JP4717624B2 - Image generation system, program, and information storage medium - Google Patents

Description

  The present invention relates to an image generation system, a program, and an information storage medium.

  Conventionally, an image generation system (game system) that generates an image that can be viewed from a virtual camera (a given viewpoint) in an object space (virtual three-dimensional space) in which an object such as a character is set is known. It is popular as a place to experience so-called virtual reality.

  Now, in such a game system, it is an important technical problem to generate a more realistic image in order to improve the player's virtual reality.

For example, in a game system that displays an image of the water surface (the sea surface, etc.), it was generally formed with a single texture on which the water surface (the sea surface, etc.) was written, but since it was a monotonous image, it was more realistic. There has been a demand for a game system that can display an image of the water surface (the sea surface or the like).
Japanese Patent No. 2812673

  For example, in the above-mentioned document, two polygon data are arranged at intervals in the vertical direction, and the texture is mapped accordingly to express a realistic image with a sense of transparency and depth, or an image of a foggy water surface. To do.

  However, it did not express the complex movement of the sea surface caused by waves.

  In general, in the sea, a wave that has traveled offshore as a change in the height of the water surface is a white wave that approaches and pulls in the vicinity of the beach, and the waves operate as a single unit while taking different forms on the beach and at the beach.

  However, in the conventional game system, realistic image expression reflecting the influence of such waves has not been performed.

  The present invention has been made in view of the problems as described above, and the object of the present invention is to generate a realistic image of the water surface from the offshore to the shoreline that changes under the influence of waves with a small processing load. Another object of the present invention is to provide an image generation system, a program, and an information storage medium that can be used.

(1) The present invention
An image generation system for generating an image visible from a virtual camera in an object space,
A first object setting processing unit that performs processing for periodically changing the height of the constituent points of the first object for the first object corresponding to the first region of the object whose shape changes;
Processing for periodically changing the position of the second object corresponding to the second region of the object whose shape changes in synchronization with the height change cycle of the first object relative to the first object A second object setting processing unit for performing
The present invention relates to an image generation system including a drawing unit that generates an image of an object space in which a first object and a second object are set as viewed from a virtual camera.

  The present invention also relates to a program that causes a computer to function as each of the above-described units. The present invention also relates to a computer-readable information storage medium that stores (records) a program that causes a computer to function as each unit.

  For example, for the first object corresponding to the first region of the object whose shape changes, the configuration of the first object is based on the planar function of the configuration point of the first object and the periodic function with time as arguments. You may make it change the height of a point periodically. And the shape of the 1st object in each frame can be specified by calculating the height of each constituent point in each frame.

  Then, the position of the second object is periodically changed in synchronization with the height change period of the first object.

  An object whose shape changes is, for example, a liquid, a gas, or a solid whose shape changes), specifically, a waved sea or the like.

  The first object is, for example, an object for generating an image of the water surface of a region (first region) that includes an offshore of seawater (an object whose shape changes), and a plurality of constituent points (XZ coordinates of the constituent points are For example, a water surface with waves can be expressed by periodically changing the height (Y coordinate) of the mesh or the grid.

  In addition, the second object is an object for generating an image of the water surface of the region (second region) including the shore of seawater (an object whose shape changes), for example, and the size is the size of one end of the first object. It is an object having the same width as the width and having a length that can cover the maximum length of the fluctuating wave that is gathered or pulled, and the shape may be a plate shape, for example, as high as the first object It may be an object whose height changes.

  The position of the second object may be changed periodically in synchronization with the height change period of the first object, when both of the change periods may be the same, or one period may be the other period. It may be an integer multiple. Moreover, although the length of a period is the same or an integral multiple, it may be shifted.

  The first object is subjected to pixel processing for generating an image of the liquid surface away from the undulation, and the second object is subjected to pixel processing for generating an image of the liquid surface during undulation.

  For example, for the first object, the texture of the liquid surface pattern away from the rippling may be mapped, and for the second object, the texture of the liquid surface pattern at the rippling may be mapped. Good.

  According to the present invention, since the position of the second object changes periodically in synchronization with the change period of the height of each constituent point of the first object, the wave is changed between the change of the wave height and the edge of the wave. It is possible to generate a realistic image with a sense of unity.

(2) In the image generation system, program, and information storage medium according to the present invention,
The second object setting processing unit
The shape of the second object is determined based on the shape of a predetermined area of the first object.

  For example, the shape of the second object of the frame may be determined based on the shape of a predetermined area of the first object obtained in a given frame.

  Further, the shape of the second object may be determined based on the shape of a predetermined area of the first object obtained in a different frame.

  In this way, the calculation for setting the shape of the second object can be reduced, and an image of a sense of unity with the first object can be generated.

(3) In the image generation system, the program, and the information storage medium according to the present invention,
The second object setting processing unit
A process for periodically changing the transparency of the second object is performed in synchronization with the height change cycle of the constituent points of the first object.

  For example, the transparency (α value) of the second texture mapped to the second object may be periodically changed in synchronization with the height change cycle of the first object. In addition, when the color of each pixel is generated by pixel processing without performing texture mapping, the α value in the pixel processing may be periodically changed.

  For example, when the second object is drawn with additive semi-transparency, if the transparency is low (α value is close to 1), an image with white waves at the time of undulation can be generated, and the transparency is high (α value is 0). It is possible to generate an image in which white waves at the time of undulation are light.

  For example, when the position of the second object is moving away from the first object (when white waves are approaching at the time of waving. When white waves are long and long), the transparency is lowered (generates an image of dark white waves) When the position of the second object is approaching the first object (when white waves are drawn from the edge of the wave, when white waves are short), the transparency should be increased (generate a thin white wave image). May be.

(4) In the image generation system, the program, and the information storage medium according to the present invention,
The first object of the third object is synchronized with the period of the height change of the constituent point of the first object or the movement period of the second object, or is synchronized with either of them by delaying a predetermined time. A third object setting processing unit for performing processing for periodically changing the position with respect to the object;
The drawing unit
An image obtained by viewing an object space in which a third object is set together with the first object and the second object from a virtual camera is generated.

  The third object is, for example, below the second object corresponding to the second region of the object whose shape changes (the white wave that returns at the time of rippling), and is influenced by the movement of the second object ( For example, an object for generating a wet ground image).

  In the present embodiment, the third object is synchronized with the period of the height change of the constituent point of the first object or the movement period of the second object, or is synchronized with a delay of a predetermined time. Since the position of the object relative to the first object can be periodically changed, an image in which the wet ground can be seen as the white wave moves at the time of undulation and the wet ground moves behind the movement of the white wave is generated. be able to.

(5) In the image generation system, the program, and the information storage medium according to the present invention,
The third object setting processing unit
The transparency of the third object is periodically synchronized with the period of the height change of the constituent points of the first object or the period of movement of the second object, or with a delay of a predetermined time. It is characterized in that a process for changing to is performed.

  For example, the transparency (α value) of the third texture mapped to the third object is periodically changed in synchronization with the height change cycle of the first object or the movement cycle of the second object. Also good. In addition, when the color of each pixel is generated by pixel processing without performing texture mapping, the α value in the pixel processing may be periodically changed.

  For example, when drawing the third object with additive semi-transparency, if the transparency is low (α value is close to 1), an image with wet terrain can be generated, and the transparency is high (α value is close to 0). ) And terrain dry images can be generated.

  For example, when the position of the second object is located farthest from the first object (when white waves are approaching at the time of waving, when the white waves are elongated for a long time), the transparency of the third object is reduced. (Generate wet terrain image) and increase the transparency when the position of the second object is approaching the first object (when white waves are drawn from the shore, when white waves are short) It is also possible to generate (generate an image of dry terrain).

  In the above case, the transparency of all locations may be changed uniformly with time.

  Further, for example, the transparency may be changed according to the location of the third object. For example, the transparency may be increased in order from a location closer to the first object.

  According to the present invention, it is possible to generate an image in which wet sand gradually dries after white waves are drawn at the beach.

(6) In the image generation system, the program, and the information storage medium according to the present invention,
The first object setting processing unit
The height of each component point is adjusted based on the height adjustment parameter or depth information given to each component point.

  For example, the height adjustment parameter or depth information may be set in association with the constituent points of the first object. For example, the height adjustment parameter or depth information may be set for each constituent point, or the first object may be divided into a plurality of regions, and the height adjustment parameter or depth information may be set for each region. Also good. Then, the height adjustment parameter or the depth information may be determined depending on which region each constituent point belongs to.

  Adjusting the height of each component point based on the height adjustment parameter or depth information means that the amplitude parameter of the periodic function used when calculating the height of each component point based on the height adjustment parameter or depth information May be changed, or the same periodic function may be used to correct the height value obtained by the periodic function based on the height adjustment parameter or depth information.

  When adjusting the height of each component point based on height adjustment parameters or depth information, when the distance from the seabed is large (depth is large), compared to when the distance from the seabed is short (depth is small) Thus, the height of each component point in each frame may be calculated so that the change in height becomes small.

(7) In the image generation system, the program, and the information storage medium according to the present invention,
The first object setting processing unit
An area having a predetermined positional relationship with the virtual camera is set as a calculation area, and it is determined whether each constituent point of the first object belongs to the calculation area. It is characterized in that the processing for obtaining the thickness is omitted.

  Since the sea is wide, the difference in the y-coordinates of the distant points of the normal height wave is almost the same as the 2D screen coordinates and is acceptable as an error when perspective transformation is performed.

  Therefore, an area having a predetermined positional relationship with the virtual camera is set as a calculation area, and it is determined whether or not each constituent point of the first object belongs to the calculation area. You may make it abbreviate | omit the process which calculates | requires height.

  Here, the calculation area may be set according to the distance from the virtual camera, or may be set based on the view volume of the virtual camera or the projection area of the view volume on the XZ plane.

  According to the present invention, the calculation of the height of the distant part can be omitted, so that the calculation load can be reduced.

(8) The present invention also provides:
An image generation system for generating an image visible from a virtual camera in an object space,
A water surface object setting processing unit for performing processing for periodically changing the height of the constituent points of the water surface object for generating an image of the water surface with waves;
Let the computer function as a drawing unit that generates an image of an object space where a water surface object is set as seen from a virtual camera,
The water surface object setting processing unit
An area having a predetermined positional relationship with the virtual camera is set as a calculation area, and it is determined whether each constituent point of the first object belongs to the calculation area. The present invention relates to an image generation system characterized by omitting the process for obtaining the height.

  The present invention also relates to a program that causes a computer to function as each of the above-described units. The present invention also relates to a computer-readable information storage medium that stores (records) a program that causes a computer to function as each unit.

  Hereinafter, this embodiment will be described.

  In addition, this embodiment demonstrated below does not unduly limit the content of this invention described in the claim. In addition, all the configurations described in the present embodiment are not necessarily essential configuration requirements of the present invention.

1. Configuration FIG. 1 shows an example of a functional block diagram of an image generation system (game system) of the present embodiment. Note that the image generation system of this embodiment may have a configuration in which some of the components (each unit) in FIG. 1 are omitted.

  The operation unit 160 is for a player to input operation data, and the function can be realized by a lever, a button, a steering, a microphone, a touch panel display, a housing, or the like.

  The storage unit 170 includes a drawing buffer 172, a Z buffer 174, and a texture storage unit 176, and serves as a work area for the processing unit 100, the communication unit 196, and the like, and its functions can be realized by a RAM or the like.

  The texture storage unit 176 may store a texture that represents the water surface of the offshore sea and a texture that represents a white wave at the time of rippling.

  The information storage medium 180 (computer-readable medium) stores programs, data, and the like, and functions as an optical disk (CD, DVD), magneto-optical disk (MO), magnetic disk, hard disk, and magnetic tape. Alternatively, it can be realized by a memory (ROM). The processing unit 100 performs various processes of the present embodiment based on a program (data) stored in the information storage medium 180. That is, the information storage medium 180 stores (records and stores) a program for causing the computer to function as each unit of the present embodiment (a program for causing the computer to execute processing of each unit).

  The display unit 190 outputs an image generated according to the present embodiment, and its function can be realized by a CRT, LCD, touch panel display, HMD (head mounted display), or the like. The sound output unit 192 outputs the sound generated by the present embodiment, and its function can be realized by a speaker, headphones, or the like.

  The portable information storage device 194 stores player personal data, game save data, and the like. Examples of the portable information storage device 194 include a memory card and a portable game device.

  The communication unit 196 performs various controls for communicating with the outside (for example, a host device or other image generation system), and functions thereof are hardware such as various processors or a communication ASIC, It can be realized by a program.

  Note that a program (data) for causing a computer to function as each unit of this embodiment is distributed from the information storage medium of the host device (server) to the information storage medium 180 (storage unit 170) via the network and the communication unit 196. You may do it. Use of the information storage medium of such a host device (server) can also be included in the scope of the present invention.

  The processing unit 100 (processor) performs processing such as game processing, image generation processing, or sound generation processing based on operation data and programs from the operation unit 160. Here, as the game process, a process for starting a game when a game start condition is satisfied, a process for advancing the game, a process for placing an object such as a character or a map, a process for displaying an object, and a game result are calculated. There is a process or a process of ending a game when a game end condition is satisfied. The processing unit 100 performs various processes using the storage unit 170 as a work area. The functions of the processing unit 100 can be realized by hardware such as various processors (CPU, DSP, etc.), ASIC (gate array, etc.), and programs.

  The processing unit 100 includes an object space setting unit 110, a movement / motion processing unit 112, a virtual camera control unit 114, a first object setting processing unit 116, a second object setting processing unit 117, and a third object setting processing unit 118. A drawing unit 120 and a sound generation unit 130. Some of these may be omitted.

  The object space setting unit 110 is a variety of objects (objects composed of primitive surfaces such as polygons, free-form surfaces or subdivision surfaces) representing display objects such as characters, trees, cars, columns, walls, buildings, and maps (terrain). The process of setting the placement in the object space is performed. In other words, the position and rotation angle of the object in the world coordinate system (synonymous with direction and direction) are determined, and the rotation angle (rotation angle around the X, Y, and Z axes) is determined at that position (X, Y, Z). Arrange objects.

  The movement / motion processing unit 112 performs a movement / motion calculation (movement / motion simulation) of an object (such as a car, an airplane, or a character). In other words, an object (moving object) is moved in the object space or an object is moved based on operation data, a program (movement / motion algorithm), or various data (motion data) input by the player through the operation unit 160. Perform processing (motion, animation). Specifically, a simulation process for sequentially obtaining object movement information (position, rotation angle, speed, or acceleration) and motion information (position or rotation angle of each part object) every frame (1/60 second). I do. Here, the frame is a unit of time for performing object movement / motion processing (simulation processing) and image generation processing.

  The virtual camera control unit 114 performs a process of controlling the virtual camera for generating an image at a given (arbitrary) viewpoint in the object space. That is, a process for controlling the position (X, Y, Z) or the rotation angle (rotation angle about the X, Y, Z axes) of the virtual camera (process for controlling the viewpoint position and the line-of-sight direction) is performed.

  For example, when an object is photographed from behind using a virtual camera, the position or rotation angle (direction of the virtual camera) of the virtual camera is controlled so that the virtual camera follows changes in the position or rotation of the object. In this case, the virtual camera can be controlled based on information such as the position, rotation angle, or speed of the object obtained by the movement / motion processing unit 112. Alternatively, the virtual camera may be rotated at a predetermined rotation angle while being moved along a predetermined movement route. In this case, the virtual camera is controlled based on virtual camera data for specifying the position (movement path) and rotation angle of the virtual camera.

  The first object setting processing unit 116 performs processing for periodically changing the heights of the constituent points of the first object for the first object corresponding to the first region of the object whose shape changes. Do.

  The first object setting processing unit 116 may adjust the height of each constituent point based on the height adjustment parameter or depth information given to each constituent point.

  The first object setting processing unit 116 sets an area having a predetermined positional relationship with the virtual camera as a calculation area, determines whether or not each constituent point of the first object belongs to the calculation area, and if it does not belong If it is determined, the process for obtaining the height of each constituent point may be omitted.

  The second object setting processing unit 117 synchronizes with the height change period of the first object, and the second object corresponding to the second region of the object whose shape changes is applied to the first object. A process for periodically changing the position is performed.

  The second object setting processing unit 117 may determine the shape of the second object based on the shape of a predetermined area of the first object.

The second object setting processing unit 117
A process for periodically changing the transparency of the second object may be performed in synchronization with the height change period of the constituent points of the first object.

  The third object setting processing unit 118 synchronizes with the period of height change of the constituent points of the first object or the movement period of the second object, or with a delay for a predetermined time. Then, a process for periodically changing the position of the third object with respect to the first object is performed.

  The third object setting processing unit 118 synchronizes with the period of height change of the first object or the movement period of the second object, or with a predetermined time delay to synchronize with the third object. A process for periodically changing the transparency of the object is performed.

  The drawing unit 120 performs drawing processing based on the results of various processing (game processing) performed by the processing unit 100, thereby generating an image and outputting the image to the display unit 190.

  The drawing unit 120 functions as a drawing unit that draws an image of an object space in which the first object, the second object, and the third object are set as viewed from a virtual camera.

  The drawing unit 120 performs drawing processing based on the results of various processing (game processing) performed by the processing unit 100, thereby generating an image and outputting the image to the display unit 190. When generating a so-called three-dimensional game image, first, object data (model data) including vertex data (vertex position coordinates, texture coordinates, color data, normal vector, α value, etc.) of each vertex of the object (model) ) Is input, and vertex processing is performed based on the vertex data included in the input object data. When performing the vertex processing, vertex generation processing (tessellation, curved surface division, polygon division) for re-dividing the polygon may be performed as necessary. In vertex processing, geometry processing such as vertex movement processing, coordinate transformation (world coordinate transformation, camera coordinate transformation), clipping processing, perspective transformation, or light source processing is performed, and an object is configured based on the processing result. Change (update, adjust) the vertex data given for the vertex group. Then, rasterization (scan conversion) is performed based on the vertex data after the vertex processing, and the surface of the polygon (primitive) is associated with the pixel. Subsequent to rasterization, pixel processing (fragment processing) for drawing pixels constituting an image (fragments constituting a display screen) is performed. In pixel processing, various processes such as texture reading (texture mapping), color data setting / changing, translucent composition, anti-aliasing, etc. are performed to determine the final drawing color of the pixels that make up the image, and perspective transformation is performed. The drawing color of the object is output (drawn) to the drawing buffer 174 (buffer that can store image information in units of pixels; VRAM, rendering target). That is, in pixel processing, per-pixel processing for setting or changing image information (color, normal, luminance, α value, etc.) in units of pixels is performed. Thereby, an image that can be seen from the virtual camera (given viewpoint) set in the object space is generated. Note that when there are a plurality of virtual cameras (viewpoints), an image can be generated so that an image seen from each virtual camera can be displayed as a divided image on one screen.

  Note that the vertex processing and pixel processing performed by the drawing unit 120 are realized by hardware that enables polygon (primitive) drawing processing to be programmed by a shader program written in a shading language, so-called programmable shaders (vertex shaders and pixel shaders). May be. Programmable shaders can be programmed with vertex-level processing and pixel-level processing, so that the degree of freedom of rendering processing is high, and the expressive power can be greatly improved compared to fixed rendering processing by hardware. .

  The drawing unit 120 performs geometry processing, texture mapping, hidden surface removal processing, α blending, and the like when drawing an object.

  In the geometry processing, processing such as coordinate conversion, clipping processing, perspective projection conversion, or light source calculation is performed on the object. Then, object data (positional coordinates of object vertices, texture coordinates, color data (luminance data), normal vector, α value, etc.) after geometry processing (after perspective projection conversion) is stored in the main storage unit 172. The

  Texture mapping is a process for mapping a texture (texel value) stored in the texture storage unit 178 of the storage unit 170 to an object. Specifically, the texture (surface properties such as color (RGB) and α value) is read from the texture storage unit 178 of the storage unit 170 using the texture coordinates set (given) at the vertex of the object. Then, a texture that is a two-dimensional image is mapped to an object. In this case, processing for associating pixels with texels, bilinear interpolation or the like is performed as texel interpolation.

  In particular, in the present embodiment, a process of mapping a given texture may be performed when drawing the second object. In this case, the color distribution (texel pattern) of the texture mapped to the second object can be dynamically changed. In this case, textures having different color distributions may be dynamically generated, or a plurality of textures having different color distributions may be prepared in advance and the texture to be used may be dynamically switched. The texture color distribution may be changed in units of objects, or the texture color distribution may be changed in units of objects.

  As the hidden surface removal processing, hidden surface removal processing can be performed by a Z buffer method (depth comparison method, Z test) using a Z buffer (depth buffer) in which Z values (depth information) of drawing pixels are stored. . That is, when drawing pixels corresponding to the primitive of the object are drawn, the Z value stored in the Z buffer is referred to. Then, the Z value of the referenced Z buffer is compared with the Z value at the drawing pixel of the primitive, and the Z value at the drawing pixel is a Z value (for example, a small Z value) on the near side when viewed from the virtual camera. In some cases, the drawing process of the drawing pixel is performed and the Z value of the Z buffer is updated to a new Z value.

  α blending (α synthesis) is a translucent synthesis process (usually α blending, addition α blending, subtraction α blending, or the like) based on an α value (A value). For example, in normal α blending, a process for obtaining a color obtained by combining two colors by performing linear interpolation with the α value as the strength of synthesis is performed.

RQ = (1−α) × R1 + α × R2 (1)
GQ = (1−α) × G1 + α × G2 (2)
BQ = (1−α) × B1 + α × B2 (3)
Taking the case where the synthesis process is addition α blending as an example, the color synthesis unit 126 performs the α synthesis process according to the following equation.

RQ = R1 + α × R2 (4)
GQ = G1 + α × G2 (5)
BQ = B1 + α × B2 (6)
Taking the case where the composition processing is α multiplication as an example, the color composition unit 126 performs the α composition processing according to the following equation.

RQ = α × R1 (7)
GQ = α × G1 (8)
BQ = α × B1 (9)
Taking the case where the synthesis process is addition of α power as an example, the color synthesis unit 126 performs the α synthesis process according to the following equation.

RQ = α × R1 + R2 (7)
GQ = α × G1 + G2 (8)
BQ = α × B1 + B2 (9)
Here, R1, G1, and B1 are R, G, and B components of the color (luminance) of an image (background image) that has already been drawn in the drawing buffer 172, and R2, G2, and B2 are in the drawing buffer 172. The R, G, and B components of the color of the object (primitive) to be drawn. RQ, GQ, and BQ are R, G, and B components of the color of an image obtained by α blending. The α value is information that can be stored in association with each pixel (texel, dot), for example, plus alpha information other than color information. The α value can be used as mask information, translucency (equivalent to transparency and opacity), bump information, and the like.

  The α value is information that can be stored in association with each pixel (texel, dot), and is, for example, plus alpha information other than color information indicating the luminance of each RGB color component. The α value can be used as mask information, translucency (equivalent to transparency and opacity), bump information, and the like.

  The sound generation unit 130 performs sound processing based on the results of various processes performed by the processing unit 100, generates game sounds such as BGM, sound effects, or sounds, and outputs the game sounds to the sound output unit 192.

  Note that the image generation system of the present embodiment may be a system dedicated to the single player mode in which only one player can play, or may be a system having a multiplayer mode in which a plurality of players can play. Further, when a plurality of players play, game images and game sounds to be provided to the plurality of players may be generated using one terminal, or connected via a network (transmission line, communication line) or the like. Alternatively, it may be generated by distributed processing using a plurality of terminals (game machine, mobile phone).

2. Wave Image Generation FIG. 2 is an example of an image of the sea surface of the present embodiment. 10 is the offshore sea surface (first region), and 20 is the sea surface (second region) at the beach. On the offshore sea surface (first region) 10, the water surface rises and falls due to waves, and on the sea surface (second region) 20 on the seashore, white waves with white bubbles move toward and away from the beach 30.

  In the present embodiment, a first object is set corresponding to the offshore sea surface (first region) 10 and a second object is set corresponding to the sea surface (second region) 20 at the time of undulation.

  FIG. 3 (A) is an example of an image when a wave comes along at the time of waving. As shown in the figure, when a wave approaches, an image in which the white wave 20 extends longer toward the sandy beach is generated.

  FIG. 3B is an example of an image when a wave is drawn from the beach. As shown in the figure, when the wave is drawn, an image is generated in which the length of the white wave 20 is shortened and moves away to the offing.

  FIG. 4 is a diagram for explaining the first object of the present embodiment.

  In the present embodiment, the first object in each frame is calculated by calculating the height of each component point that changes periodically based on the planar function of the component point of the first object and the periodic function having time as arguments. Determine the shape. Hereinafter, a specific example of determining the wave shape of the first object in the present embodiment will be described.

  When the height at the time t of the constituent point (i, j) of the wave mesh (which may be a lattice point, for example) for generating a plane wave is y, it can be expressed by the following equation.

  The periodic function is specified as a composite function of a plurality of periodic functions (for example, trigonometric functions) specified by k = 1 to Kmax. The amplitude parameter Ak represents the wave height of the wave component, the wavelength parameter nk represents the wave number (integer) in the i direction and the traveling direction with respect to the i direction component, and the wavelength parameter mk represents the wave number (integer) in the j direction and the traveling direction with respect to the j direction component. Represents.

  A wave shape in a Cartesian coordinate system (orthogonal coordinate system) generated by a periodic function will be described.

  For example, if the periodic function is configured as a combined function of three periodic functions, a periodic function W0 (210) with k = 0, a periodic function W1 (220) with k = 1, and a periodic function W2 (230) with k = 2. To do.

  A periodic function W0 (210) of k = 0 is a periodic function of a wavelength parameter nk = 0 and a wavelength parameter mk = 1, and represents a wave having only a j-direction component as indicated by 212.

  A periodic function W1 (220) with k = 1 is a periodic function with a wavelength parameter nk = 2 and a wavelength parameter mk = 0, and represents a wave having only an i-direction component as indicated by 222.

  A periodic function W2 (230) of k = 2 is a periodic function of a wavelength parameter nk = 1 and a wavelength parameter mk = 2, and represents a wave having an i-direction component and an i-direction component as indicated by 232.

  A wave 240 is identified by a combined function of three periodic functions: a periodic function W0 (210) having a periodic function k = 0, a periodic function W1 (220) having k = 1, and a periodic function W2 (230) having k = 2. The shape is shown.

  Reference numeral 250 represents a constituent point (i, j) in a Cartesian coordinate system (orthogonal coordinate system). The y coordinate of each constituent point (i, j) is obtained by the above mathematical formula (1), and the shape of the wave object as indicated by 240 is specified.

  FIG. 5 is a diagram showing a state of the first object generated by the component points and the periodic function.

  FIG. 6 is a diagram schematically showing the relationship between the first object and the second object.

  In the present embodiment, the position of the second object 20 corresponding to the second region with respect to the first object 10 is synchronized with the height change period of the constituent points (for example, vertices) of the first object 10. Change.

  FIG. 7 is a diagram for explaining the period of change in height of the constituent points of the first object and the period of movement of the second object.

  10-1 to 10-4 are periodic functions (here, flower land) indicating a temporal change in the height y of a given constituent point (here, the end point (xi, yj) of the first object). For the sake of simplicity, only the change in the Z direction is shown). Reference numerals 12-1 to 12-4 indicate temporal changes in the height y of a given constituent point (here, the end point (xi, yj) of the first object).

  20-2 to 20-4 indicate temporal changes in the arrangement of the second object, and 22-1 to 22-4 indicate temporal changes in the position of the representative point of the second object. ing.

  The height of the end point (xi, yj) of the first object (the edge closer to the wave or the edge closer to the second object) changes according to the periodic function 10. The periodic function 10 generates a wave (see 40) having a predetermined amplitude and period and traveling in the left direction.

  12-1 is the case where the height of the end point (xi, yj) of the first object is at the average point, and the height of the rear end point (xi, yj) gradually increases according to the waveform of the periodic function 10. The highest point is reached at 2, and the height of the end point (xi, yj) gradually decreases according to the waveform of the periodic function 10, returns to the average point at 12-3, and reaches the lowest point at 12-4.

  That is, 12-1 to 12-4 represent a change in the height of the end point (xi, yj) in a given period.

  12-1 represents the state of the second object when the end point (xi, yj) of the first object is 12-1, and 22-1 represents the position of the representative point of the second object at this time. is there.

  12-2 represents the state of the second object when the end point (xi, yj) of the first object is 12-2, and 22-2 represents the position of the representative point of the second object at this time. is there.

  12-3 represents the state of the second object when the end point (xi, yj) of the first object is 12-3, and 22-3 represents the position of the representative point of the second object at this time. is there.

  12-4 represents the state of the second object when the end point (xi, yj) of the first object is 12-4, and 22-4 represents the position of the representative point of the second object at this time. is there.

  For example, when the height of the end point (xi, yj) of the first object is at the average point (12-1), the second object is arranged at the reference position (see 20-1), and then the first object As the height of the end point (xi, yj) of the first object gradually increases, it moves in the direction away from the first object (see 50), and the height of the end point (xi, yj) of the first object is the highest point. (12-2), it is arranged at the position farthest from the first object (see 20-2), and then the height of the end point (xi, yj) of the first object gradually decreases. When the height of the end point (xi, yj) of the first object reaches the lowest point (12-4), it moves in the direction approaching the first object (see 52, 54). You can make it close (See 20-4).

  That is, the position of the second object moves back and forth between 22-1 to 22-4 in synchronization with the height cycle of the constituent points of the first object.

  The positional relationship between the end point height of the first object and the second object is not limited to the case where the second object is separated when the end point height is high.

  When the width of the first object is an integral multiple of the wavelength of the wave and when it is 0.5 (for example, 1.5 times), the width can be set as appropriate according to the width of the first object and the wavelength of the wave. For example, the second object may be separated when the height of the end point is low.

  As shown in FIG. 2, the sea surface is divided into a first area and a second area, the first area is configured as a first object, the second area is configured as a second object, Motivates the period of change in the height of the object's object point and the movement period of the second object, and realistically represents the movement of waves traveling offshore off and on the beach with less computational load be able to.

  FIG. 8 is a diagram for explaining the adjustment of the height of the end point of the first object. The height of the constituent points of the first object changes periodically between the highest point and the lowest point according to a predetermined periodic function. Here, the height of the constituent point (end point) positioned on the end line on the second object side of the first object can also be obtained by such a periodic function. However, since the vicinity of the end point is a portion corresponding to the boundary between the first object and the second object, the height may be fixed to a predetermined value (for example, an average point). By doing in this way, the malfunction by the height of a joint going up and down can be prevented.

  Specifically, when the end point is 12-2, correction is made so that the position is 0 (12'-1), and the waveform of the predetermined section 14 is corrected so that the change in height smoothly shifts.

  Further, when the end point is 12-4, correction is made so as to come to the position of 0 (12'-4), and the waveform of the predetermined section 15 is corrected so that the change in height smoothly shifts.

  In addition to this, when the height of the end point is other than 0, correction is made so as to come to the position of 0, and the waveform of the corresponding predetermined section is corrected so that the change in height smoothly shifts.

  Next, a method for determining the shape of the second object will be described.

  The shape of the second object may be, for example, a plate-like object, or the shape of the second object at a given time is determined based on the shape of a predetermined area of the first object at a given time. It may be.

  For example, in FIG. 6, the shape of the second object may be determined based on the shape of a predetermined area 60 including the end line 62 that overlaps the second object of the first object 10. For example, the shape of the predetermined area 60 may be adopted as the second object.

  FIG. 9 is a diagram for explaining a method for determining the shape of the second object according to the present embodiment.

  In the present embodiment, the shape of the first object changes with time based on a periodic function. For example, 310-1 represents the shape (change in height) of a given YZ cross section (point of x = a) at the game time t1. At this time, the shape (change in height) 320-1 of the given YZ section (point of x = a) of the second object is the same as the shape 310-1 of the first object of the given section 300. Become.

  Further, for example, 310-2 represents the shape (change in height) of a given YZ cross section (x = a point) at the game time t2. Here, 310-2 is a waveform when the value of the end point is corrected to zero. At this time, the shape (change in height) 320-2 of the given YZ section (point of x = a) of the second object is the same as the shape 310-2 of the first object of the given section 300. Become.

  Further, for example, 310-3 represents the shape (change in height) of a given YZ cross section (x = a point) at the game time t3. At this time, the shape (change in height) 320-3 of the given YZ section (point of x = a) of the second object is the same as the shape 310-3 of the first object of the given section 300. Become.

  Further, for example, 310-4 represents the shape (change in height) of a given YZ cross section (x = a point) at the game time t4. Here, 310-4 is a waveform when the value of the end point is corrected to zero. At this time, the shape (change in height) 320-4 of the given YZ cross section (point of x = a) of the second object is the same as the shape 310-4 of the first object of the given section 300. Become.

  10A and 10B are examples of the first texture and the second texture of the present embodiment.

  FIG. 10A shows a first texture mapped to the first object, which is a pattern of the seawater surface (liquid surface away from the beach) other than the beach including the offing.

  FIG. 10B is a second texture that is mapped to the second object, and is a pattern of the seawater surface (white wave that was a bubble at the time of rippling).

  Note that an image as shown in FIGS. 10A and 10B in which color information is generated in real time for each pixel may be generated without preparing a texture image in advance.

  FIG. 11 is a diagram for explaining the relationship between the period of change in height of the constituent points of the first object or the period of movement of the second object and the period of movement of the third object.

  The change in the height of the constituent points of the first object (10-1 to 10-4) and the movement of the second object (20-1 to 20-4) are as described in FIG.

  Reference numerals 30-1 to 30-4 indicate temporal changes in the arrangement of the third object, and 32-1 to 32-4 indicate temporal changes in the positions of the representative points of the second object. ing.

  12-1 represents the state of the second object when the end point (xi, yj) of the first object is 12-1, and 22-1 represents the position of the representative point of the second object at this time. Yes, 32-1 is the position of the representative point of the third object at this time.

  12-2 represents the state of the second object when the end point (xi, yj) of the first object is 12-2, and 22-2 represents the position of the representative point of the second object at this time. Yes, 32-2 is the position of the representative point of the third object at this time.

  12-3 represents the state of the second object when the end point (xi, yj) of the first object is 12-3, and 22-3 represents the position of the representative point of the second object at this time. Yes, 32-3 is the position of the representative point of the third object at this time.

  12-4 represents the state of the second object when the end point (xi, yj) of the first object is 12-4, and 22-4 represents the position of the representative point of the second object at this time. 32-4 is the position of the representative point of the third object at this time.

  For example, when the height of the end point (xi, yj) of the first object is at the average point (12-1), the third object is arranged at the reference position (see 32-1), and then the first object As the height of the end point (xi, yj) gradually increases, it moves in a direction away from the first object (see 50), and the height of the end point (xi, yj) of the first object becomes the highest point. When it reaches (12-2), it is arranged at the position farthest from the first object (see 30-2), and after that, the height of the end point (xi, yj) of the first object gradually decreases. Moves in a direction approaching one object (see 52 and 54), and is closest to the first object when the height of the end point (xi, yj) of the first object reaches the lowest point (12-4) It may be arranged in the place (See 30-4).

  The position of the third object moves back and forth between 32-1 to 32-4 in synchronization with the height cycle of the constituent points of the first object.

  Further, the position of the third object is synchronized with a predetermined time delay with respect to the height of the constituent points of the first object, and is moved back and forth between 32-1 and 32-4. Also good.

  Further, the position of the third object may be moved back and forth between 32-1 to 32-4 in synchronization with the movement cycle of the position of the second object.

  The position of the third object may be moved back and forth between 32-1 and 32-4 in synchronization with the movement cycle of the position of the second object with a predetermined delay.

  The positional relationship between the height of the end point of the first object and the third object is not limited to the case where the third object is separated when the height of the end point is high.

  When the width of the first object is an integral multiple of the wavelength of the wave and when it is 0.5 (for example, 1.5 times), the width can be set as appropriate according to the width of the first object and the wavelength of the wave. For example, the third object may be separated when the height of the end point is low.

  As described above, in the present embodiment, each frame is synchronized with the period of the height change of the first object or the movement period of the second object, or is synchronized with any one of them with a predetermined time delay. You may make it determine the position of the 3rd object corresponding to the topography of the 2nd area | region of the liquid surface with a wave.

  By preparing an object (such as a plate-like object) with a texture representing the wet state of the sandy beach as the third object, it is synchronized with the second object or with a slight delay, It is possible to generate an image in which the wet sand is moving in time with white waves.

  12A to 12C are diagrams illustrating an example of an image using the third object.

  FIG. 12 (A) is an example of an image when a wave comes upon the wave. As shown in the figure, when a wave comes in, an image in which white waves extend longer toward the sandy beach is generated.

  FIG. 12B is an example of an image when a wave is drawn from the beach. As shown in the figure, when the wave is drawn, the length of the white wave 520 is shortened and moves away from the sea, and after the white wave 520 is drawn, an image of the sand 530 wetted by the white wave 520 is generated. The This can be realized, for example, by preparing an object (for example, a plate-like object) that maps a texture representing a wet state of a sandy beach as the third object.

  In FIG. 12C, after the white wave 520 is drawn, an image is generated in which the sand 530 wet by the white wave 520 is dried (see 540).

  Here, for example, the transparency (α value) of the third object mapping the texture representing the wet state of the sand beach is synchronized with the period of the height change of the first object or the movement period of the second object, or This can be realized by periodically changing the transparency of the third texture by delaying to any one of them for a predetermined time.

  For example, when drawing with semi-transparent addition based on the α value, the transparency becomes lower and the color becomes darker by bringing the α value closer to 1, so that the sand is wet. Conversely, by bringing the α value closer to 0, the transparency becomes higher and the color becomes lighter, so that it is possible to express how the sand is dry.

  Therefore, by changing the transparency of the third texture periodically in synchronization with the period of the height change of the first object or the movement period of the second object, the white wave is shifted or subtracted. Or, it is possible to express that the sand after the white wave has been wet a little later and the state of drying over time is repeated.

  FIG. 13 is a diagram for explaining the adjustment of the height of the constituent points of the object.

  In the present embodiment, height adjustment parameters or depth information are set in association with the constituent points of the first object. For example, the height adjustment parameter or depth information may be set for each component point, or the first object may be divided into a plurality of regions and the height adjustment parameter or depth information may be set for each region. Good. Then, the height adjustment parameter or the depth information may be determined depending on which region each constituent point belongs to.

  Based on the height adjustment parameter or depth information, the amplitude parameter of the periodic function used when calculating the height of each component point may be changed, and the periodic function is a periodic function using the same function. You may make it correct | amend based on a height adjustment parameter or depth information with respect to the obtained height value.

  When adjusting the height of each component point based on height adjustment parameters or depth information, when the distance from the seabed is large (depth is large), compared to when the distance from the seabed is short (depth is small) Thus, the height of each component point in each frame may be calculated so that the change in height becomes small.

  For example, P1 is a constituent point located offshore, and it is assumed that a distance L1 to the seabed at the point is set as a height adjustment parameter or depth information. Further, P2 is a component point located near the beach, and it is assumed that a distance L2 to the seabed at the point is set as a height adjustment parameter or depth information. In this case, since the distance to the sea floor is shorter than that at the offshore (since L1> L2), the change in height of P1 is smaller than that of P2.

  FIG. 14 is a diagram for explaining omission of the calculation of the height of the constituent points of the object.

  Because the sea is wide, the difference in the y-coordinate of the distant point of the normal height wave is almost the same as the 2D screen coordinate and is allowed as an error when it is perspective-transformed at a distance of a predetermined distance r or more from the virtual camera 610 It is a possible range.

  Therefore, an area having a predetermined positional relationship with the virtual camera (here, within the radius r from the virtual camera) is set as the calculation area 620, and it is determined whether each constituent point of the first object belongs to the calculation area. If it is determined that they do not belong, the process for obtaining the height of each component point may be omitted.

  Accordingly, the height is calculated for the constituent points of the sea surface portion 630 belonging to the calculation area 620, but the height calculation is omitted for the constituent points of the sea surface portion 640 not belonging to the calculation area 620.

  Here, the calculation area is set according to the distance from the virtual camera. However, the calculation area may be set based on, for example, a view volume or a projection area of the view volume onto the XZ plane. In this way, the calculation of the height can be omitted for the component points that are not within the drawing range even if the distance from the virtual camera is short.

  Further, the present invention is not limited to the case where the sea image is generated using the first object and the second object. For example, the sea image may be generated using only the first object.

  According to the present embodiment, the calculation of the height is omitted for the distant part, so that the calculation load can be reduced.

3. Processing in the present embodiment In the present embodiment, the following processing is performed for each frame.

  FIG. 15 is a flowchart for explaining the flow of the sea surface image generation processing according to the present embodiment.

  Next, for the first object corresponding to the first region of the object whose shape changes, a process for periodically changing the height of the constituent point of the first object is performed (step S10).

  For the constituent points at the end of the first object, the height may be corrected to the reference point as described in FIG.

  Next, based on the shape of the predetermined area of the first object of the frame, the shape of the second object of the frame is determined (step S20).

Next, in synchronization with the height change cycle of the first object, the position of the second object corresponding to the second region of the object whose shape changes is changed periodically with respect to the first object. Processing is performed (step S30).
Next, a process for periodically changing the transparency of the second object is performed in synchronization with the height change period of the constituent points of the first object (step S40).

  Next, in synchronization with the period of the height change of the constituent points of the first object or the movement period of the second object, or after being delayed by a predetermined time, the first of the third object is synchronized with the first object. Processing for periodically changing the position of one object is performed (step S50).

  Next, the transparency of the third object is periodically synchronized with the period of the height change of the first object or the movement period of the second object, or with a delay of a predetermined time. Processing for changing is performed (step S60).

  And the image which looked at the object space where the 1st object, the 2nd object, and the 3rd object were set from the virtual camera is generated (Step S70).

4). Hardware Configuration FIG. 16 shows an example of a hardware configuration that can realize this embodiment. The main processor 900 operates based on a program stored in a CD 982 (information storage medium), a program downloaded via the communication interface 990, a program stored in the ROM 950, or the like, and includes game processing, image processing, sound processing, and the like. Execute. The coprocessor 902 assists the processing of the main processor 900, and executes matrix operation (vector operation) at high speed. For example, when a matrix calculation process is required for a physical simulation for moving or moving an object, a program operating on the main processor 900 instructs (requests) the process to the coprocessor 902.

  The geometry processor 904 performs geometry processing such as coordinate conversion, perspective conversion, light source calculation, and curved surface generation based on an instruction from a program operating on the main processor 900, and executes matrix calculation at high speed. The data decompression processor 906 performs decoding processing of compressed image data and sound data, and accelerates the decoding processing of the main processor 900. Thereby, a moving image compressed by the MPEG method or the like can be displayed on the opening screen or the game screen.

  The drawing processor 910 executes drawing (rendering) processing of an object composed of primitive surfaces such as polygons and curved surfaces. When drawing an object, the main processor 900 uses the DMA controller 970 to pass the drawing data to the drawing processor 910 and, if necessary, transfers the texture to the texture storage unit 924. Then, the drawing processor 910 draws the object in the frame buffer 922 while performing hidden surface removal using a Z buffer or the like based on the drawing data and texture. The drawing processor 910 also performs α blending (translucent processing), depth cueing, mip mapping, fog processing, bilinear filtering, trilinear filtering, anti-aliasing, shading processing, and the like. When an image for one frame is written in the frame buffer 922, the image is displayed on the display 912.

  The sound processor 930 includes a multi-channel ADPCM sound source and the like, generates game sounds such as BGM, sound effects, and sounds, and outputs them through the speaker 932. Data from the game controller 942 and the memory card 944 is input via the serial interface 940.

  The ROM 950 stores system programs and the like. In the case of an arcade game system, the ROM 950 functions as an information storage medium, and various programs are stored in the ROM 950. A hard disk may be used instead of the ROM 950. The RAM 960 is a work area for various processors. The DMA controller 970 controls DMA transfer between the processor and the memory. The CD drive 980 accesses a CD 982 in which programs, image data, sound data, and the like are stored. The communication interface 990 performs data transfer with the outside via a network (communication line, high-speed serial bus).

  The processing of each unit (each unit) in this embodiment may be realized entirely by hardware, or may be realized by a program stored in an information storage medium or a program distributed via a communication interface. Also good. Alternatively, it may be realized by both hardware and a program.

  When the processing of each part of this embodiment is realized by both hardware and a program, a program for causing the hardware (computer) to function as each part of this embodiment is stored in the information storage medium. More specifically, the program instructs the processors 902, 904, 906, 910, and 930, which are hardware, and passes data if necessary. Each processor 902, 904, 906, 910, 930 realizes the processing of each unit of the present invention based on the instruction and the passed data.

  The present invention is not limited to that described in the above embodiment, and various modifications can be made.

  For example, terms (α values / luminance, gradient patterns, polygons, etc.) cited as broad or synonymous terms (texel values, texel value patterns, primitive surfaces, etc.) in the description or drawings are described in the specification or In other descriptions in the drawings, terms can be replaced with terms having a broad meaning or the same meaning.

  In the invention according to the dependent claims of the present invention, a part of the constituent features of the dependent claims can be omitted. Moreover, the principal part of the invention according to one independent claim of the present invention can be made dependent on another independent claim.

  Also, the texture mapping process is not limited to that described in the present embodiment, and a conversion process equivalent to these is also included in the scope of the present invention. The present invention can be applied to various games. Further, the present invention is applied to various image generation systems such as a business game system, a home game system, a large attraction system in which a large number of players participate, a simulator, a multimedia terminal, a system board for generating a game image, and a portable terminal. it can.

The functional block diagram of the image generation system of this embodiment. It is an example of the image of the sea surface of this Embodiment. 10 is offshore sea level (first territory FIG. 3A is an example of an image when a wave comes along at the time of undulation, and FIG. 3B is an example of an image when a wave is drawn from the shore of the wave. It is a figure for demonstrating the 1st object of this Embodiment. It is the figure which showed the mode of the 1st object produced | generated by a composing point and a periodic function. FIG. 4 is a diagram schematically showing a relationship between a first object and a second object. FIG. 7 is a diagram for explaining the period of change in height of the constituent points of the first object and the period of movement of the second object. It is a figure for demonstrating adjustment of the height of the end point of a 1st object. It is a figure for demonstrating the determination method of the shape of the 2nd object of this Embodiment. 10A and 10B are examples of the first texture and the second texture of the present embodiment. It is a figure for demonstrating the relationship between the period of the change of the height of the structural point of a 1st object, or the period of a movement of a 2nd object, and the period of a movement of a 3rd object. 12A to 12C are diagrams illustrating an example of an image using the third object. It is a figure for demonstrating adjustment of the height of the structural point of an object. It is a figure for demonstrating omission of the calculation of the height of the structural point of an object. It is a flowchart figure for demonstrating the flow of the image generation process of the sea surface of this Embodiment. It is a hardware structural example.

Explanation of symbols

100 processing unit, 110 object space setting unit, 112 movement / motion processing unit, 114 virtual camera control unit, 116 first object setting processing unit, 117 second object setting processing unit, 118 third object setting processing unit, 120 drawing unit, 122 hidden surface removal unit, 124 texture mapping unit, 126 α synthesis unit, 130 sound generation unit, 160 operation unit, 170 storage unit, 172 drawing buffer, 174 Z buffer, 176 texture storage unit, 180 information storage medium 190 Display unit 192 Sound output unit 194 Portable information storage device 196 Communication unit

Claims (9)

A program for generating an image visible from a virtual camera in an object space,
A first object setting processing unit that performs processing for periodically changing the height of the constituent points of the first object for the first object corresponding to the first region of the object whose shape changes;
Processing for periodically changing the position of the second object corresponding to the second region of the object whose shape changes in synchronization with the height change cycle of the first object relative to the first object A second object setting processing unit for performing
A drawing unit that generates an image of an object space in which the first object and the second object are set as seen from a virtual camera;
A program that causes a computer to function. In claim 1,
The second object setting processing unit
A program for determining a shape of a second object based on a shape of a predetermined area of the first object. In any one of Claims 1 thru | or 2.
The second object setting processing unit
A program for performing processing for periodically changing the transparency of a second object in synchronization with a cycle of height change of constituent points of the first object. In any one of Claims 1 thru | or 3,
Different from the object whose shape changes by synchronizing with the period of height change of the constituent points of the first object or the movement period of the second object, or by synchronizing with either of them for a predetermined time delay A third object setting processing unit for performing processing for periodically changing the position of the third object corresponding to the object with respect to the first object;
The drawing unit
A program for generating an image in which an object space in which a third object is set together with a first object and a second object is viewed from a virtual camera. In claim 4,
The third object setting processing unit
The transparency of the third object is periodically synchronized with the period of the height change of the constituent points of the first object or the period of movement of the second object, or with a delay of a predetermined time. A program characterized in that it performs processing for changing to In any one of Claims 1 thru | or 5 ,
The first object setting processing unit
A program for adjusting the height of each component point based on a height adjustment parameter or depth information given to each component point. In any one of Claims 1 thru | or 6 .
The first object setting processing unit
An area having a predetermined positional relationship with the virtual camera is set as a calculation area, and it is determined whether each constituent point of the first object belongs to the calculation area. A program characterized by omitting the process of obtaining the size. A computer-readable information storage medium, wherein the program according to any one of claims 1 to 7 is stored. An image generation system for generating an image visible from a virtual camera in an object space,
A first object setting processing unit that performs processing for periodically changing the height of the constituent points of the first object for the first object corresponding to the first region of the object whose shape changes;
Processing for periodically changing the position of the second object corresponding to the second region of the object whose shape changes in synchronization with the height change cycle of the first object relative to the first object A second object setting processing unit for performing
A drawing unit that generates an image of an object space in which the first object and the second object are set as seen from a virtual camera;
An image generation system comprising:

Images