JP2003228724A - Program, data storing medium, and game device - Google Patents

Abstract

<P>PROBLEM TO BE SOLVED: To express the distant view in a virtual space more realistically and more easily. <P>SOLUTION: A location away from a viewing point 100 by a distance DG toward the horizon is defined to be the position on the horizon. The overall height LB of the side section 114 of a dome 110 is determined so that the junction between the top section 112 and the side section 114 is positioned on a straight line 120 connecting the position on the horizon and the viewing point 100, with the dome 110 arranged in a virtual space for the viewing point 100 to be positioned on the central axis of the dome 110. Coloring from the horizon to the sky overhead is determined by the top section 112 and ground surface coloring from the horizon to the end 104 of the drawing range 102 is determined by the side section 114. <P>COPYRIGHT: (C)2003,JPO

Description

Detailed Description of the Invention

[0001]

The present invention relates to a computer,
The present invention relates to a program or the like for generating an image of a virtual space viewed from a given viewpoint and executing a given game.

[0002]

2. Description of the Related Art Conventionally, various games (hereinafter referred to as 3D games) using a three-dimensional virtual space have been developed. In this 3D game, generally, each object or character is defined by a model in which a plurality of planes called polygons are combined. While the game is being executed, the positions of the objects and characters are changed according to the player's input instruction and the game scenario, and
The position and orientation of the viewpoint are determined for each frame, and the range visible from the viewpoint is drawn to generate the game image.

The main features of 3D games (or
The common point is to improve the sense of presence by expressing the virtual space more realistically, and to encourage the player to immerse himself in the game. Generally, if the number of polygons forming an object is increased, the shape can be expressed in more detail, and a more realistic image can be generated. However, in a 3D game, since it is necessary to generate an image in real time in response to player input, there is a limit to the time that can be spent in the image generation processing, and the number of polygons cannot be increased without limit. Therefore, in many cases, the number of polygons is reduced to the extent that the reality of the game image is not impaired. For example, instead of drawing all the objects existing in the visual line direction of the viewpoint, only the objects existing within a certain distance from the viewpoint may be drawn.

However, if the setting is made such that the range away from the viewpoint is not drawn, the ground surface far from the drawing range may suddenly appear to be interrupted when the ground surface is looked down from a high position. Conventionally, in such a case, a method has been adopted in which the vicinity of the end of the drawing range is blurred and expressed so that it looks like the horizon.

[0005]

However, when the position cut out behind the terrain according to the drawing range is treated as the horizon as in the conventional case, the position of the horizon displayed on the screen is not predicted as the horizon. You will feel closer to the viewpoint than the position. In other words, there is a risk that the earth will appear unnaturally small. Alternatively, by seeing the horizon close, the position of the viewpoint was felt higher than necessary, and it was difficult to grasp the positional relationship in the virtual space. Further, in a scene such as sunrise or sunset, the horizon position remarkably moves as the altitude of the viewpoint changes, whereas the sun display position does not change. For this reason, for example, at the same time as the altitude of the viewpoint increased, the sun seemed to rise, which made us feel uncomfortable.

The present invention has been made in view of the above matters, and an object thereof is to more easily and realistically represent a distant view environment.

[0007]

In order to solve the above-mentioned problems, the invention according to claim 1 generates a virtual game image including a background viewed from a given viewpoint on a computer and executes a given game. Of the background color information included in the image, the color information on a line parallel to the horizontal direction in the virtual space is made uniform, and a program for executing the program is provided. Alternatively, the computer is caused to function as a first means for changing the color information on the line by changing the viewpoint position.

According to a fifth aspect of the present invention, there is provided a game device which generates an image of a virtual space including a background viewed from a given viewpoint and executes a given game, and is included in the image. Among the color information of the background, the color information on the line parallel to the horizontal direction in the virtual space is made uniform, and the line-of-sight direction and / or the position of the given viewpoint is changed, whereby the color information on the line is changed. It is characterized by comprising a first means for changing.

According to the first or fifth aspect of the present invention, it is possible to represent the color on the substantially horizontal line in the virtual space by the same color in the generated image.
Therefore, when determining the color on one horizontal line in the virtual space, it is sufficient to calculate the color for one point on that line, and the image generation speed can be further increased.

The following inventions can be considered as other inventions. First, as a first invention, a program for causing a computer to generate an image of a virtual space including a background viewed from a given viewpoint to execute a given game, and includes the given viewpoint. The virtual body arranging means for arranging a virtual body (for example, the dome 110 in the present embodiment) in the virtual space, and the computer as the background color deciding means for deciding the background color based on the color information of the virtual body. Further, the predetermined reference position of the virtual body (for example, the joint portion between the head 112 and the side portion 114 of the dome 110 according to the present embodiment) is set within the virtual space with respect to the virtual body placement means. A program for functioning is arranged such that the virtual body is arranged so as to be located on a line connecting a predetermined position (for example, the horizon position in the present embodiment) and the given viewpoint. It may be.

According to the first aspect of the invention, the virtual body can be arranged so that the predetermined reference position of the virtual body is located on the line connecting the predetermined position in the virtual space and the viewpoint. Therefore, the positional relationship between the color of the environment represented by the virtual body and the environment set in the virtual space can be accurately associated, and the environment can always be represented accurately even when the viewpoint moves.

Alternatively, the color of the horizon is assigned to the virtual body,
By arranging the virtual body so that the horizon colored in the virtual body is located on the line connecting the horizon position in the virtual space and the viewpoint, the horizon can always be expressed in an ideal position regardless of the altitude of the viewpoint. . That is, as the second invention,
The program according to the first invention, wherein a predetermined position in the virtual space is a horizon position of the virtual space, and the virtual color is determined based on the predetermined reference position in the virtual body with respect to the background color determining means. A program may be configured to function so as to determine the color for expressing the boundary between the surface of the space and the sky. By arranging the virtual body in this way, it is possible to prevent the problem that the horizon position moves strangely with the change in the altitude of the viewpoint even when the drawing range is restricted and the rear part of the terrain is cut out. it can.

As a third invention, the first or second invention is provided.
In the program of the invention, the virtual body has a shape including at least a hemispherical head (for example, the head 112 shown in FIG. 5), and the hemispherical crown is provided to the virtual body arranging means. A program may be configured to function so as to face the zenith direction of the virtual space and arrange the virtual body with the hemispherical edge portion as the predetermined reference position.

According to the third aspect of the invention, the virtual body is configured to include a hemispherical head, the top of the virtual body is directed toward the zenith in the virtual space, and the edge portion of the head is set as the predetermined reference position. You can That is, the background color of the virtual space can be determined by the inverted bowl-shaped dome that includes the viewpoint. At this time, the edge of the head, that is, the portion corresponding to the edge of the bowl is given the color of the horizon, and if the head is arranged so that the edge is located on the line connecting the viewpoint and the horizon position in the virtual space, The head of a virtual body can always represent the sky.

When the drawing range is limited and the rear side of the terrain is cut off, an appropriate ground surface color is supplemented to the portion from the rear side cut-off position of the terrain to the horizon position in the generated image. To do. Any method may be used to supplement the color of the ground surface. For example, first generate an image, color the entire screen with the ground color, then overwrite the sky color based on the head of the virtual body, in sequence,
The configuration may be such that an object existing in the virtual space is overwritten.

A fourth invention is the program of the third invention, wherein a side portion (for example, the side portion 114 shown in FIG. 5) is provided between the ground surface of the virtual space and the head portion. The computer is further caused to function as a side joining means provided in the virtual body, and the background color determining means is caused to function to determine the color of the ground surface of the virtual space based on the color information of the side portion. You may comprise the program for.

According to the fourth aspect of the present invention, the virtual body can be provided with a side portion for determining the color of the ground surface under the head. So, for example, if you join the edge of the head to the side of a cylinder that extends in the direction of the surface of the earth, the color between the horizon and the terrain object in the image will be reduced even when clipping behind the terrain object. The color of the sides makes it easy to supplement.

If the shape of the side portion is defined by a shape extending from the edge portion of the head to the ground surface, the horizon on the image and the rear cutting position of the terrain will always be displayed even if the altitude of the viewpoint changes. It is possible to determine all the colors of the spaces. That is, as a fifth invention, the program according to the fourth invention, for causing the side joining means to change the overall height of the side according to the position of the given viewpoint. The program may be configured.

A sixth aspect of the present invention is the program according to any one of the first to fifth aspects of the invention, wherein specific points (for example, specific points Top, H0-2, and B shown in FIG. 9) are added to the virtual body.
1) and 2) and the color information of the specific point, the computer is further made to function as a specific point setting means, and the background color determining means is made to transmit the color information of the virtual body to the color information of the specific point. It is also possible to configure a program that causes the background color information to be calculated based on the above.

According to the sixth aspect of the invention, the color is defined only at a specific point on the virtual body, and the color of any point on the virtual body is
It can be determined based on the color given to each specific point. Therefore, it is not necessary to store the color of the virtual body by the texture or the like, and the memory can be saved. Further, when deciding the color of an arbitrary point in the virtual body, if the colors given to each specific point are combined according to the positional relationship between the point and each specific point, the shape of the virtual body is calculated. The color can be changed stepwise in accordance with this. For example, if a virtual body is defined by a bowl-shaped dome, and a specific point with a dark blue color is set on the zenith and a white specific point is set on the edge, the color from the zenith to the horizon can be seen from the viewpoint. It is possible to express a state in which the color gradually changes according to the change in the thickness of the.

When specific points are provided on the virtual body and the color on the virtual body is determined based on the color of each specific point, it is not necessary to calculate the color of the entire virtual body each time an image is generated. , Only the color of the range displayed on the screen needs to be determined. That is, as a seventh invention, the program according to any one of the first to fifth inventions, wherein a specific point is set in the virtual body, specific point setting means for setting color information of the specific point, and the virtual point is set. The color information of a given position in the body is further calculated by calculating the color information of the specific point and the positional relationship between the specific point and the given position. For background color determination means,
A program for causing the background color information to be determined based on the color information at a given position in the virtual body may be configured.

Further, the range of the virtual space represented on the screen,
That is, if the range of the field of view is compared with the size of the earth defined in the virtual space, the change of the color in the horizontal direction in the virtual space is subtle in the field of view, and even if it is expressed by the same color, it does not give a sense of discomfort. Therefore, as an eighth invention, a seventh invention is provided.
Of the background color information included in the image, the color information on a line parallel to the horizontal direction in the virtual space is transmitted to the background color determination means by the color of the virtual body. You may comprise the program for functioning so that it may express with the same color based on information. In this way, by expressing the horizontal color in the virtual space with the same color, the image generation process can be further simplified and the image can be generated quickly.

A ninth invention is the program according to any one of the sixth to eighth inventions, wherein the color information of the specific point is provided to the specific point setting means in the virtual space. You may comprise the program for functioning so that it may change according to the position of a given viewpoint.

According to the ninth aspect, the color given to the specific point can be changed according to the change in the position of the viewpoint. For example, as the color given to each specific point, when the position of the viewpoint is above the cloud, a bright color is set for each specific point, and when the viewpoint is below the cloud, a dark color is set. By setting, it is possible to express a completely different environment above and below the cloud. In this way, by changing the color given to the specific point in accordance with the change in the position of the viewpoint, it is possible to increase the variation of the environment to be expressed and improve the realism of the generated image.

The tenth invention includes sixth to ninth inventions.
The program of any one of the above-mentioned inventions, for causing the specific point setting means to set at least two or more specific points on a given cross section passing through the center of the virtual body. The program may be configured.

According to the tenth aspect of the invention, as the specific points, if different colors are set for the specific points existing in one direction on the cross section passing through the center of the virtual body and the specific points existing in the other direction. , It is possible to give direction dependency to the color of the virtual body. For example, with the z-axis direction in the coordinate system (x, y, z) having the origin at the center of the virtual body as the reference direction,
When a specific point is set on the cross section of the virtual body by the yz plane, it is possible to represent a color according to the angle formed with the z axis with respect to the rotation around the y axis.

At this time, a reference direction may be provided in the virtual space, and the reference direction may always be oriented in a given direction in the virtual space. That is, the first
1st invention is the program of 10th invention, Comprising:
A program for causing the virtual body arranging unit to arrange the virtual body so that a reference direction on the given cross section faces a given direction of the virtual space may be configured. Good. In this way, by arranging the virtual body in the virtual space by utilizing the direction dependency of the virtual body, it is possible to consistently determine the color of the environment even if the position of the viewpoint moves. Becomes

As described above, by setting the position and direction of the virtual body corresponding to the "horizon position", "zenith", and "given direction" in the virtual space, the arrangement position of the virtual body is made unique. The virtual body can be specified and the virtual body can always be placed in an ideal position. The 12th
The invention may be configured as a program of the eleventh invention, wherein the given direction is a direction of a given light source in the virtual space. That is, if the “given direction” in the virtual space is set as the light source direction and the color of the reference direction in the virtual body is set as the bright color, the light source direction can always be represented by the bright color.

It should be noted that the virtual body may be used not only for determining the color of the environment but also for designating the color of a function called fog. That is, as a thirteenth invention, the program according to any one of the first to twelfth inventions, for representing an object existing in the virtual space in a haze according to a distance from the given viewpoint. The haze expression means, and the computer as the haze color determination means for determining the color information for making the object haze by the haze expression means from the color information of the virtual body based on the line-of-sight direction of the given viewpoint with respect to the object. A program for further functioning may be configured.

[0030]

BEST MODE FOR CARRYING OUT THE INVENTION Preferred embodiments of the present invention will be described below with reference to the drawings. In the following,
A case where the present invention is applied to a flight battle game and is realized by a home-use game device will be described, but the present invention is not limited to this.

FIG. 1 is a diagram showing an example of a home-use game machine. According to the figure, the game device 1210 includes a display 1200 and game controllers 1202, 12
04 and the like are detachable. In addition, game information such as a game program and information necessary for realizing the present embodiment is a CD-ROM 1206, which is an information storage medium that is detachable from the game device 1210, and the IC card 12.
08, memory card 1212, and game device 121
0 is stored in an information storage medium or the like included in the main body.

While watching the game image displayed on the display 1200, the player controls the fighter displayed on the game image by the game controller 1202 or 12
Enjoy the flight combat game by operating with 04. Hereinafter, the fighter operated by the player is referred to as a self-fighter. Here, operating the own fighter means an action of designating the moving direction and the moving speed of the own fighter by pressing the operation button of the game controllers 1202 and 1204. In addition, in the game image, an environment surrounding the fighter, that is, an environment such as sky or terrain is expressed so that the position of the fighter in the virtual space can be grasped. The position of the viewpoint for generating the game image may be set in the cockpit of the fighter, or may be set so as to objectively express the fighter by following the fighter. Good.

Further, in the present embodiment, in order to prevent the delay of the image generation processing, all objects existing in the line-of-sight direction of the viewpoint are not drawn, but the objects to be drawn are limited according to the distance from the viewpoint. . Figure 2 (a) shows
FIG. 3 is a plan view of a virtual space, showing an example of a drawing range. As shown in the drawing, a fan-shaped range 102 having a radius D _R and an angle θ centered on the viewpoint 100 is set as a drawing range. That is, the range 10 in which the distance d (horizontal distance excluding the height component) from the viewpoint 100 satisfies 0 ≦ d ≦ D _R
Drawing is executed only for objects existing within 2. The distance D _R is the maximum distance that is predicted not to cause a delay in the image generation processing. Figure 2 (b)
FIG. 3 is a vertical sectional view of a virtual space of a drawing range 102.
In this way, drawing is not performed in the range where the distance from the viewpoint 100 exceeds D _R.

However, as described above, the drawing range 10
When 2 is defined by the horizontal distance D _{R with} respect to the viewpoint 100, the following inconvenience occurs. Originally, when the ground surface is looked down, the higher the height h of the viewpoint 100, the smaller the object on the ground surface, and the larger the area of the ground surface in the field of view (screen) should be. However, the drawing range 1
When 02 is constant, the area of the displayed ground surface does not become large even if the altitude h of the viewpoint 100 increases, and in particular, the depth direction appears to be close to the viewpoint.

For example, as shown in FIG.
When the altitude h of 00 is low, the end portion 104 in the depth direction of the drawing range 102 and the direction of the horizon substantially match,
There is no fear of discomfort. On the other hand, as shown in FIG. 3B, when the position of the viewpoint 100 is high, the drawing range 10
Since it is possible to look down on the second end portion 104, it gives an impression that the terrain is suddenly interrupted. At this time, a method of expressing the end 104 as a horizon by blurring and expressing the vicinity of the end 104 may be considered. However, since the position of the horizon thus generated is clearly closer to the viewpoint 100 than the position of the ideal horizon, the earth feels strangely small.
In the present embodiment, even in such a situation, the drawing range 102
It is intended to represent the environment efficiently and plausibly without expanding.

The present embodiment will be described in detail below.
In the present embodiment, the horizon is defined at a position unrelated to the drawing range 102. Specifically, the position of the distance D _G from the viewpoint 100 is the position of the horizon. FIG. 4A is a plan view of the virtual space, and FIG. 4B is a vertical cross-sectional view of the virtual space, showing the relationship between the horizon distance D _G and the radius D _R of the drawing range 102. As shown in the figure, the horizon distance D _G is
It is larger than the radius D _R of the drawing range 102 (D _G > D _R ).
It should be noted that the color of the sky above the set horizon and the color of the ground surface from the horizon to the end 104 of the drawing range 102 are determined by the viewpoint 10
Determined by the dome containing 0. This dome is
It is defined by a polygon model, and is composed of a head for determining the color of the sky and a side for determining the color of the ground surface. Hereinafter, the coordinate system in the virtual space is referred to as the world coordinate system (X, Y, Z), and the coordinate system for defining the dome polygon model is the local coordinate system (x, y,
z).

First, the structure of the dome will be described. 5A and 5B are diagrams showing an example of the dome 110. FIG. 5A is a vertical sectional view of the dome 110, and FIG. 5B is a perspective view of the dome 110. As shown in the figure, the dome 110 is composed of a substantially hemispherical head 112 that is rotationally symmetric with respect to the y-axis, and a cylindrical side portion 114 having the y-axis as a central axis. Note that the viewpoint 100 in the virtual space is located on the y axis (that is, the central axis) of the dome 110, and the Y axis of the world coordinate system (that is, the virtual space) and the y axis of the local coordinate system are The domes 110 are arranged in the virtual space so as to be parallel to each other. 5C is a lower perspective view of the head 112, and FIG. 5D is a side view of the head 112. This Figure 5
As shown in (c) and (d), the head 112 is formed of a triangle or a trapezoidal polygon. Further, the total height L _H of the head 112 and the radius r _{H at} the lowermost end of the head 112 are always constant values regardless of changes in the position of the viewpoint 100.

On the other hand, FIG. 5E is a bottom perspective view of the side portion 114, and FIG. 5F is a side view of the side portion 114. As shown in (e) and (f), the side portion 114 is formed of a rectangular polygon. Further, the radius r _{B of the} side portion 114 is set equal to the radius r _{H at} the lowermost end of the head portion 112 (r _B = r _H = constant), and the number of polygons in the horizontal direction at the joint portion is set to match. That is, the head 112 and the side 114
At the joint, the vertex positions of the corner polygons mesh,
It is continuous. The radius r _{B of the} side portion 114 is equal to the radius D _R of the drawing range 102, or
Is set to be slightly smaller than the radius D _{R of} (r _B
≤D _R ).

However, the total height L _B of the side portion 114 is changed according to the altitude (height h) of the viewpoint 100.
FIG. 6 shows that the side portion 114 changes as the height h of the viewpoint 100 changes.
It is a figure which shows an example which changed the total height L _B of, and the height h of the viewpoint 100 was raised from (a) to (c). As shown in the figure, the total height L _{B of the} side portion 114 is determined so that the joint portion of the side portion 114 and the head portion 112 is located on the straight line 120 connecting the viewpoint 100 and the horizon position.

FIG. 7 is a vertical sectional view of the dome 110.
It is a figure for explaining the processing which determines the total height L _{B of the} side part 114. In the figure, straight lines 122a and 122b show the range of the visual field in the vertical direction (Y-axis direction) in the virtual space, and a broken line 120 shows a straight line connecting the viewpoint 100 and the horizon position. The horizon distance with respect to the viewpoint 100 is displayed by D _G. According to the figure, the total height L _B of the side portion 114 is equal to the radius r _{B of the} side portion 114 and the horizon distance D.
It can be determined using a proportional relationship between _G and the height h of the viewpoint 100. That is, the total height L of the side portion 114
_B is, L _B = h - can be determined by _{{(h-r B) /} D G} ... (1). In this way, by arranging the joint portion of the head 112 and the side portion 114 on the straight line connecting the viewpoint 100 and the position of the horizon, the color of the portion above the horizon is drawn by the head 112 from the horizon. 102
The color up to the edge 104 can be determined by the side 114, respectively.

The vertical length (y-axis direction) l _B of each polygon forming the side portion 114 is determined by the total height L _{B of the} side portion 114 calculated by the equation (1). Specifically, it is uniformly determined by a value obtained by dividing the total height L _B by the number of vertical polygons m. That is, l _B = (L _B / m) (2).

Next, the color of the dome will be described. The color of the dome 110 is set to a different color depending on the orientation in the local coordinate system (x, y, z). For example, in FIG.
As shown in (a), among the polygons forming the dome 110, different hues are set for polygons existing in the positive direction of the z axis and polygons existing in the negative direction. For example,
To produce a dusk scene, a bright color based on red or yellow is set in the positive direction of the head 112 on the z-axis, and a dark color such as dark blue is associated with the negative direction of the z-axis. Further, a bright soil color illuminated by the setting sun is arranged in the positive direction of the z-axis of the side portion 114, and a dark soil color that is darkened in the dusk is arranged in the negative direction of the z-axis. And the dome 11 in the virtual space
When 0 is arranged, as shown in FIG. 8B, the positive direction of the z axis of the dome 110 is the light source 130 in the virtual space.
The dome 110 is rotated and arranged so as to face the horizontal component of the ray vector 132 of In this way, the color given to the dome 110 is changed according to the direction in the local coordinate system, and the direction of the dome 110 in the virtual space is determined in accordance with the direction of the light source 130 to easily express a realistic environment. can do.

When the color on the dome 110 is defined for each polygon, a large number of polygons are used in order to more finely and smoothly represent changes in the colors of the atmosphere and the ground surface. In addition to the requirement, a large capacity memory is required. On the other hand, if the number of polygons is reduced, the memory capacity can be reduced, while the color on the dome 110 changes significantly on a polygon-by-polygon basis, and it is not possible to express a subtle color change in the atmosphere. In order to prevent such a problem, a color is set only for a specific point on the dome 110 (hereinafter referred to as a specific point). And the dome 110
The color of an arbitrary point in is determined by synthesizing the color given to each specific point based on the positional relationship between the point and the specific point.

FIG. 9 is a diagram showing an example of specific points on the dome 110, which is a cross-sectional view of the dome 110 on the yz plane (x = 0). As shown in the figure, a vertex (Top) of the head 112 and two target points a and b with respect to the y-axis.
5 sets (H0 to H2, B1, 2) are set on the surface of the dome 110 where x = 0. That is, one specific point is provided for Top, and specific points are provided at 10 positions that are symmetrical in the positive and negative directions of the z-axis. According to FIG. 9, seven specific points are set on the head 112 and four specific points are set on the side portion 114.

Thus, one of the reasons for increasing the number of specific points set on the head 112 with respect to the number of specific points set on the side portion 114 is that the side portion 114 is in the y-axis direction. This is because the head 112 has a curved shape, while the head 112 has a linear shape. Usually, it is relatively easy to set different colors on two points on a straight line and to gradually change from one color to the other between the two points. Specifically, a gradation between two points can be realized by giving a result of combining two colors to each point existing between the two points according to a ratio of distances between the two points. On the other hand, on a curved surface, it is difficult to change the color according to the change in the shape of the surface. If the curvature of the curved surface is constant, the color composition ratio may be determined according to the angle, but here, it is not always necessary to make the curvature from Top to the bottom end of the head 112 constant, so that it is not always necessary. It's not a rational method.

Further, the change of color in the vertical direction of the sky is
It is often more pronounced and abrupt than the change in color with depth on the surface of the earth. That is, the change in the color of the sky has a strong impression that it is different from the case where the color is changed linearly. For example, at dusk, the change from a bright color around the sun hidden in the horizon to the color of a dark sky above is relatively rapid, and it is unnatural if the color changes linearly in response to changes in the line of sight. It will look like this. For the above reason, as shown in FIG. 9, by setting a plurality of specific points on the head 112, it is possible to produce a subtle change in the tint of the atmosphere.

FIG. 10 is a diagram showing an example of a specific point color table 44 for storing the color of a specific point on the dome 110. According to the figure, in the specific point color table 44, the coordinates of each specific point and the color are stored in association with each other. here,
L _H is the total height of the head 112, L _B is the total height of the side 114, r _B
Means the radii of the side portions 114, respectively, and the total height L _{B of the} side portions 114 is substituted by the value obtained by the equation (1). The coordinates mean coordinates in the local coordinate system.

The color of an arbitrary point p on the surface of the dome 110 is defined by four specific points (Top points) existing near the point p.
In the case of including, it is determined by combining the colors given to the three specific points). The composition ratio of each color is determined according to the point p to be obtained and the distance (or angle) to each specific point. For example, the dome 110 shown in FIG.
When determining the color of the upper point p, first, the coordinates (x _p , y _p , z _p ) of the point p in the local coordinate system are determined, and the y coordinate is y _p from the specific point color table 44. Select two sets of specific points close to the value of. According to FIG. 11A, the specific point H
A set of 0a and b and a set of specific points H1a and b are selected. The method of synthesizing the selected specific points may be any method as long as the positional relationship with the point p is taken into consideration. An example will be described below.

First, each intersection of a horizontal plane passing through the two specific points of each set and a vertical line on the surface of the virtual body passing through the point p is determined, and the color at that point is determined. At this time, since there are two horizontal planes in the vertical direction with the p point in between, two intersections with the vertical line will be calculated. Hereinafter, an intersection of a horizontal line and a vertical line passing through two specific points is referred to as a horizontal intersection, and a color obtained as a result of combining the colors of two specific points arranged in the horizontal direction is referred to as a horizontal composite color C _n . That is, the color at the horizontal intersection becomes the horizontal composite color C _n . Then 2
The color of the point p is determined by synthesizing the two horizontal composite colors C _n according to the positional relationship between the point p and each horizontal intersection.

For example, in the case of obtaining the color of the point p shown in FIG. 11A, a horizontal intersection 146 between the horizontal line 140 passing through the specific points H0a and b and the vertical line 144 passing through the point p, and the specific point H1a. The horizontal intersection 148 between the horizontal line 142 and the vertical line 144 passing through b is calculated, and further, the horizontal composite color C _{H0 at the} horizontal intersection 146 and the horizontal composite color C at the horizontal intersection 148 are calculated.
Determine with _H1 . As shown in FIG. 11B, each horizontal composite color C _n has a unit vector 150 and z in the horizontal direction of the point p.
It is determined based on the angle φ formed with the axis. That is, each horizontal composite color C _n can be determined by C _n = {C _a (cos φ + 1) + C _b (cos (π−φ) +1)} / 2 (3). Here, C _a means the color of the specific point in the positive direction, and C _b means the color of the specific point in the negative direction.

When the two horizontal composite colors C _n are obtained, the respective horizontal composite colors C _n are composited according to the ratio of the distances between the two horizontal intersections 146 and 148 and the point p. This combining process differs depending on whether the point p exists on the side portion 114 or the head portion 112. When the point p exists on the side portion 114, the two horizontal composite colors C _n are linearly combined based on each distance. That is, it is determined by the ratio of the point p and the distance to each point. C _p = {C _B1 (L _B −y _p ) + C _B2 (y _p −0)} / L _B (4) Here, C _B1 and C _B2 are horizontal at the uppermost end and the lowermost end of the side portion 114, respectively. shows the composite color, L _B is the total height of the side 114, y _p denotes the y coordinate of the point p.

On the other hand, when the point p exists on the head 112, the color is determined in units of polygons existing between two horizontal intersections. Specifically, as shown in FIG. 11 (c), an arc 160 (head 1
Vertices 152 to 152 of polygons existing on the surface part 12)
156 (or a point that intersects the sides of the polygon) is determined, and the colors given to the vertices 152 to 156 are calculated. Further, a line segment including the point p is selected from the line segments having the vertices 152 to 156 as end points. In the figure, the color of the point p is determined by linearly combining the colors given to the end points 152 and 154. Note that the process of determining the color of each vertex is performed by each horizontal intersection point 14 with each vertex 152-156.
6, 148, and the colors are combined linearly. For example, when determining the color of the vertex 152 of the polygon, the distance between the vertex 152 and the horizontal intersection 146 and the distance between the vertex 152 and the horizontal intersection 148 are calculated, and the combination ratio is determined based on the ratio of the distances.

When generating a game image, it is possible to select a point on the dome 110 corresponding to each pixel on the screen and determine the color, but the following simplification is performed. May be. That is, considering the size of the earth with respect to the horizontal width of the screen (horizontal width of the field of view), it is not unnatural for the horizontal color along the horizon to be the same color on the screen. Therefore, when the direction of the horizon is the same as the horizontal direction on the screen, the color is determined for one pixel representing each scanning line, and the same color is given to all the pixels existing on the same scanning line. be able to. FIG. 12A shows a screen 1 for perspective projection in a virtual space.
It is a figure which shows an example which arranged 62 typically. As shown in the figure, straight lines 164-1 to n connecting the pixel corresponding to the center position of each scanning line on the screen 162 and the viewpoint 100 are calculated, and the color of the point where each straight line 164 intersects the dome 110 is calculated. calculate. Then, the calculated color is given to all the pixels on the corresponding scanning line.

However, if the fighter turns and the viewpoint 100 rotates (tilts) accordingly, it is not possible to apply the same color to all pixels of the scanning line.
In this case, the rotation (tilt) angle of the viewpoint 100 is calculated, and as shown in FIG. 12B, the pixel row on the screen 162 that is parallel to the vertical direction of the virtual space is selected. Then, each pixel of the screen 162 and the viewpoint 100
When a straight line connecting with and the color at the intersection of each straight line and the dome 110 is calculated, it is determined as a color to be given to each corresponding pixel. Further, a row of pixels on the screen 162 that is parallel to the direction of the horizon in the virtual space is selected, and the calculated color is applied to each row.

A method called fog may be applied to the objects existing in the drawing range 102. The fog is a method of expressing an object existing at a position far from the viewpoint 100 by blurring it according to the distance, and specifically, specifies a color at a position where an object is blurred and cannot be completely seen, and specifies the color. This is performed by synthesizing the color that has been created with the color that each object possesses according to the distance of the object to the viewpoint 100. According to the present embodiment, the color of the environment specified by dome 110 differs between the light source direction and the opposite direction. At this time, if the color of the fog applied to the terrain object is set to the same color in all directions, a combination of colors that make the terrain object haze and invisible and colors near the horizon are completely unrelated There is a risk that That is, the surface of the earth looks like an unnatural color change.

In order to eliminate such a contradiction, the color of the bottom end of the dome 110 is adopted as the fog color. Specifically, as shown in FIG. 13, based on the angle φ formed by the horizontal component 172 of the vector 170 representing the line-of-sight direction of the viewpoint 100 and the z-axis, the horizontal intersection point 1 at the lowermost end of the dome 110.
The horizontal composite color C _n at 74 is calculated and used as the color of fog applied to the terrain object. In this way, by determining the color of the fog to be applied to the terrain by using the color of the side portion 114, there is no contradiction between the tint where the terrain hazes and disappears and the tint of the surface up to the horizon, and It is possible to express the environment.

Further, conventionally, it has been difficult to flexibly change the color of fog. This is because in many cases of expressing fog, attention was paid only to how likely to express the shading. That is, only one color of fog is used, the fog is adjusted only by the distance to the viewpoint, and the direction to the viewpoint is not considered. For this reason, for example, when the color of the fog is set to white, there is a possibility that another fighter, which should disappear in the dusk, vanishes in the dark sky with a faint white contradiction.
However, according to the present embodiment, it is possible to determine the direction in which another fighter vanishes, calculate the color on the dome 110 in that direction, and use it as the fog color.
It can be described as if other fighters haze and disappear into the environment, consistently.

Next, the functions required to implement the present invention using hardware such as a computer will be described. FIG. 14 is a diagram illustrating an example of functional blocks. The functional blocks shown in the figure include a function that operates according to a program stored in the game information and a function that the game device 1210 shown in FIG. 1 has in advance.

The operation section 10 is used by the player to operate the player's character in the game, instruct the start / stop of the game, input selection items on the selection screen, and the like. A keyboard, a mouse, a game controller, etc. It can be realized by the operating device.

The processing section 20 performs various kinds of processing such as control of the entire system, instruction of commands to each block in the system, game processing, image processing, sound processing, etc., and its function is various processors (CPU). , DSP, etc.) or A
It can be realized by hardware such as SIC (gate array etc.) or a given program. Further, the processing unit 20 includes
The game calculation unit 22 and the image generation unit 24 are mainly included.

The game calculation section 22 is a game progressing process,
Various game processes input from the operation unit 10, such as a selection screen setting process, a process of determining the position and orientation of each object in the virtual space, a process of obtaining the position of the viewpoint 100, the line-of-sight direction, the field of view, and the like. It is executed based on a signal, the game program 42 read from the information storage medium 40, or the like.
Further, the game calculation section 22 includes a dome control section 220 for executing the processing according to the present embodiment.

The dome control unit 220 determines the total height L _{B of the} side portion 114 and the dome 11 in the virtual space.
The process of allocating 0 is executed. That is, when the game operation unit 22 determines the coordinates (X _C , Y _C , Z _C ) of the viewpoint 100 in the world coordinate system, its horizontal position (X _C ,
The origin of the local coordinate system of the dome 110 is placed on 0, Z _C ). Also, the height h of the viewpoint 100 (that is,
The total height L _B of the side portion 114 is determined by substituting Y _C ) into the equation (1), and the vertical length of each polygon forming the side portion 114 is determined. Also, the dome control unit 220
Is the dome 11 so that the z axis in the local coordinate system faces the direction of the ray vector of the light source in the virtual space.
Rotate 0.

The image generating section 24 executes processing for generating a game image based on the instruction signal and various coordinate data input from the game calculating section 22, and includes CPU, D
It is configured by hardware such as SP, IC for image generation, and memory. Specifically, the image generation unit 24 performs a process of performing front and rear clipping to determine a view volume, coordinate conversion for each polygon, and viewpoint 1.
A game image is generated by executing geometry processing such as luminance calculation processing based on 00 and a light source, and rendering processing such as color interpolation processing and hidden surface removal processing. Then, the generated game image is output as image data to the display unit 30 to be displayed. The display unit 30 includes the image generation unit 24.
The image data input from is displayed on the display screen. The image generation unit 24 also includes an environment color determination unit 240.
And a fog processor 242.

The environment color determining section 240 determines the color of the environment given to each pixel on the screen based on the dome 110. That is, a straight line for each pixel on the screen is obtained from the viewpoint 100, and the straight line and the dome 110 are obtained.
Calculate the intersection point above. Then, when the specific point color table 44 is read from the information storage medium and the color on the calculated intersection is calculated, the calculated result is given to the corresponding pixel. In addition, when the same color is assigned to a straight line parallel to the horizon, the rotation (tilt) angle of the viewpoint 100 is determined, and among the pixels on the screen, the pixel in the direction perpendicular to the horizon in the virtual space is selected. The columns and rows of pixels that are parallel to the horizon are determined and the color given to each row is calculated.

The fog processing unit 242 executes a process of applying fog to an object existing in the visual field. For example, if you have a terrain object in your field of view,
The horizontal composite color C _n calculated for the bottom edge of the side portion 114 is adopted as the color of the fog applied to the terrain object. Further, when performing fog on a fighter in the sky, a straight line connecting the viewpoint 100 and the fighter is calculated, an intersection between the straight line and the dome 114 is obtained, and the color on the intersection is set as the fog color. adopt.

The information storage medium 40 is a program for driving a game device or a program for executing a game,
It is for storing data, and can be realized by hardware such as a CD-ROM, game cassette, IC card, MO, FD, DVD, memory, and hard disk. The information storage medium 40 mainly stores a game program 42 for executing a given game and a specific point color table 44. In addition, in the game program 42,
In addition to a program for the game calculation unit 22 to execute a game in accordance with a given game scenario, information necessary for the image generation unit 24 to perform geometry processing and rendering processing, the dome control unit 220 causes the dome 110 to operate. Control information 420 required to execute the placement of
And the color processing information 422 necessary for the environment color determination unit 240 and the fog processing unit 242 to execute the above-described processing.

Next, the processing for realizing the present embodiment will be described below with reference to the flowchart shown in FIG. The following processing is executed for each frame. In FIG. 15, the game calculation unit 22
Determines the position and line-of-sight direction of the viewpoint 100 in the virtual space according to the operation unit 10 or the game program (step S1). Then, the dome control unit 220
Arranges the origin of the dome 110 at the horizontal position of the viewpoint 100 determined in step S1 (step S2). Further, the dome control unit 220 determines the total height L _{B of the} side portion 114 based on the height h of the viewpoint 100 and the horizon distance D _G (step S3).

The environment color determining section 240 executes a process of drawing an environment in the visual field range of the viewpoint 100 (step S4). If there is an object to be drawn in the field of view, the fog processing unit 242 executes a process of performing fog based on the existing position of the object (step S5). Then, when the drawing is completed for all the objects, this processing is ended.

Next, an example of a hardware configuration that can realize this embodiment will be described with reference to FIG.
In the device shown in the figure, a CPU 1000, a ROM 100
2, RAM 1004, information storage medium 1006, sound generation I
C1008, image generation IC 1010, I / O port 10
12, 1014 are connected to each other via a system bus 1016 so that data can be input / output. A display device 1018 is connected to the image generation IC 1010, and a speaker 1020 is connected to the sound generation IC 1008.
The control device 1022 is connected to the I / O port 1012, and the communication device 102 is connected to the I / O port 1014.
4 is connected.

The information storage medium 1006 corresponds to the information storage medium 40 in the functional block shown in FIG. 14, and mainly stores programs, image data for expressing display objects, sound data, play data, and the like. It is something. For example, in the home-use game machine 1210 shown in FIG. 1, a CD-ROM, a game cassette, a DVD or the like is used as an information storage medium for storing a game program or the like, and a memory card or the like is used as an information storage medium for storing play data. Used. Further, when the present invention is applied to an arcade game machine, a memory such as a ROM or a hard disk is used, and in this case, the information storage medium 10 is used.
06 becomes the ROM 1002. Further, in a personal computer, a memory such as a CD-ROM, a DVD, a ROM, a hard disk, or the like is used.

The control device 1022 corresponds to a game controller, an operation panel, etc., and is a device for inputting the result of the judgment made by the user according to the progress of the game to the main body of the device.

A program stored in the information storage medium 1006, a system program stored in the ROM 1002 (initialization information of the apparatus main body, etc.), the control apparatus 102.
CPU 1000 in accordance with signals input by
Performs overall control of the device and various data processing. RAM1
A storage unit 004 is used as a work area or the like of the CPU 1000, and includes an information storage medium 1006 and a ROM.
The given content of 1002 or the calculation result of the CPU 1000 is stored.

Furthermore, this type of device includes a sound generation IC 10
08 and an image generation IC 1010 are provided so that the game sound and the game image can be appropriately output. The sound generation IC 1008 is used for the information storage medium 1006 and R
It is an integrated circuit that generates game sounds such as sound effects and background music based on the information stored in the OM 1002, and the generated game sounds are output by the speaker 1020. Further, the image generation IC 1010 is the RAM 1
This is an integrated circuit that generates pixel information to be output to the display device 1018 based on image information output from the 004, the ROM 1002, the information storage medium 1006, and the like. The display device 1018 is realized by a CRT, LCD, TV, plasma display, projector or the like.

The communication device 1024 is for exchanging various kinds of information used inside the game device with the outside, and is connected to another game device to send and receive given information according to the game program. , Is used for sending and receiving information such as game programs via a communication line.

The various processes described with reference to FIGS. 1 to 14 are programs including the dome control information 420, the color processing information 422, the specific point color table 44, etc. for performing the processes shown in the flowchart of FIG. And an information storage medium 1006 storing the CPU 1 and a CPU 1 that operates according to the program.
000, an image generation IC 1010, a sound generation IC 1008, and the like. Note that the processing performed by the image generation IC 1010, the sound generation IC 1008, etc. is performed by the CPU 1000.
Alternatively, it may be performed by software using a general-purpose DSP or the like.

The present invention may be applied not only to the home-use game machine 1210 shown in FIG. 1 but also to any other form of game machine. For example, in FIG. 17, a host device 1300 and terminals 1304-1 to 1304-1 connected to the host device 1300 via a communication line 1302.
An example of the case where this embodiment is applied to a game device including 04-n is shown.

In the case of the form shown in FIG. 17, the game program 42 and the specific point color table 44 stored in the information storage medium 40 of FIG. 14 are, for example, a magnetic disk device and a magnetic tape device which can be controlled by the host device 1300. , An information storage medium 1306 such as a memory. In addition, the terminals 1304-1 to 1304-n have a CPU and an image generation I.
In the case where the device C has a sound generation IC and can generate a game image and a game sound in a stand-alone manner, the host device 1300 provides a terminal 1304 with a game image and a game program for generating the game sound. -1 to 130
Delivered to 4-n. On the other hand, when it cannot be generated standalone, the host device 1300 generates a game image and a game sound, and the terminal 1304-1 to 1304-.
Then, it will be output to the terminal.

Alternatively, as shown in FIG. 18, this embodiment may be applied to an arcade game machine 80. In this arcade game device 80, the player operates the operation button 84 while listening to the sound output from the speaker 86, thereby operating the self-fighter displayed on the display 82 and enjoying a given game. It is a device. The system board 90 built in the arcade game device 80 has a CP
U, an image generation IC, a sound generation IC, etc. are mounted. The game program 42, the specific point color table 44, and the like are stored in the memory 9 that is an information storage medium on the system board 90.
Stored in 2.

The present invention is not limited to the one described in the above embodiment, and various modifications can be made. For example, in the present embodiment, the color given to one specific point is limited to one type, but the color given to the specific point may be changed according to the altitude of the viewpoint 100. Specifically, as shown in FIG. 19A, a plurality of types of specific point color tables 180-1, 2, ... According to the altitude of the viewpoint 100 are defined. Then, as shown in FIG.
The relation table 182 for associating the altitude range of 00 with the specific point color table 180 to be adopted is defined, and the relation table 182 is read out during the game execution, and the viewpoint 10
The specific point color table 180 corresponding to the height of 0 may be determined.

Alternatively, the result of combining a plurality of colors depending on the altitude of the viewpoint 100 may be given to each specific point on the dome 110. Specifically, altitude h
₀ , h ₁ , h ₂ , ..., A plurality of discrete altitudes are set, and a specific point color table 180-corresponding to each altitude is set.
1, 2, ... are defined. Then, as shown in FIG. 19C, a related table 184 that associates each altitude with the specific point color table 180 is generated. During the execution of the game, two specific point color tables 180 having an altitude close to the height h of the viewpoint 100 are read out from the related table 184, and part 2 thereof is read.
The required specific point color is read out from each of the specific point color tables 180. Then, each specific point color table 18
The colors corresponding to the respective altitudes are combined according to the ratio between the altitude of 0 and the height h of the viewpoint 100, and the color given to the corresponding specific point is determined. In this way, by sequentially changing the color given to each specific point according to the height h of the viewpoint 100, it is possible to change more naturally and richly.

Further, the timing of changing the specific point color table may be changed not only with the height of the viewpoint 100 but also with the passage of time. For example, even when the position of the viewpoint does not change, the specific point color table for midday may be changed to the specific point color table for dusk over time.

Further, in a dusk scene or the like, the position of the specific point on the dome may be moved over time without being fixed. For example, it is possible to gradually move the position of a specific point having a reddish color so that the setting sun is set. FIG. 20 is a cross-sectional view of the dome in the y-z plane, showing an example of movement of a specific point.
As shown in (a), at the beginning of the sunset, the positions of the specific points are set to the sky, and with the passage of time, the positions of the specific points are set to the head and the side as shown in (b) and (c). Move it so that it is close to the joint part of the part. In this way, not only are specific points arranged at target positions on the y-axis,
As shown in FIG. 20, they may be arranged asymmetrically and moved over time. However, in this case, when deciding the color of an arbitrary point, it is decided by synthesizing the color along a line segment connecting each specific point. Alternatively, the shape of the polygon may be changed according to the interval between the specific points, and the color may be determined for each polygon.

Although the polygon forming the side portion is described as a rectangle, the coordinates of the vertices of the polygon may be movable in the vertical direction (that is, the y-axis direction). At this time, as the color of each vertex, as shown in FIG. 21A, the color when each vertex of the polygon is arranged at equal intervals in the vertical direction is given. Then, as shown in FIG. 21B, even when each vertex of the polygon is moved,
The color in the state shown in (a) is retained. When determining the color of an arbitrary point, the polygon including the point is determined, and the colors given to the vertices of the polygon are linearly combined. In this way, by changing the shape of the polygon in various ways, it is possible to increase the variation of the color change in the side portions. It should be noted that the color composition in the horizontal direction may be obtained by Expression (3).

Further, the specific points set on the dome are shown in FIG.
As described above, the setting is made in the positive direction and the negative direction in the z-axis, but the present invention is not limited to this, and three or more specific points can be set in the horizontal direction of the dome. I don't care. For example, as shown in FIG. 22A, not only the specific points 190 and 192 are set at two positions on the z-axis, but also the specific points 194 and 19 are set at other positions.
Place 6 At this time, the positions of the specific points 194 and 196 are target positions on the z axis. in this way,
By arranging them symmetrically, it is possible to express the light from the light source existing in the positive direction of the z-axis so as to spread isotropically in the virtual space.

As shown in FIG. 22 (a), when the number of specific points in the horizontal direction is increased, in the process of combining the colors of the specific points, the combination rate is determined according to the angle with respect to each specific point. Should be decided. For example, when determining the color of the point p shown in FIG. 22A, first, two specific points 192 and 196 adjacent to the point p are selected. Then, as shown in FIG. 22B, an angle φ ₁ formed between the point p and the specific point 192 around the intersection O ′ of the cross section of the dome including each specific point and the central axis of the dome, and the point The color combination ratio of the two specific points 192 and 196 may be determined by calculating the angle φ ₂ formed by p and the specific point 196 and calculating the ratio.

In the above embodiment, the horizon distance D
_{Although G} is described as a constant, it may be changed according to the height of the viewpoint 100. For example, the distance D _G is defined as a function F (h) of the height h of the viewpoint 100 (that is, Y _C ). D _G = F (h) (5) At this time, the function F (h) is an increasing function that increases as h increases, as shown in FIG. 23, and becomes a constant value when h → ∞. It is a focusing function. By determining the horizon distance D _G using such a function, the horizon can be more likely represented.

In the present embodiment, the case where the present invention is applied to the flight battle game has been described, but the present invention is not limited to this, and may be applied to any other game. For example, of course, it may be applied to an RPG, a racing game, a fighting action game, or the like. Or, not limited to game devices, flight simulators,
It may be applied to other devices such as a graphic workstation.

[0088]

According to the present invention, of the images to be generated,
Colors on a substantially horizontal line in the virtual space can be represented by the same color. Therefore, when determining the color on one horizontal line in the virtual space, it is sufficient to calculate the color for one point on that line, and the image generation speed can be further increased.

[Brief description of drawings]

FIG. 1 is a diagram showing an example in which the present invention is applied to a home-use game machine.

FIG. 2A is a diagram showing an example of a drawing range.
(B) is a sectional view of a drawing range.

FIG. 3 is a diagram for explaining how a drawing range looks according to the altitude of a viewpoint.

FIG. 4 is a diagram for explaining a distance relationship between a radius D _{R of a} drawing range and a horizon distance D _G.

FIG. 5 is a diagram showing an example of a dome.

FIG. 6 is a diagram for explaining the relationship between the height of the viewpoint and the total height of the side portion.

FIG. 7 is a diagram for explaining a process of determining the total height L _B of the side portion.

FIG. 8A is a diagram showing an example of the color scheme of the dome, and FIG. 8B is a diagram showing an example of the dome arranged in a virtual space.

FIG. 9 is a diagram showing an example in which specific points are set on the surface of a dome.

FIG. 10 is a diagram showing an example of a specific point color table.

FIG. 11 is a diagram illustrating a process of determining a color given to an arbitrary point on a dome.

FIG. 12A is a diagram showing an example in which a screen is arranged in a virtual space. FIG. 6B is a diagram in which the screen is rotated according to the tilt of the viewpoint.

FIG. 13 is a diagram illustrating a process of determining a fog color applied to a terrain object.

FIG. 14 is a block diagram of functions required to implement the present invention.

FIG. 15 is a flowchart for explaining a process in this embodiment.

FIG. 16 is a diagram showing an example of a hardware configuration capable of realizing the present embodiment.

FIG. 17 is a diagram showing an example of the case where the present embodiment is applied to a game terminal connected to a host device via a communication line.

FIG. 18 is a diagram showing an example in which the present invention is applied to a game device for business use.

FIG. 19A is a schematic diagram of a plurality of specific point color tables. (B) And (c) is a figure which shows an example of a related table, respectively.

FIG. 20 is a diagram showing an example of movement of a specific point.

FIG. 21A is a diagram showing an example in which the vertices of a polygon are arranged at equal intervals in the vertical direction. (B)
FIG. 6 is a diagram showing an example in which each vertex of a polygon has moved.

FIG. 22A is a diagram showing an example in which the number of specific points in the horizontal direction is increased. (B) is a diagram showing an example of angles φ ₁ and φ ₂ formed between the point p and each specific point.

FIG. 23 is a diagram showing an example of a function F (h).

[Explanation of symbols]

10 Operation part 20 Processing Department 22 Game calculator 220 Dome control unit 24 Image generator 240 Environment drawing part 242 Fog processing section 30 Display 40 Information storage medium 42 game programs 420 Dome control information 422 color processing information 44 Specific point color table

Claims (5)

[Claims] 1. A program for causing a computer to generate an image of a virtual space including a background viewed from a given viewpoint and to execute a given game, wherein color information of background color information included in the image is included. First, the color information on a line parallel to the horizontal direction in the virtual space is made uniform, and the color information on the line is changed by changing the line-of-sight direction and / or the position of the given viewpoint. A program for causing the computer to function as a means of. 2. The program according to claim 1, wherein the given shape is a hemispherical head, and a side portion disposed between the ground surface of the virtual space and the head. The hemispherical crown is directed in the zenith direction of the virtual space, and the edge of the hemispherical position is located on the line connecting the horizon position in the virtual space and the given viewpoint. As described above, the computer is further caused to function as a virtual body arranging unit arranged in the virtual space so that the horizontal position of the center of the virtual body comes to the horizontal position of the predetermined viewpoint. On the other hand, among the color information of the background included in the image, the color information on a line parallel to the horizontal direction in the virtual space, the straight line passing through the representative point on the line from the viewpoint as the base point intersects with the virtual body. As the color information of the virtual body at the position to Program for performance. 3. The program according to claim 1, wherein the program causes the computer to function as a tilt unit that tilts the given viewpoint. 4. A computer-readable information storage medium storing the program according to claim 1. 5. A game apparatus for executing a given game by generating an image of a virtual space including a background viewed from a given viewpoint, wherein the virtual image is included in the background color information included in the image. The color information on a line parallel to the horizontal direction in the space is made uniform, and a first means for changing the color information on the line by changing the line-of-sight direction and / or the position of the given viewpoint is provided. A game device characterized by the above.