can be understood, the surface shape of the three-dimensional object cannot be recognized.

[0006] In addition to 3DCG, a typical technique for displaying a three-dimensional object by a line drawing is a line drawing relief pattern that has been used as a pattern for securities. In securities, a line drawing relief pattern based on a line drawing expression is often used on the face of a ticket in order to provide an anti-counterfeiting effect. Regarding this line drawing relief pattern, in the past, relief was created with sculpting clay or hand engraving, and this is called a stylus-type relief engraving machine, which scans traces in the X direction and the stylus at that time. By converting the vertical movement in the Z direction into a variation in the Y direction, the original relief was reproduced as a line drawing relief pattern on the two-dimensional plane as a displacement of the straight line group. Such an engraving or engraving method by engraving or engraving has a problem in that manufacturing cost and time are required because an extremely skilled worker or craftsman performs the work manually.
Further, since the relief engraving machine is a mechanical scanning system, there is a limitation that the line drawing pattern for expressing the relief shape is limited to the straight lines.

In order to solve the problem by manual work, a line drawing relief pattern drawing method by computer processing has been proposed today. As a known rudimentary algorithm by computer processing, for example, JP-A-5-12
As disclosed in Japanese Patent No. 0450, a binary image composed of a pattern area and a background area is prepared in the form of raster data or contour line data in a computer, and reference lines are set on the binary image at predetermined intervals. Then, define them so that they are parallel to each other, predetermine the inclination angle and peak points as parameters that affect the stereoscopic effect of the line drawing relief pattern, and create a line based on the reference line. There is a method of making it so that it is bent at the boundary between the background portion and the pattern portion of the binary image. Further, as disclosed in Japanese Patent Laid-Open No. 5-158207, a gradation image composed of a set of pixels in which any one of density values 0 to 255 is defined is prepared in a computer, and predetermined intervals are set on this image. Define a plurality of reference lines parallel to each other, binarize the input gradation image, extract the contour line that fits the image, and extract the pixels on the reference line based on the contour line, There is a method in which pixels are divided into pixels and pixels in the external area, and displacement points are defined at the scale positions of the density values of the pixels in the internal area, and a line is created based on the reference line. Furthermore, JP-A-5-158208
JP-A-5-158209, JP-A5-1
As disclosed in Japanese Patent No. 58210, a line drawing relief pattern having a line drawing as a motif is prepared as digital data in a computer, and a plurality of reference lines are defined on this line drawing. A method has been proposed in which the lines are created so that the lines are bent in the vicinity where they intersect with the line drawing that becomes the motif, or by replacing the reference line with a bypass line in the vicinity where they intersect. However, in the computer processing method using such an algorithm, the transport line group is limited to a straight line or a limited curve like the mechanical method, and there is a problem that the relief pattern can draw only a simple rising curve.

Further, recently, a technique for generating a line drawing of a geometric function curve by computer processing has advanced, and a technique for creating a line drawing relief pattern can also be applied to a complicated geometric function curve line drawing of a color pattern. Has become. As a result, in addition to the gazette, there are those implemented as computer software. For example, Barco Graphics (Belgium) has already commercialized and sold software having a function for generating a line drawing relief pattern. But,
As shown in FIG. 2, the line drawing relief pattern that can be drawn by the internal processing of this software is larger than the size b of the boundary line at the rising edge of the line d of the line drawing relief pattern at the boundary line of the binary image A or the contour line data. Outside distance c
In addition to the above, the relief line image d can be controlled only by the relief line rising angle, circularity, etc., but a free geometric curve can be used for the transport line group, but in the relief pattern Has the problem that it can only draw a simple rising curve.

As a method for solving the above problem, when it is desired to create a line drawing relief pattern having a complicated shape, a gradation image of raster data consisting of a set of pixels defined by density values 0 to 255 called a template. It can be realized by using. A line drawing relief pattern generation method using such a template is a method of converting a density value into relief height information from a gradation image formed of a set of pixels in which any one of density values 0 to 255 is defined. Is. However, even in the method using the template, for example, in the relief template creation software of Yura (Hungary), in order to make the binary image A shown in FIG. 2 a line drawing relief pattern as a motif picture, the template A shown in FIG. , The boundary shape of the connected component of the binary image is converted into a grayscale image and the rising shape of the relief is controlled by four types of expansion processing. Therefore, in this case also, the line drawing relief shown in FIG. Like the pattern b3, the line drawing relief pattern is generated from the outside of the boundary line. Therefore, there is a problem that not only a template for creating a three-dimensional line drawing relief pattern having a fine and complicated contour line cannot be obtained, but also the line is flat and no intonation even after the line drawing relief pattern is formed.

Therefore, it has been desired to develop a stereoscopic image for producing an object having a rich stereoscopic effect by a line drawing, a method for producing the image, and an apparatus for producing the image.

[0011]

As described above, the conventional 3
In DCG, an image obtained by rendering in order to give a stereoscopic effect to an object is a photographic gradation image expressed only by shading or hue. The present invention has been made in view of the above circumstances, and an object thereof is to provide a new 3DCG that expresses a three-dimensional surface shape by a plurality of straight lines and curves having the same drawing line width.

[0012]

According to the present invention, a plurality of straight lines and curves having the same drawing line width are formed on a two-dimensional coordinate based on a three-dimensional surface shape obtained from modeling data consisting of three-dimensional spatial coordinates. This is a method for creating a stereoscopic image.

According to the present invention, the step of inputting modeling data composed of three-dimensional space coordinates and the X-axis, Y-axis and Z-axis indicating the three-dimensional space coordinates are set on the two-dimensional coordinates of the X-axis and the Y-axis. A predetermined sampling point group; a rendering step of obtaining raster data by setting the z value of the Z axis of the modeling data set for each sampling point of the sampling point group by a quantization condition of a predetermined step; And a line drawing generating step for generating a line drawing solid figure composed of a plurality of straight lines and curves having the same drawing line width based on the raster data by using the z value as a change amount. Is the way.

The present invention is the method for producing an image for stereoscopic expression, further comprising the step of converting the raster data obtained by the rendering step into a grayscale image data format.

The present invention further includes the step of processing and editing the z value in the raster data obtained in the rendering step or the conversion data obtained in the conversion into the grayscale image data format using a predetermined function. The method for creating an image for stereoscopic expression is characterized by having.

According to the present invention, in the step of processing and editing, the z value in the raster data or the gray scale image data is linearly converted by using a monovalent function. Is the way.

According to the present invention, in the processing and editing step, a histogram of z values of the raster data or the grayscale image data is created, and z values are non-linearly converted on the histogram. This is a method of creating an image for expression.

According to the present invention, in the step of processing and editing, the z value of the raster data or the grayscale image data is locally averaged using a spatial filter table. It is a creation method.

According to the present invention, in the step of processing and editing, the z value of the raster data or the gray scale image data is subjected to edge enhancement processing by using a spatial filter table. This is a method of creating an image.

According to the present invention, in the step of processing and editing, the z value of the raster data or the gray scale image data is subjected to a process of smoothly approximating the z value of adjacent sample points by using a spatial filter table. The method for producing an image for stereoscopic expression is characterized by:

The present invention is the method of creating an image for stereoscopic expression, characterized in that, in the step of processing and editing, the z value of the raster data or the grayscale image data is multiplied by a random coefficient.

According to the present invention, in the step of processing and editing, the z values of the raster data or the grayscale image data are averaged in sample point areas at regular intervals, and thus the three-dimensional representation. This is a method of creating a business image.

According to the present invention, in the line drawing generating step, a line drawing solid figure composed of a plurality of straight lines and curves having the same drawing line width, the shape of which changes with the z value as a change amount, represents X and Y which the change amounts show. The method for creating a stereoscopic image is characterized in that the line drawing stereoscopic figure is rearranged in a predetermined direction, and a region where the line drawing stereoscopic figure is changed by the change amount of the z value is masked or white painted.

According to the present invention, the raster data obtained in the rendering step, the conversion data obtained in the step of converting into the image data format, the processed and edited data obtained in the step of processing and editing, or the plurality of lines obtained in the line drawing generating step. The method for producing an image for stereoscopic expression, further comprising a step of confirming stereoscopic data calibration for displaying and outputting a line drawing stereoscopic figure composed of a straight line and a curved line having the same image line width by using a display monitor or a printer. .

According to the present invention, means for inputting modeling data consisting of three-dimensional space coordinates and X indicating the three-dimensional space coordinates.
A predetermined sampling point group set on the two-dimensional coordinates of the X axis and the Y axis in the axes, the Y axis, and the Z axis, and the Z axis value of the modeling data for each sampling point of the sampling point group in predetermined steps. Rendering means for obtaining the raster data set by the z value determined by the quantization condition of z, and the z based on the raster data.
A computer graphics system, comprising: a line drawing generation unit that changes a plurality of straight lines and curves having the same drawing line width to generate a line drawing.

The present invention is the computer graphics system, further comprising means for converting the raster data obtained by the rendering means into a grayscale image data format.

According to the present invention, the z of the raster data obtained by the rendering means or the conversion data obtained by the means for converting into the grayscale image data format is described.
The computer graphics system further comprises means for processing and editing the value using a predetermined function.

According to the present invention, in the processing and editing means, the z value of the raster data or the grayscale image data is linearly converted by using a monovalent function. System.

The present invention is characterized in that, in the processing and editing means, a histogram of the z value of the raster data or the grayscale image data is created, and the z value is nonlinearly converted on the histogram. The computer graphics system.

According to the present invention, in the means for processing and editing, the raster data or the grayscale image data is subjected to local averaging by using a spatial filter table for the z value. This is a method of creating an image.

The present invention is characterized in that, in the processing / editing means, the raster data or the grayscale image data is subjected to a process of emphasizing an edge by using a spatial filter table for the z value. It is a computer graphics system.

According to the present invention, in the processing and editing means, the sampling resolution is interpolated to an arbitrary sampling point group set on the two-dimensional coordinates of the X axis and the Y axis in the raster data or the grayscale image data. The computer graphics system is characterized by making a correction.

The present invention is the computer graphics system, wherein, in the processing and editing means, the z value of the raster data or the grayscale image data is multiplied by a random coefficient.

According to the present invention, in the processing / editing means, the z values of the raster data or the grayscale image data are averaged in sample point regions at regular intervals. It is a graphics system.

According to the present invention, in the line drawing generating step, a line drawing solid figure composed of a plurality of straight lines and curves having the same drawing line width, the shape of which changes with the z value as a change amount, represents X, Y which the change amounts show. The computer graphics system is characterized in that the line drawing solid figure is rearranged in a predetermined direction and a mask or white paint is applied to a region in which the line drawing solid figure is changed by the change amount of the z value.

According to the present invention, the raster data obtained by the rendering means, the conversion data obtained by the means for converting into the image data format, the processed and edited data obtained by the means for processing and editing, or the plurality of lines obtained by the line drawing generating means. The computer graphics system, further comprising: three-dimensional data calibration confirmation means for displaying and outputting a line drawing three-dimensional figure composed of a straight line and a curved line having the same image line width by using a display monitor or a printer.

In the present invention, the data type of the modeling data is selected for the means for inputting the modeling data, the sampling resolution of the raster data is set for the rendering means, and the integer value range is set for each sampling point. For the line drawing generating means, the number of straight lines and curves having the same drawing line width, the length, the position, the drawing line width, the color, the setting of the change amount,
The conversion output means selects a file format for converting the raster data, the processing / editing means sets a set value for correcting the z value of the raster data or the converted data, and the calibration confirmation means sets a line drawing solid figure. And a parameter setting means for setting a predetermined set value in the selection of the converted data or the selection of the processed data.

The present invention is a computer-readable recording medium in which a program for implementing any one of the above methods is recorded.

[0039]

BEST MODE FOR CARRYING OUT THE INVENTION Embodiments of the present invention will be described below with reference to the drawings.

As shown in FIG. 1, the computer graphics system for stereoscopic expression of the present invention has modeling data input means 1, Z-axis rendering means 2, line drawing generation means 3, conversion output means 4 and processing. The editing means 5, the calibration confirmation means 6, and the parameter setting means 7 are provided.

(Modeling data input means 1) In order to represent a three-dimensional object by computer processing, modeling data having three-dimensional spatial coordinates is created by using an object expression system such as a polygon modeler or B-spline Bezier, and Z-axis is created. Input to the rendering means 2. For example,
The modeling data P1 as shown in the schematic diagram of FIG. 5 created using the polygon modeler is input. As long as the modeling data P1 can be processed by a computer, the object representation method of the three-dimensional object and the file format of the modeling data are not limited.
The modeling data P1 may be created using commercially available 3DCG software.

(Z-axis rendering means 2) Next, Z-axis rendering is performed on the Z-axis in the spatial coordinates of the modeling data P1. The Z-axis rendering is to render the modeling data P1 on the raster data P2 of FIG. 7 based on the Z-axis value of FIG. 5 and the 256-step quantization condition of 0 to 255 as shown in FIG. First, in the present embodiment, when rendering the modeling data P1,
The notation of integer values shown in FIG. 6 is used as the quantization condition of 256 steps. In the notation of the integer value α, the integer value “255” is set when the Z-axis value is “0”, and the integer value “0” is set when the Z-axis value is the maximum value “max”. Further, in the notation of the integer value β, the integer value “0” is set when the Z-axis value is “0”, and the integer value “255” is set when the Z-axis value is the maximum value “max”. In the present invention, the notation of the integer value β is used. Since the integer value may be adjusted to the convenience of the process of the next step, in the actual use, either of the integer value α and the integer value β may be used.

Rendering refers to drawing raster data based on three-dimensional shape setting data. That is, in the raster data P2 of FIG. 7, for example, 1000 × 1000 sampling points are set on the X-axis and Y-axis as the sampling resolution of the raster data, and the Z-axis value of the modeling data P1 is set to 256 for each sampling point by Z-axis rendering. The integer value of the step is set. Raster data P2 is 2 represented by x and y
It is three-dimensional data belonging to the sampling resolution by the dimensional coordinates and the integer value expressed in 256 steps. As a result, three-dimensional data having a resolution of 100,000 sample values can be obtained. For example, modeling data P
The spatial coordinate Z0 of 1 is the sample point Z0 ′ of the raster data P2.
Are represented as x = 500, y = 950, and z = 0, and the spatial coordinate Zmidole of the modeling data P1 is x = 500, y for the sample point Zmidole ′ of the raster data P2.
= 500, z = 120, and the spatial coordinate Zmax of the modeling data P1 is expressed as x = 500, y = 650, z = 255 at the sample point Zmax ′ of the raster data P2.

Therefore, in order to achieve a detailed and complicated three-dimensional shape, a high sampling resolution of the raster data P2 is required in addition to the density of the modeling data P1. The Z-axis rendering method is not particularly limited here, and a method such as that disclosed in Japanese Patent Laid-Open No. 6-208629 may be used.

(Line drawing generating means 3) Next, based on the raster data P2 which has been rendered, the modeling data P1 is generated.
A method of displaying a three-dimensional shape included in a line drawing will be described. For example, as shown in FIG. 8, if the sample point group P2 'is arranged side by side on the raster data P2, the raster data P2 is three-dimensional data.
Stores integer values of x value, y value, and z value, respectively. Therefore, the basic line B1 is set at the same position as the sample point group P2 ′, and the z value (the numerical value underlined in FIG. 8) is set to the basic line B1.
The line drawing L1 is drawn as the amount of change in the arbitrary coordinate directions on the x-axis and the y-axis. In addition, it is desirable to create a smooth line drawing by using a Bezier curve, a spline curve, or the like as a line drawing to be drawn.

That is, when a line drawing is drawn by the method shown in FIG.
As shown in FIG. 9, the basic line direction is the x-axis direction, and the basic line B2 intersecting the sample point Zmidole 'on the raster data P2 is generated in a shape like the line drawing L2, and the sample point Zma is generated.
The basic line B3 intersecting with x'is generated in a shape like a line drawing L3, and the basic line B4 intersecting with the sample point Z0 'is generated in a shape like a line drawing L4.

However, the most important point in recognizing the three-dimensional shape is the position of the viewpoint with respect to the three-dimensional object. Therefore, FIG.
As shown in, the angle θ of the line of sight S with respect to the modeling data P1 is 10 degrees, and the maximum length z1 of the Z axis is 25.
If mm, the definition of the trigonometric function (tanA = a /
It can be calculated from b) that the maximum change amount x2 is 4.4 mm. Further, the maximum length y1 of the modeling data P1 on the Y-axis is 80 mm, and when stereoscopic display of the modeling data P1 and the actual size is performed, the z value is set to the maximum variation y2 of the raster data P2 of FIG. It is applied as the amount of change in the y-axis direction. Since the maximum change amount y2 is 4.4 mm, the z value 2 of the sample point Zmax 'on the raster data P2 is 2
In order for 55 to be the maximum change amount of 4.4 mm,
A constant 0.017 (ie y2 / 2) for the z values of all sample points
55 = 0.017. ).

Next, as described above, the raster data P of FIG.
The z values of all 2 sample points are multiplied by a constant 0.017, and
11 is obtained by arranging a set of line drawings each having a vertical pitch of 0.625 mm and 160 horizontal basic lines so as to cover almost all the raster data P2 of FIG. It is possible to display the line drawing solid figure P3 that is formed by a plurality of straight lines and curved lines having the same drawing line width and that expresses an object with a rich stereoscopic effect. However, in recognizing the three-dimensional shape, it is not always necessary to satisfy the strict three-dimensional space as the modeling data, and at least the change amount in the y-axis direction is a natural three-dimensional shape as long as the relationship of y2 ≦ z1 is satisfied. Can be recognized.

Further, in FIG. 11, since the line drawing solid figure P3 is changed downward with respect to the horizontal basic line, it can be recognized as a downward face, but when it is changed upward with respect to the horizontal basic line, it looks like an upward face. Can be recognized by.

Further, as shown in FIG. 12, when the basic line direction is the y-axis direction, the z-value is set as the amount of change in the x-axis direction. become. In other words, the numerical value indicating the amount of change is the y-axis observation angle in the above description, but it is desirable to change the observation angle in the x-direction when the basic line direction is the y-axis direction.

Further, in order to more clearly express the three-dimensional shape by a plurality of straight lines and curved lines having the same drawing line width as in this embodiment, the aggregate pattern of the line drawings generated from the line drawing generating means 3 is previously densely packed. It is desirable to keep it.

Further, in the line drawing generating means 3, it is desirable to perform hidden line removal so that the three-dimensional shape can be clearly recognized from the line drawing three-dimensional figure. Hidden line removal will be described in detail in Example 1 below.

The line drawing generating means 3 is a spline curve,
The device is not limited as long as it is a CG device that can be drawn by a general-purpose line drawing expression method such as a Bezier curve.
For example, by using the raster data P2 obtained in the present invention as a template with the line drawing generation software of Barco Graphics (Belgium) or Yura (Hungary), the image for stereoscopic expression in the present embodiment can be created. it can.

(Conversion output means 4) As shown in FIG. 1, if necessary, the raster data P2 of FIG. 9 described above is converted into various file formats such as PICT, TIFF, E.
The conversion data P4 is converted into a general-purpose conversion data P4 such as PS. As a result, commercially available software that controls the curve shape of a line drawing based on data in a general-purpose format can be easily applied to the line drawing generating means 3. For example, by using the conversion data P4 obtained in the present invention as a template by the line drawing generation software of Barco Graphics (Belgium) or Yura (Hungary), the image for stereoscopic expression in the present embodiment can be created. it can.

(Processing / editing means 5) The processing / editing means 5 is shown in FIG.
As shown in FIG. 6, the raster data P2 or the conversion data P4 is processed and edited as necessary to create the processed data P5. For example, a z-value histogram can be created from the number of sample points of the converted data P4, and the z-value can be corrected on the histogram. Further, for example, interpolation correction of the sampling resolution and a product sum calculation such as local averaging or edge detection can be performed using a spatial filter table for the z value. Thereby, the sense of depth, roughness, and
Various expressions such as smoothness can be produced.

For example, FIG. 13 shows an image display of the processed data P5a which has been processed and edited by the processing / editing means 5 into the raster data P2 or the conversion data P4. The processed data P5a is created by multiplying only the z value of the face portion in the raster data P2 or the conversion data P4 by a random coefficient. Next, FIG. 14 shows a line drawing obtained by creating a line drawing solid figure P3a with the same parameter setting as the line drawing solid figure P3 by the line drawing generating means 3 based on the processed data P5a. In the face portion of the processed data P5a, the z value for each sample point is changed by being multiplied by a random coefficient, so that the face portion of the line drawing solid figure P3a can be provided with a grainy texture.

Further, for example, an image display of processed data P5b created by performing averaging (mosaic processing) of z values in sample point regions at constant intervals in the X and Y directions in the raster data P2 or the conversion data P4 is shown. Shown in 15. Next, FIG. 16 shows a line drawing solid figure P3b created by the line drawing generating means 3 based on the processed data P5b with the same parameter setting as the line drawing solid figure P3. Processing data P
Since the z-values are averaged for the sample point regions at constant intervals of 5b, the obtained line drawing solid figure P3b has a stepped height.

Further, for example, in the raster data P2 or the conversion data P4, z is set in the sample point area of the face portion at a constant interval.
FIG. 17 shows an image display of the processed data P5c created by averaging the values and giving a random coefficient to the z value of the background portion. Next, this processed data P5c
FIG. 18 shows a line drawing solid figure P3c created by the line drawing generating means 3 with the same parameter setting as that of the line drawing solid figure P3. In the line drawing solid figure P3c, the face value of the processed data P5c has the z values averaged over the sample point regions at regular intervals, so that a stepwise height can be obtained, and the background part has a random z value. The texture of the grain is brought about because it is changed minutely.

Further, for example, in the raster data P2 or the conversion data P4, the z values are averaged in the sample point areas at regular intervals in the left half of the face, and the z value of the right half of the face is created.
Processing data P5d created by giving a random coefficient to the value
FIG. 19 shows what is displayed as an image. Next, FIG. 20 shows a line drawing solid figure P3d created by the line drawing generating means 3 based on the processed data P5d with the same parameter settings as the line drawing solid figure P3. The line drawing solid figure P3d is
Since the z value of the left half of the processed data P5d is averaged with respect to the sample point regions at regular intervals, a stepped height can be obtained, and the right half of the face has a random coefficient z.
The value is changed slightly, resulting in a grainy texture.

The processing for processing and editing by the processing and editing means 5 is not limited to the above example.

(Calibration Confirmation Means 6) The calibration confirmation means 6 can display and output the line drawing solid figure P3, the conversion data P4, or the processed data P5 as necessary using a display monitor or a printer.

(Parameter Setting Means 7) The parameter setting means 7 is means for setting appropriate parameters for each means in order to realize the stereoscopic expression of the present invention. For the parameters of the modeling data input means 1, the data type of the modeling data P1 is selected. With respect to the Z-axis rendering means 2, the sampling resolution of the raster data P2 and the integer value range for each sample point are set. For the line drawing generating means 3, the number of straight lines and curves having the same drawing line width,
In addition to setting basic line drawing components such as length, position, drawing line width, and color, a change amount y1 is set. Regarding the conversion output means 4, various file formats for converting the raster data P2 are selected. With respect to the processing / editing means 5, setting values for correcting the z value of the raster data P2 or the conversion data P4 are set. The calibration confirmation means 6 selects the line drawing solid figure P3, the conversion data P4, or the processed data P5.

(Recording Medium Recording Line Drawing Relief Pattern Creating Program) In the three-dimensional expression method of the present invention, the processing procedure is recorded as a computer program in a recording medium,
It can be realized by executing using a computer. Specifically, first, the recording medium in which the program is recorded is read by the reading device of the computer. For example, in the computer 8 having the configuration shown in FIG.
A floppy (registered trademark) disk 11, a CD-ROM 12, or a magnetic tape 13 on which a program is recorded is attached to a floppy disk drive 9, an optical disk drive 10,
Alternatively, it is read by the tape reproducing device 14 and installed in the hard disk in the computer 8. Then, it is transferred to the main memory in the computer 8 and sequentially executed by the CPU. Here, the recording medium may be any computer-readable medium,
For example, magnetic disks such as hard disks, magnetic tapes,
Floppy disk, hard disk, optical disk (C
D-ROM, CD-R, DVD, etc., magneto-optical disk (MO, etc.), card memory, semiconductor memory (flash memory, etc.), etc. may be used. Further, the recording medium is not limited to a disk or memory capable of statically holding the program,
A communication medium 15 capable of transferring the program is also included. Furthermore, based on the instructions of the program installed in the computer from the recording medium, the OS (operating system) running on the computer,
MW (middleware) such as database management software and network management software may execute a part of the processing to implement the method according to the present invention. The language for writing the program is not limited, and C language, C ++, COBOL, PL / 1, Sma, which are used as general-purpose languages, are used.
It may be described using any language such as lltalk. It is possible to realize the creation of the line drawing relief pattern in a short time by the computer that reads the recording medium recording the above program.

Further, a program describing the line drawing relief pattern creating method of the present invention is recorded on a computer-readable recording medium using a language for describing existing image processing software, and the recording medium is used for the existing image processing software. The image is read by a computer equipped with the
It may be operated as n).

(Embodiment 1) Next, the features of the image for stereoscopic expression of the present invention will be described with an example of more complicated modeling data.

FIG. 22 shows modeling data P1a in which a three-dimensional shape of an imaginary animal "Shisa" is created using B-splines. Rendering using shading processing results in raster data P4a shown in FIG. The raster data P4a can be created by the conversion output means 4, and the three-dimensional shape can be confirmed by the calibration confirmation means 6. However, the shading processing method is not limited in any way.

In the method for creating an image for stereoscopic expression of the present embodiment, the raster data P2a having 1000 × 1000 sample points on the X-axis and the Y-axis shown in FIG. The means 5 enables linear conversion of the z value of the raster data P2a. Therefore, the raster data P2a is processed by the processing / editing means 5 as shown in FIG.
The z-value was linearly converted using the monovalent function shown in FIG. As a result, the range of the z value 16 of the raster data P2a is changed to the z value 17 compressed from the high range of "128" to "255", and the processed data P5e shown in FIG. 26 is obtained.
In the processed data P5e, 127 or less of the z values of the raster data P2a is 0, so that the rear portion 18 of the “Shisa” is
Is provided with az value of "0"

Next, the line drawing three-dimensional figure P3 having an arbitrary maximum change amount in the y direction shown in FIG. 27 by the line drawing generating means 3 only in the portion selected by the region 19 of the processed data P5e.
e was created. The line drawing solid figure P3e is a "shisa" by the processing / editing means 5 in the processing data P5e.
Since the data of the rear part 18 is set to "0", it is a line drawing solid figure only in the front part.

Further, hidden line elimination is performed in order to make the three-dimensional shape of the line drawing three-dimensional figure Q5 easier to see. A feature of the hidden line erasing method of the present invention is that the order of hidden lines is determined by the order of the line drawings generated by the line drawing generating means 3. For example, as shown in FIG. 28, when a line drawing is generated by giving a downward change amount y ′ from a sample point z ′ to the horizontal basic line, rearrangement is performed so that the horizontal basic line is ranked from the top. .
Also, the amount of change y ′ upward from the sample point z ′ with respect to the horizontal basic line
When a line drawing is generated by giving, the rearrangement is performed so that the order of the horizontal basic lines is from the bottom. That is, the rearrangement is performed in a predetermined direction on the X and Y coordinates that the change amount produces.
As shown in FIG. 29, the fourth or fifth line drawing is changed into a line drawing of the lower order by applying a mask or white paint to the area M changed with respect to the horizontal basic line as shown in FIG. You can erase hidden lines.

When hidden line elimination is applied to the line drawing solid figure P3e in FIG. 27, the solid figure can be recognized without the line drawings overlapping as shown in P3f in FIG.

(Second Embodiment) Next, an example in which the z value of the raster data P2 or the converted data P4 is processed by the processing / editing means 5 will be described.

The processing / editing means 5 can perform not only the processing / editing of raster data but also the maximum processing on the processed data. For example, for the processed data P5e, the spatial frequency component can be converted by using an arbitrary spatial filter table. The spatial filter table shown in FIG. 31 is a spatial filter table generally called a high-frequency emphasis filter or a Laplacian method edge detection filter. Using this spatial filter table, the processed data P
As a result of reprocessing 5e, it is possible to obtain processed data P5f in which the z value is converted as shown in FIG. The matrix of the spatial filter table shown in FIG. 31 is shown by 5 × 5 sample points, but the number of sample points is not limited. Further, as a result of creating a line drawing solid figure having an arbitrary maximum change amount in the y direction with respect to the processed data P5f by using the line drawing generating means 3, the height of the contour of the solid figure as shown in FIG. 33 is increased. A line drawing solid figure P3i that gives an impression can be obtained. Incidentally, the hidden line erasing described above is also performed.

The spatial filter table shown in FIG. 34 is also called a Gaussian smoothing filter. As a result of reprocessing the processed data P5e using this spatial filter table, it is possible to obtain the processed data P5h with the z value converted as shown in FIG. The matrix of the spatial filter table shown in FIG. 34 is shown by 5 × 5 sample points, but the number of sample points is not limited. Furthermore, as a result of creating a line drawing solid figure having an arbitrary maximum change amount in the y direction with respect to the processed data P5h by using the line drawing generating means 3, the z values of the adjacent sample points are smoothly approximated, and therefore FIG. A line drawing solid figure P3k that gives a soft impression without corners as shown can be obtained. Incidentally, the hidden line erasing described above is also performed.

Next, as shown in FIG. 37, the processed data P
By creating a histogram (a) of the z value of 5e and converting the z value of "0" to "255" of the histogram (a) like the histogram (a), the processed data as shown in FIG. P5g can be obtained. Further, as a result of creating a line drawing solid figure having an arbitrary maximum change amount in the y direction as shown in FIG. 33 with respect to the processed data P5f using the line drawing generating means 3, the height in front of the solid figure is emphasized. It is possible to obtain such a line drawing solid figure P3j.
The hidden line elimination described above is also performed here.

(Third Embodiment) Next, an embodiment in which the line drawing generating means 3 enables a more three-dimensional expression based on the raster data P2b shown in FIG. 40 which has been rendered will be described.

First, as shown in FIG. 40, the basic line direction is the x-axis direction, and the sampling point Zmi on the raster data P2b.
The basic line B2 ′ intersecting with “dole” is generated in the shape of the line drawing L2 ′, and the basic line B3 ′ intersecting with the sample point Zmax ″.
Is generated in a shape like a line drawing L3 ′, and a basic line B4 ′ intersecting with the sample point Z0 ″ is generated in a shape like a line drawing L4 ′.

In the present embodiment, the line drawing generating means 3 can manually set the z values of all the sample points at arbitrary angles (directions) by an arbitrary amount by the parameter setting means 7. . For example, if the angle θ'is 30 degrees,
When the variation x3 is 20 mm, the raster data P2b
The z value 255 of the upper sampling point Zmax "is 20 which is the maximum change amount.
In order to obtain mm, the z values of all sample points are multiplied by a constant 0.078 (that is, x3 / 255 = 0.078).

Next, as described above, the z values of all the sampling points of the raster data P2 of FIG. 40 are multiplied by a constant 0.078, and for example, the vertical pitch is 0 so that the entire raster data P2b of FIG. 40 is almost covered. A set pattern of line drawings consisting of 160 horizontal horizontal lines of 625 mm is arranged, and the line drawing is drawn by the changing method shown in FIG. As a result, it is possible to display the line drawing solid figure P3e that is formed by a plurality of straight lines and curved lines having the same drawing line width as shown in FIG.

Further, in order to obtain a more natural three-dimensional effect, the line drawing generating means 3 can deform the drawn image of the line drawing as necessary for the line drawing three-dimensional figure P3e. For example, P3h shown in FIG. 42 is the line drawing solid figure P3g shown in FIG.
Parameter setting means 7 has an angle θ ″ with an angle of 7 degrees.
In the figure, the state is set by the operator and is deformed. As a result, it is possible to display the line drawing solid figure P3h that expresses a natural and rich three-dimensional object.

In this embodiment, the line drawing generating means 3 sets the angle θ ′, the angle θ ″, and the variation amount x3 manually by the parameter setting means 7. However, these are calculated as three-dimensional space coordinates. It may be calculated by

According to the present invention, in the conventional 3DCG, the stereoscopic effect of the object is a photographic gradation image only by the shade or hue of the image obtained by the rendering. It is possible to provide a new 3DCG that expresses a three-dimensional surface shape by a plurality of straight lines and curves having the same line width by line drawings.

[0081]

[Brief description of drawings]

FIG. 1 is a block diagram showing a computer graphics system for stereoscopic representation according to the present invention.

FIG. 2 is an explanatory diagram showing the rise of an image line of a line image relief pattern at a boundary line of a binary image A or contour line data in a conventional technique.

FIG. 3 is an explanatory diagram showing a template for controlling a relief rising shape from a boundary line between connected components of a binary image according to a conventional technique.

FIG. 4 is an explanatory view showing a line drawing relief pattern generated from the outside of the boundary line in the conventional technique.

FIG. 5 is an explanatory diagram showing modeling data according to the embodiment of the present invention.

FIG. 6 is an explanatory view showing a quantization condition of 256 levels of 0 to 255 of the Z-axis value of modeling data according to the same embodiment.

FIG. 7 is an explanatory diagram showing creation of raster data by Z-axis rendering on modeling data according to the embodiment.

FIG. 8 is an explanatory diagram showing a method of displaying a three-dimensional shape included in modeling data as a line drawing based on raster data that has been rendered according to the embodiment.

FIG. 9 is an explanatory diagram showing a shape of a basic line that intersects with sample points of raster data according to the same embodiment.

FIG. 10 is an explanatory diagram showing the maximum change amount in the y-axis direction from the angle θ of the line of sight with respect to the modeling data according to the embodiment, by definition of a trigonometric function.

FIG. 11 is an explanatory view showing a line drawing solid figure of an object expression having a rich stereoscopic effect, which is formed by a plurality of straight lines and curves having the same drawing line width according to the embodiment.

FIG. 12 is an explanatory view showing a line drawing solid figure of a rich three-dimensional object expression formed by a plurality of straight lines and curves having the same drawing line width when the basic line direction is the y-axis direction according to the embodiment. Fig.

FIG. 13 is an explanatory diagram showing processed data in which a random coefficient is given only to az value of a face portion by the processing / editing unit according to the embodiment.

FIG. 14 shows a line drawing solid figure of an object expression having a grainy texture formed by a plurality of straight lines and curves having the same drawing line width when the basic line direction is the y-axis direction according to the embodiment. Explanatory drawing.

FIG. 15 is an explanatory diagram showing processed data obtained by averaging z values for sample point regions at constant intervals by the processing / editing unit according to the embodiment.

FIG. 16 shows a line drawing solid figure of an object expression having a stepped height formed by a plurality of straight lines and curves having the same drawing line width when the basic line direction is the y-axis direction according to the embodiment. Explanatory drawing.

FIG. 17 shows processed data obtained by averaging z-values of sample point areas at regular intervals of the face portion by the processing / editing means according to the embodiment and giving a random coefficient only to the z-values of the background portion. Explanatory drawing.

FIG. 18 is a view showing a stepwise height in the face portion and a grain in the background portion, which are formed by a plurality of straight lines and curved lines having the same drawing line width when the basic line direction is the y-axis direction according to the embodiment. Explanatory drawing showing a line drawing solid figure of an object expression with a texture.

FIG. 19 is a diagram showing an example in which, according to the embodiment, a random coefficient is given only to z values in the right half of the face and the z values are averaged with respect to sample point regions at regular intervals in the left half of the face by the processing and editing means. Explanatory drawing which showed the processed data.

FIG. 20 is a diagram showing a plurality of straight lines and curved lines having the same drawing width when the basic line direction is the y-axis direction according to the embodiment, and has a stepwise height in the right half of the face and the left side of the face; Explanatory drawing which showed the line drawing solid figure of the object expression with a half-grained texture.

FIG. 21 is an explanatory diagram of a recording medium having a computer program recorded thereon for realizing the graphic data changing method according to the embodiment.

FIG. 22 is an explanatory view showing modeling data created by using a B-spline for a three-dimensional shape of an imaginary animal “Shisa” according to the embodiment.

FIG. 23 is an explanatory diagram showing raster data rendered by using shading processing according to the embodiment.

FIG. 24 is an explanatory diagram showing raster data rendered by using Z-axis rendering processing according to the embodiment.

FIG. 25 is an explanatory view showing a monovalent function of z-value linear conversion according to the embodiment.

FIG. 26 shows that the range of z value is “128” according to the embodiment.
Explanatory drawing showing the raster data compressed to the high frequency range from 1 to 255.

FIG. 27 is an explanatory view showing a line drawing solid figure having an arbitrary maximum change amount in the y direction created by the line drawing generating means according to the embodiment.

FIG. 28 is a rearrangement in which the horizontal basic lines are ranked from the top when a line drawing is generated by giving a downward change amount y ′ from the sample point z ′ to the horizontal basic lines according to the embodiment. The explanatory view shown.

FIG. 29 is an explanatory view showing hidden line erasing of a line drawing of a lower rank by masking or whitening the region M changed with respect to the horizontal basic line according to the embodiment.

FIG. 30 is an explanatory view showing a line drawing solid figure in which hidden line removal has been performed according to the embodiment.

FIG. 31 is an explanatory diagram showing a spatial filter table also called an edge detection filter of the Laplacian method according to the same embodiment.

FIG. 32 is an explanatory diagram showing processed data in which z values are converted using the spatial filter table according to the same embodiment.

FIG. 33 is a diagram showing a case where y is obtained by using the line drawing generating means according to the embodiment.
Explanatory drawing which showed the line drawing solid figure which created the line drawing solid figure which has the arbitrary maximum amount of changes of direction, and gave the impression which height of the outline of the solid figure increased.

FIG. 34 is an explanatory view showing a spatial filter table also called a Gaussian smoothing filter according to the embodiment.

FIG. 35 is an explanatory diagram showing processed data in which z values are converted using the spatial filter table according to the same embodiment.

FIG. 36 is a diagram illustrating a case where y is obtained by using the line drawing generating means according to the embodiment.
Explanatory drawing which created the line drawing solid figure which has the arbitrary maximum amount of changes of a direction, and showed the line drawing solid figure which gives a soft impression without a corner.

FIG. 37 is an explanatory view showing conversion of a histogram of z values of processed data according to the embodiment.

FIG. 38 is an explanatory diagram showing processed data obtained by converting a histogram of z values of processed data according to the embodiment.

FIG. 39 is an explanatory diagram showing a line drawing solid figure in which a line drawing solid figure having an arbitrary maximum change amount in the y direction is created according to the embodiment and a height in front of the solid figure is emphasized.

FIG. 40 is an explanatory diagram showing raster data rendered by using the Z-axis rendering process according to the embodiment.

FIG. 41 is an explanatory diagram showing a line drawing solid figure created by an arbitrary change amount at an arbitrary angle (direction) according to the embodiment.

FIG. 42 is an explanatory view showing a line drawing solid figure in which the line drawing generating means modifies the drawn image of the line drawing according to the embodiment.

[Explanation of symbols]

1 Modeling data input means 2 Rendering means 3 Line drawing generation means 4 conversion output means 5 Processing and editing means 6 Calibration confirmation means 7 Parameter setting means 8 computers 9 floppy disk drive 10 Optical disc drive 11 floppy disks 12 CD-ROM 14 Tape playback device 15 Communication medium 16 z value 17 z value 18 rear part 19 areas A binary image B1 basic line B2 basic line B3 basic line b3 line drawing relief pattern B4 basic line c distance d stroke L1 line drawing L2 line drawing L3 line drawing L4 line drawing M area P1 modeling data P1a modeling data P2 raster data P2 sample point cloud P2a raster data P2b raster data P3 line drawing solid figure P3a Line drawing solid figure P3b Line drawing solid figure P3c line drawing solid figure P3d line drawing solid figure P3e Line drawing solid figure P3g line drawing solid figure P3h line drawing solid figure P3i line drawing solid figure P3j Line drawing solid figure P3k line drawing solid figure P4 conversion data P4a raster data P5 processing data P5a processing data P5b processing data P5c processing data P5d processing data P5e processing data P5f processing data P5g processing data P5h processing data Q5 Line drawing solid figure S line of sight X-dimensional space coordinates x2 maximum change x3 change amount y amount of change y1 maximum length y1 change amount y2 maximum change z'sample points y'change amount Z0 space coordinates Z0 ”sample points z1 maximum length Zmax space coordinates Zmax ”sample points Zmidole space coordinates Zmidole ”sample points α integer value β integer value θ angle θ ”angle

Claims (27)

[Claims] 1. A stereoscopic expression characterized by forming a plurality of straight lines and curves having the same line width on a two-dimensional coordinate based on a three-dimensional surface shape obtained from modeling data consisting of three-dimensional spatial coordinates. How to create an image. 2. A step of inputting modeling data composed of three-dimensional space coordinates and an X-axis, Y indicating the three-dimensional space coordinates.
A predetermined sample point group set on the two-dimensional coordinates of the X axis and the Y axis on the axes Z and Z, and the value of the Z axis of the modeling data for each sample point of the sample point group is quantized in a predetermined step. A rendering step of setting the z value determined by the condition to obtain raster data, and generating a line drawing solid figure composed of a plurality of straight lines and curves having the same drawing line width based on the raster data with the z value as a change amount. The method for creating an image for stereoscopic expression according to claim 1, further comprising a line drawing generating step. 3. The method for creating an image for stereoscopic representation according to claim 2, further comprising the step of converting the raster data obtained by the rendering step into a grayscale image data format. 4. The z in the raster data obtained by the rendering step or in the converted data obtained by the step of converting to the grayscale image data format.
The method for creating an image for stereoscopic expression according to claim 2 or 3, further comprising a step of processing and editing the value using a predetermined function. 5. The image for stereoscopic expression according to claim 4, wherein, in the step of processing and editing, the z value in the raster data or the grayscale image data is linearly converted by using a monovalent function. How to create. 6. The z of the raster data or the grayscale image data in the processing and editing step.
The method for creating an image for stereoscopic expression according to claim 4, wherein a histogram of values is created, and z values are non-linearly transformed on the histogram. 7. The z of the raster data or the grayscale image data in the processing and editing step.
The method for producing an image for stereoscopic expression according to claim 4, wherein the values are locally averaged using a spatial filter table. 8. The z of the raster data or the grayscale image data in the processing and editing step.
The method for creating an image for stereoscopic expression according to claim 4, wherein a process of emphasizing an edge is performed using a spatial filter table for the value. 9. The z of the raster data or the grayscale image data in the processing and editing step.
Using the spatial filter table for the values, z of adjacent sample points
The method for creating an image for stereoscopic expression according to claim 4, characterized in that processing for approximating the values smoothly is performed. 10. The method of creating an image for stereoscopic expression according to claim 5, wherein, in the step of processing and editing, the z value of the raster data or the grayscale image data is multiplied by a random coefficient. 11. The method according to claim 4, wherein in the step of processing and editing, the z values of the raster data or the grayscale image data are averaged in sample point regions at regular intervals. How to create a stereoscopic image. 12. In the line drawing generating step, a line drawing solid figure composed of a plurality of straight lines and curves having the same drawing line width and changing in shape with the z value as a change amount is displayed on the X and Y coordinates represented by the change amount. 12. The rearrangement is carried out in a predetermined direction, and a mask or white paint is applied to a region in which the line drawing solid figure is changed by the change amount of the z value.
How to create the described stereoscopic image. 13. Raster data obtained in the rendering step, converted data obtained in the step of converting into an image data format, modified data obtained in the step of processing and editing, or a plurality of identical lines obtained in the line drawing generating step. A line drawing solid figure consisting of straight lines and curves with a line width,
13. The method for creating an image for stereoscopic expression according to claim 2, further comprising a step of confirming correction of stereoscopic data for display output using a display monitor or a printer. 14. A means for inputting modeling data composed of three-dimensional space coordinates, and an X-axis, Y indicating the three-dimensional space coordinates.
In the axes Z and Z, a predetermined sample point group set on the two-dimensional coordinates of the X axis and the Y axis, and the Z axis value of the modeling data is quantized in predetermined steps for each sample point of the sample point group. Rendering means for obtaining raster data set with a z value determined by conditions, and a line drawing for generating a line drawing by changing a plurality of straight lines and curves having the same drawing width according to the change of the z value based on the raster data. A computer graphics system having a generating means. 15. The computer graphics system according to claim 14, further comprising means for converting the raster data obtained by the rendering means into a grayscale image data format. 16. Further comprising means for processing and editing the z value of the raster data obtained by the rendering means or the converted data obtained by the means for converting into the grayscale image data format using a predetermined function. The computer according to claim 14 or 15, characterized in that
Graphics system. 17. The raster data or the grayscale image data, in the processing and editing means,
17. The computer graphics according to claim 16, wherein the z value is linearly transformed by using a monovalent function.
system. 18. The processing and editing means creates a histogram of the z values of the raster data or the grayscale image data, and nonlinearly converts the z values on the histogram. 17
The described computer graphics system. 19. The means for processing and editing the raster data or the grayscale image data,
The method of creating an image for stereoscopic expression according to claim 16, wherein the z value is locally averaged using a spatial filter table. 20. The raster data or the grayscale image data, in the processing and editing means,
17. The computer graphics system according to claim 16, wherein the z value is processed by using a spatial filter table to emphasize edges. 21. In the processing and editing means, interpolation correction of sampling resolution is performed on an arbitrary sample point group set on two-dimensional coordinates of X axis and Y axis in the raster data or the grayscale image data. The computer graphics system of claim 16, wherein the computer graphics system comprises: 22. In the processing and editing means, z of the raster data or the grayscale image data.
The computer graphics system of claim 16, wherein the value is multiplied by a random coefficient. 23. The processing / editing means averages the z values of the raster data or the grayscale image data in sample point regions at regular intervals. Computer·
Graphics system. 24. In the line drawing generating step, a line drawing solid figure composed of a plurality of straight lines and curves having the same drawing line width, whose shape changes with the z value as a change amount, is displayed on the X and Y coordinates represented by the change amount. 3. The line drawing solid figure is rearranged in a predetermined direction, and a mask or white paint is applied to a region where the line drawing solid figure is changed by the change amount of the z value.
3. The computer graphics system described in 3. 25. Raster data obtained by rendering means, conversion data obtained by means for converting to image data format, processed / edited data obtained by means for processing / editing, or a plurality of identical lines obtained by line drawing generating means A line drawing solid figure consisting of straight lines and curves with a line width,
25. The computer graphics system according to claim 14, further comprising stereoscopic data calibration confirmation means for displaying and outputting using a display monitor or a printer. 26. A data type of modeling data is selected for a means for inputting the modeling data, a sampling resolution of raster data is set for the rendering means, an integer value range is set for each sample point, and the line drawing is generated. For the means, setting of the number, length, position, line width, color and change amount of a plurality of straight lines and curves having the same line width, for the conversion output means, selection of a file format for converting raster data, For the processing / editing means, setting of a set value for correcting the z value of the raster data or the converted data, and for the calibration confirmation means, a predetermined set value for selection of a line drawing solid figure, conversion data, or processing data. A computer graphics system comprising a parameter setting means for setting the. 27. A program for realizing the method according to any one of claims 1 to 13.