JP2001052200A - Image generation system and information storage medium - Google Patents

Abstract

PROBLEM TO BE SOLVED: To provide an image generation system with which the form of a model object can be really deformed with a little motion bones and an information storage medium. SOLUTION: The positions and rotating angles of motion bones BM19 and BM20 are found to the basis of motion data and the position and rotating angle of a support bone (bone for supporting the deformation of the model object) BS6 are found on the basis of the positions and rotating angles of BM19 and BM20. Then, the model object is deformed so as to follow BM19, BM20 and BS6. The support bone BS6 is directed toward an X axis, to which the motion bone BM19 is directed, and the support bone BS6 is rotated at a rotating angle α1 corresponding to a rotating angle α2 of the motion bone BM20 around the X axis. The coordinate transformation matrix of the support bone BS6 is found by using the coordinate transformation matrix of the motion bones BM19 and BM20. A part GVW (attached object paired with GVH attached to BM20) of a glove attached to the motion bone BM19 is made to follow the support bone BS6 in place of the motion bone BM19.

Description

DETAILED DESCRIPTION OF THE INVENTION

[0001]

[0001] The present invention relates to an image generation system and an information storage medium.

[0002]

2. Description of the Related Art Conventionally, there has been known an image generation system for generating an image which can be viewed from a given viewpoint in an object space which is a virtual three-dimensional space. It is popular as an experience. Taking an image generation system that can enjoy a martial arts game as an example, a player (operator) operates a character and enjoys the game by playing against another player or a character operated by a computer.

In such an image generation system, generating a more realistic image is an important technical problem in order to improve the virtual reality of the player. Therefore,
It is also desired that the motion of the character can be expressed more realistically. In the conventional image generation system, motion data of a character is created by a technique called motion capture.

That is, in this motion capture, sensors are attached to typical 15 to 20 joints (knees, elbows, etc.) of a real person, and the person performs various actions.
Then, the position and the rotation angle of the joint during the performance are detected at regular intervals (for example, 1/60 second) by the above-described sensor, thereby creating motion data of the character. By creating the motion data of the character by such motion capture, the movement of the character can be made closer to the movement of a real person, and the virtual reality of the player can be improved.

In motion capture, the number of joints to which a sensor can be attached is about 20 (40 even when an optical sensor is used) due to the size of the sensor and the number of wires drawn from the sensor. Degree) is the limit.

However, in recent image generation systems,
Its processing capability is dramatically improved, and it is possible to process a much larger number of polygons (primitive surfaces) and vertices than in the past. For this reason, there is a problem that a realistic shape deformation of the character cannot be realized with such a small number of joints.

Further, the number of motion data already captured by motion capture is enormous, and it is desired that the assets of such already captured motion data can be effectively used.

SUMMARY OF THE INVENTION The present invention has been made in view of the above-described problems, and has as its object to provide an image generation system capable of realizing a model object's realistic shape deformation with a limited number of motion bones. An object of the present invention is to provide an information storage medium.

[0009]

According to one aspect of the present invention, there is provided an image generating system for generating an image, comprising: a position or rotation of a motion bone including first and second motion bones; Means for determining the angle based on the motion data; and the position or rotation angle of the auxiliary bone for assisting the deformation of the model object by the motion bone, the position or rotation angle of the first motion bone and the position or rotation of the second motion bone. It is characterized by including means for obtaining based on the angle and means for deforming the model object so as to follow a change in the position or rotation angle of the motion bone or the auxiliary bone. Further, an information storage medium according to the present invention is an information storage medium that can be used by a computer, and includes information (a program or data or the like) for realizing (executing) the above means. The program according to the present invention is a program usable by a computer (including a program embodied in a carrier wave),
It is characterized by including a processing routine for realizing (executing) the above means.

According to the present invention, the positions and rotation angles of the first and second motion bones are obtained based on the motion data. Further, the position and rotation angle of the auxiliary bone are determined based on the position and rotation angle of the first and second motion bones. Then, the model object is deformed so as to follow these first and second motion bones and auxiliary bones (for example, the vertices of the model object move).
As described above, according to the present invention, in addition to the motion bones uniquely corresponding to the motion data, auxiliary bones for assisting the deformation of the model object by the motion bones are set. That is, the position and rotation angle of the auxiliary bone that moves differently from the motion bone are obtained in real time, and the model object is deformed so as to follow the movement of the auxiliary bone. Therefore, even when the number of motion bones is limited to a predetermined number due to the limitation of the number of sensors in the motion capture, the model object can be realistically and naturally deformed using the auxiliary bone. become. As a result, it is possible to generate a high-quality image by making the most of the drawing capability of the image generation system.

Further, according to the present invention, the position and the rotation angle of the auxiliary bone are changed under the influence of not only the first motion bone but also the second motion bone. Therefore, for example, the auxiliary bone is rotated around the L-axis to follow the rotation of the second motion bone, and the auxiliary bone is rotated around the M-axis so as to follow the rotation of the first motion bone. It can be rotated. Accordingly, it is possible to deform the model object that cannot be realized only by the first and second motion bones.

[0012] The image generation system, the information storage medium and the program according to the present invention may be arranged such that the auxiliary bone is directed in the direction of the L-axis along the direction in which the first motion bone is directed, and that the auxiliary bone is rotated around the L-axis. The auxiliary bone is rotated at a rotation angle obtained by using the rotation angle of the second motion bone. By doing so, it is possible to rotate the auxiliary bone around the L-axis so as to follow the rotation of the second motion bone. Therefore, for example, if the first accompanying object accompanying the first motion bone is made to follow this auxiliary bone, the second accompanying object is rotated around the L-axis.
It is possible to rotate the first accompanying object so as to follow the motion bone of the first, and to rotate the first accompanying object around the axis other than the L-axis to follow the first motion bone. .

The image generation system, the information storage medium, and the program according to the present invention determine the first column of the coordinate transformation matrix of the auxiliary bone based on the first column of the first motion bone coordinate transformation matrix, and Based on the interpolation calculation using the J-th column of the coordinate conversion matrix of the motion bone and the normalization calculation for orthogonalizing the vectors of the I, J, and K columns of the coordinate conversion matrix of the auxiliary bone with each other. , The J-th column and the K-th column of the coordinate transformation matrix are obtained. With this configuration, the auxiliary bone can be directed in the direction of the axis facing the first motion bone, and the auxiliary bone can be rotated around this axis at a rotation angle obtained by the rotation angle of the second motion bone. Become. As the coordinate conversion matrix, for example, a coordinate conversion matrix for a world coordinate system can be considered. In addition, the interpolation calculation is performed using the J-th column of the initial state coordinate transformation matrix of the auxiliary bone (for example, the coordinate transformation matrix obtained based on the initial state information included in the model data) and the J-th column of the coordinate transformation matrix of the second motion bone. This may be performed using columns, or may be performed using the J-th column of the initial state bone transformation matrix and the J-th column of the second motion bone transformation matrix.

Further, the image generation system, the information storage medium, and the program according to the present invention are characterized in that the model object is deformed based on the following degree coefficient for the motion bone and the following degree coefficient for the auxiliary bone. In this way, by changing the specification of the following degree coefficient (weighting coefficient), the model object can be deformed into various shapes, and the degree of deformation of the model object can be increased.

Further, the image generation system, the information storage medium, and the program according to the present invention cause the first accompanying object accompanying the first motion bone to follow the auxiliary bone instead of the first motion bone. Features. This makes it possible to move the first accompanying object so as to follow not only the position and the rotation angle of the first motion bone but also the change of the position and the rotation angle of the second motion bone. .

Further, the image generation system, the information storage medium, and the program according to the present invention, wherein the first accompanying object is an accompanying object that forms a pair with the second accompanying object accompanying the second motion bone. Features. In this way, the first and second accompanying objects can be moved as a unit, and a more natural and realistic image can be generated.

[0017]

Preferred embodiments of the present invention will be described below with reference to the drawings. In the following, the present invention will be described using a case where the present invention is applied to a fighting game as an example.
The present invention is not limited to this, and can be applied to various games.

1. Configuration FIG. 1 shows an example of a block diagram of the present embodiment. In this figure, the present embodiment only needs to include at least the processing unit 100 (or may include the processing unit 100 and the storage unit 140 or the processing unit 100 and the storage unit 140 and the information storage medium 150), and other blocks. (For example, the operation unit 13
0, image generation unit 160, display unit 162, sound generation unit 17
0, sound output unit 172, communication unit 174, I / F unit 176,
The memory card 180 and the like can be optional components.

The processing unit 100 performs various processes such as control of the entire system, instruction of instructions to each block in the system, game calculation, and the like.
PU (CISC type, RISC type), DSP or AS
It can be realized by hardware such as an IC (gate array or the like) or a given program (game program).

The operation unit 130 is used by a player to input operation data, and its function can be realized by hardware such as a lever, a button, and a housing.

The storage section 140 includes a processing section 100, an image generation section 160, a sound generation section 170, a communication section 174, and an I / F section 1.
It is a work area such as 76, and its function is RAM
It can be realized by hardware such as.

An information storage medium (a storage medium usable by a computer) 150 stores information such as programs and data.
D, DVD), magneto-optical disk (MO), magnetic disk, hard disk, magnetic tape, or semiconductor memory (ROM). The processing unit 100 performs various processes of the present invention (the present embodiment) based on the information stored in the information storage medium 150.
That is, the information storage medium 150 stores various information (programs, data) for realizing (executing) the means (particularly, the blocks included in the processing unit 100) of the present invention (the present embodiment).
Is stored.

A part or all of the information stored in the information storage medium 150 is transferred to the storage unit 140 when the power to the system is turned on. Information storage medium 1
The information stored in 50 is a program code for performing the processing of the present invention, image information, sound information, shape information of a display object, table data, list data, player information,
The information includes at least one of information for instructing the process of the present invention, information for performing a process according to the instruction, and the like.

The image generating section 160 generates various images according to an instruction from the processing section 100 and the like, and
The function is the ASI for image generation.
It can be realized by hardware such as C, CPU, or DSP, a given program (image generation program), and image information.

The sound generation section 170 generates various sounds in accordance with instructions from the processing section 100 and outputs the generated sounds to the sound output section 172. The function of the sound generation section 170 is as follows.
It can be realized by hardware such as a CPU or a DSP, a given program (sound generation program), and sound information (waveform data and the like).

The communication unit 174 performs various controls for communicating with an external device (for example, a host device or another image generating system).
It can be realized by hardware such as SIC or CPU, or a given program (communication program).

Information for realizing the processing of the present invention (the present embodiment) is distributed from the information storage medium of the host device (server) to the information storage medium 150 via the network and the communication unit 174. Is also good. Use of the information storage medium of such a host device (server) is also included in the scope of the present invention.

A part or all of the functions of the processing unit 100 may be replaced by the image generation unit 160, the sound generation unit 170, or the communication unit 1.
74 may be realized. Or,
Image generation unit 160, sound generation unit 170, or communication unit 174
Some or all of the functions may be realized by the function of the processing unit 100.

The I / F unit 176 exchanges information with a memory card (a portable information storage device including a portable game machine in a broad sense) 180 in accordance with an instruction from the processing unit 100 or the like. The interface functions as a slot for inserting a memory card, a controller IC for writing and reading data, and the like.
It can be realized by such as. When information exchange with the memory card 180 is realized using wireless communication such as infrared light, the function of the I / F unit 176 can be realized by hardware such as a semiconductor laser and an infrared sensor.

The processing section 100 includes a game calculation section 110.

Here, the game calculation section 110 performs processing for accepting coins (price), processing for setting various modes, processing for proceeding with a game, processing for setting a selection screen, the position and rotation angle of an object (X, Y or Z axis rotation). Processing to determine the rotation angle), processing to determine the viewpoint position and viewing angle, processing to deform the object (motion playback, motion generation), processing to place the object in the object space, hit check processing, game results (results, results) Various game calculation processes such as a calculation process, a process for a plurality of players to play in a common game space, and a game over process are performed by operating data from the operation unit 130, data from the memory card 180, a game program, and the like. Perform based on.

The game calculation section 110 includes a motion bone processing section 112, an auxiliary bone processing section 114, and an object deformation section 1.
6 inclusive.

The motion bone processing unit 112 performs a process of obtaining the position or the rotation angle of the motion bone (a bone uniquely corresponding to the motion data) based on the motion data stored in the motion data storage unit 142.

Here, the motion data is a set of rotation angle data of the motion bone, and is created by using a motion capture or the like. If the number of data of each motion data is 1/60 second, for example, the number of seconds of the motion reproduction time × 60. The motion data may be generated in real time by performing a physical simulation or the like.

The auxiliary bone processing unit 114 converts the position or rotation angle of the auxiliary bone (bone other than the motion bone) for assisting the deformation of the model object (character or the like) by the motion bone, for example, to the position or rotation angle of the motion bone. The processing to be obtained is performed based on this. More specifically, based on the initial state information of the auxiliary bone (for example, the position or initial rotation angle of the auxiliary bone) and the position or rotation angle of the motion bone, or based on the position or rotation angle of the first and second motion bones Based on
A process for calculating the position or rotation angle of the auxiliary bone is performed. Alternatively, a process of determining the position or rotation angle of the auxiliary bone is performed so that the auxiliary bone is arranged at a position different from the first motion bone.

The initial state information such as the position of the motion bone and the auxiliary bone (relative position from the parent bone) and the initial rotation angle (the rotation angle of each bone in the basic posture) are stored in the model data storage unit 144. Model data (basic information for determining the basic posture of the model object).

The object deforming section 116 performs a process of deforming the model object so as to follow a change in the position or rotation angle of the motion bone or the auxiliary bone. More specifically, a follow-up coefficient for each bone (motion bone, auxiliary bone) is set at each vertex of the model object. Then, the model object is deformed by causing each vertex of the model object to follow each bone at the following degree according to the following degree coefficient.

The image generation system according to the present embodiment
A system dedicated to the single player mode in which only one player can play, or a system including not only such a single player mode but also a multiplayer mode in which a plurality of players can play, may be used.

When a plurality of players play,
The game image and the game sound to be provided to the plurality of players may be generated using one terminal, or may be generated using a plurality of terminals connected by a network (transmission line, communication line) or the like. Is also good.

2. Features of the present embodiment (1) Placement setting of auxiliary bones As shown in FIG. 2, the features of the present embodiment include motion bones other than the motion bones BM1 to BM20 whose positions and rotation angles are uniquely specified by motion data. The point is that auxiliary bones BS1 to BS8 that move differently from bones are arranged and set.

That is, in this type of image generation system, the model object is deformed by moving the motion bones BM1 to BM20 based on the motion data created by using the motion capture, thereby expressing the motion of the model object. I do. This motion data is, for example, as shown in FIG.
Are represented by relative rotation angles α, β, γ about the X, Y, and Z axes of the motion bone BMC of the child.

For example, when expressing the movement of a model object in which the right hand is raised, the actor raises the right hand and performs motion capture using a sensor attached to the shoulder or an elbow of the person. Get upper arm rotation angle. Then, the obtained rotation angle is stored in the motion data storage unit 142 in FIG. 1 as motion data. That is, in FIG. 2, the motion bone (child) for the motion bone (parent) BM11
The rotation angle of the BM 12 is stored as motion data. Then, based on the stored motion data, the motion bone is moved in real time, and the model object is deformed so as to follow the motion of the motion bone, thereby expressing the motion of the model object raising the right hand.

In the motion capture, the number of sensors that can be attached to a person depends on the size of the sensors and the number of wires drawn from the sensors.
About 0 (about 40 even when using an optical sensor)
Is the limit. Therefore, the number of motion bones (the number of joints) is limited to about 20 (or about 40) as shown in FIG.

However, with such a small number of motion bones, model objects (characters, moving objects,
Real shape deformation of a fixed object or the like cannot be expressed, and in some cases, as described later, a situation occurs in which the shape deformation of the model object becomes unnatural.

That is, in the image generation system one generation ago,
Thus, even with about 20 motion bones, the image quality was not so noticeable. However, in recent years, the drawing capability of the image generation system (the number of drawable polygons, display accuracy) has been dramatically improved, and the image generation system having such a high drawing capability has a small number of motion bones. It has been found that the deterioration of the image quality caused by this is very noticeable.

Therefore, in the present embodiment, as shown in FIG. 2, auxiliary bones BS1 to BS8 for assisting the deformation of the model object by the motion bones BM1 to BM20 are arranged and set. And these motion bones BM
The model object is deformed so as to follow the movement of the auxiliary bones BS1 to BS8 and the auxiliary bones BS1 to BS8.

In this way, even if the number of motion bones is small, real shape deformation of the model object can be realized, and the high drawing ability of the image generation system can be maximized. Become.

Further, a game program can be developed by effectively utilizing the assets of the motion data captured for the image generation system of the previous generation without capturing new motion data for an image generation system having a high drawing ability. become.

The position of the auxiliary bone is arbitrary. For example, the auxiliary bone may be disposed at the same position as the motion bone, such as the auxiliary bones BS1 to BS6, or may be disposed at the same position as the motion bone, such as the auxiliary bones BS7 and BS8. The positions may be shifted and arranged.
In addition, the number of auxiliary bones to be arranged is arbitrary, and the number can be increased or decreased according to the shape or type of the model object.

The motion bones and auxiliary bones shown in FIG. 2 are not actually displayed, but are virtual, and the entities are position and rotation angle data (a coordinate conversion matrix) for deforming the model object. ).

(2) Auxiliary bone in the thigh Now, it has been found that the following problem occurs when the motion of the thigh is expressed using only the motion bone.

For example, in FIG. 4, consider the case where the motion bone BM3 (femur) rotates around the X axis based on the motion data. In this case, in the real human thigh, the flesh near the knee completely follows the rotation of the femur, but the flesh near the hip joint does not completely follow the rotation of the femur, and the flesh due to the rotation of the femur. Is absorbed throughout the thigh meat.

However, in the conventional image generation system, the meat of the thigh (the vertex of the object) completely follows the rotation of the motion bone BM3. For this reason, a problem occurs in that the meat near the hip joint JH appears to be cut off. Such a defect was not so conspicuous in the image generation system of the previous generation, but is very conspicuous in the latest image generation system having a high drawing capability.

In order to solve such a problem, in the present embodiment, as shown in FIG.
An auxiliary bone BS1 for assisting M3 (femur) is arranged and set. Then, based on the initial state information (position, initial rotation angle) of the auxiliary bone BS1, and the position or rotation angle of the motion bone BM3 that changes according to the motion data,
The position or rotation angle of the auxiliary bone BS1 is obtained in real time. Then, the model object is deformed (the vertex position of the object is changed) so as to follow the change in the position or the rotation angle of the motion bone BM3 and the auxiliary bone BS1. This effectively prevents the flesh near the hip joint from appearing to be cut off.

More specifically, as shown in FIG.
Basic posture in Fig. 2 (posture specified by model data)
, The auxiliary bone BS1 facing in the direction of E1 is directed in the direction of the X axis, which is the direction in which the motion bone BM3 faces.
Then, as shown in FIG. 5B, the motion bone BM3
Is rotated around the X axis by the rotation angle α1 based on the motion data, the auxiliary bone BS1 is rotated around the X axis by the rotation angle α2 (α2 <α1). The rotation angle α2 can be obtained by interpolating the rotation angle of the auxiliary bone BS1 in the basic posture (the rotation angle in the model data) and the rotation angle α1 of the motion bone BM3.

Then, as shown in FIG. 5B, the portion (apex) of the thigh closer to the hip joint JH is made to follow the auxiliary bone BS1 more strongly than the motion bone BM3, and the portion of the thigh closer to the knee JK. Is made to follow the motion bone BM3 more strongly than the auxiliary bone BS1. By doing so, it is possible to effectively prevent a problem that the meat near the hip joint JH appears to be cut off. As a result, it is possible to generate a high-quality, unnatural and realistic image by making the most of the rendering capability of the latest image generation system.

It is desirable that the model object is deformed based on the following coefficient for the motion bone and the following coefficient for the auxiliary bone.

More specifically, for example, in FIG. 6, at the vertex VEi1 (vertex of the polygon) near the knee, the following degree coefficient Fm for the motion bone is set to 1.0 (100%). Therefore, the vertex VEi1 completely follows the motion bone, and if the motion bone rotates, for example, 60 degrees, the vertex VEi1 also rotates 60 degrees.

On the other hand, at the vertex VEi3 near the hip joint, the following degree coefficient Fs for the auxiliary bone is set to 1.0 (100%). Therefore, this vertex VEi3 completely follows the auxiliary bone, and if the auxiliary bone is rotated by, for example, 30 degrees, the vertex VEi3
Ei3 also rotates 30 degrees.

The vertex VEi2 near the middle between the knee and the hip joint
Then, follow-up factor Fm for motion bone and auxiliary bone
And Fs are both set to 0.5 (50%). Accordingly, the vertex VEi2 follows the motion bone and the auxiliary bone by 50%, and if the motion bone rotates, for example, 60 degrees and the auxiliary bone rotates, for example, 30 degrees, the vertex VEi2 will rotate 45 degrees.

The position of the vertex VEi2 is determined by the coordinates of the vertex when following the motion bone by 50% and the position of the vertex VEi2 by the auxiliary bone.
It can be obtained by adding the coordinates of the vertex when following by%.

(3) Auxiliary bones at the elbows In a fighting game or the like, armrests serving as elbow pads or knee pads may be attached to the elbows or knees of the model object (character).

For example, in FIG. 7A, an armor SE (ancillary object) is attached to the elbow JE of the model object. In this case, when the armor SE completely follows the motion bone BM18 of the upper arm, as shown in FIG. 7B, when the elbow is bent, the portion indicated by E2 is exposed. That is, a portion near the elbow JE of the forearm that should be covered and concealed by the armor SE is exposed, resulting in an unsightly image.

On the other hand, the armor SE is moved to the motion bone B of the forearm.
When completely following M19, as shown in FIG.
When the elbow is bent, the portion indicated by E3 is exposed. That is, a portion near the elbow JE of the upper arm, which is to be covered and concealed by the armor SE, is exposed, resulting in an unsightly image.

When the armor SE follows both the forearm and upper arm motion bones BM18 and BM19 by 50%, the shape of the armor SE is extended as shown in FIG. It becomes an image.

Therefore, in this embodiment, as shown in FIG. 8A, the auxiliary bone BS5 is arranged and set at the position of the elbow JE. Then, the position or rotation angle of the auxiliary bone BS5 is determined in real time based on the initial state information (position, initial rotation angle) of the auxiliary bone BS5 and the position or rotation angle of the motion bone BM19 that changes according to the motion data. Then, the change of the position or the rotation angle of the auxiliary bone BS5 causes the armor S
Make E follow.

More specifically, as shown in FIG.
The auxiliary bone BS5 faces the upper arm motion bone BM18 in the initial state (state of the basic posture). Then, as shown in FIG. 8B, the motion bone BM of the forearm
19 is a rotation angle γ around the Z axis based on the motion data.
When it is rotated by one, for the auxiliary bone BS5, Z
The rotation is made around the axis by a rotation angle γ2 (γ2 <γ1). Note that the rotation angle γ2 can be obtained by interpolating the rotation angle γ1 of the motion bone BM19 with the rotation angle of the auxiliary bone BS5 in the basic posture (the rotation angle in the model data).

In this embodiment, the rotation angle γ2
The armor SE follows the auxiliary bone BS5 that rotates only. Therefore, when the elbow is bent, the situation where the portions indicated by E4 and E5 are exposed does not occur, and the situation where the shape of the armor SE extends does not occur.

As described above, according to the present embodiment, when a model object on which an accompanying object such as an armor is placed near a joint performs joint movement, the accompanying object is caused to follow not the motion bone but the auxiliary bone. ing. This has succeeded in making the image representation of the accompanying object during the joint movement of the model object more realistic and natural.

(4) Auxiliary bones at the wrist By the way, in a fighting game or the like, gloves or the like may be worn on the hands of the model object (character).

For example, in FIG. 9A, the GVW covering the forearm
Part (first accompanying object) and GVH covering hands
(A second accessory object paired with the first accessory object) is attached to the hand of the model object. In this case, the GVW part of the glove is made to completely follow the motion bone BM19 of the forearm,
When the GVH portion completely follows the motion bone BM20 of the hand, when the hand rotates around the X-axis as shown in FIG. 9A, the portion near the wrist JW shown at E6 is cut off. A situation occurs that can be seen.

On the other hand, when both the GVW and GVH portions of the glove completely follow the motion bone BM20 of the hand, FIG.
When the hand rotates around the Z-axis as shown in (B), an unsightly image is obtained in which the portion of the forearm indicated by E7 is exposed or the portion indicated by E8 protrudes.

In this embodiment, as shown in FIG. 10A, the auxiliary bone BS6 is located at the position of the motion bone BM19.
Is set. Then, the position or rotation angle of the auxiliary bone BS6 is obtained in real time based on the position or rotation angle of the motion bones BM19 and BM20 that change according to the motion data. Then, the GVW part (first accompanying object) of the glove is made to follow the change in the position or the rotation angle of the auxiliary bone BS6. Thus, it is possible to prevent a situation in which the portion of the glove near the wrist JW appears to be cut off.

More specifically, as shown in FIG. 10A, the auxiliary bone BS6 is directed in the direction of the X axis to which the motion bone BM19 of the forearm is directed. Then, as shown in FIG. 10B, when the motion bone BM20 of the hand rotates by the rotation angle α1 around the X axis based on the motion data, the auxiliary bone BS6 also rotates at the rotation angle α2 = α1 around the X axis. Just rotate it. Then, the GVW portion of the glove (first
Associated with the auxiliary bone BS6, not the motion bone BM19, and is rotated by the rotation angle α2 = α1. As a result, it is possible to effectively prevent a situation in which the portion indicated by E9 of the glove appears to be cut off.

On the other hand, when the motion bone BM20 of the hand rotates around the Z axis based on the motion data, the auxiliary bone BS6 does not follow the rotation around the Z axis. Since the GVW portion of the glove follows the auxiliary bone BS6, the problem shown in FIG. 9B does not occur.

As described above, according to this embodiment, when the accompanying object of the model object is constituted by the first and second accompanying objects attached to the first and second motion bones, the second motion The first auxiliary object is caused to follow the first auxiliary bone that rotates according to the rotation of the bone. Thus, the first and second incidental objects can be rotated integrally, and a real and natural image of the incidental object constituted by the first and second incidental objects can be provided.

(5) Auxiliary Bone in Clavicle Now, as shown in FIG. 11, the motion data includes data for rotating the motion bone BM11 representing the clavicle around the X axis in the direction in which the BM11 faces. There are cases. By rotating the motion bone BM11 based on such motion data, it becomes possible to express a motion such as turning the upper arm around.

However, in this case, if the flesh (vertex) near the collarbone and the shoulder of the model object is completely made to follow the rotation of the motion bone BM11, the flesh near the collarbone and the shoulder will be reduced as shown in FIG. As shown in (1), the image is deformed unnaturally, and the rendered image becomes very unnatural.

Further, since the position of the motion bone BM11 is also located before the actual position of the collarbone of the human (between the collarbone and the scapula), the shape of the model object near the collarbone and shoulder is also not realistic. Can not be expressed.

Further, the position of the collarbone is determined by the type of the character represented by the model object (female, male, adult, child, etc.).
Motion bone B
The position of M11 is always the same regardless of the type of the character represented by the model object. Therefore, it is not possible to increase the variety of shapes near the collarbone and shoulder of the model object.

Therefore, in this embodiment, as shown in FIG. 13A, the auxiliary bone BS7 is arranged at a position JC2 different from the position JC of the motion bone BM11. More specifically, similarly to the motion bone BM11, the auxiliary bone BS7 is arranged so as to face the shoulder JS connecting the motion bones BM11 and BM12. The flesh (apex) near the shoulder and the collarbone follows the auxiliary bone BS7 instead of the motion bone BM11.

In this way, since the auxiliary bone BS7 arranged at substantially the same position as the actual human collarbone is fleshed out, the shape of the model object in the vicinity of the collarbone and shoulder can be changed to a more realistic shape. Will be able to

Further, by shifting the position JC2 of the auxiliary bone BS7 in accordance with the type of the character represented by the model object (female, male, adult, child, etc.), the degree of variety in the shape of the model object in the vicinity of the collarbone and shoulder can be improved. Can be increased.

For example, as shown in FIG.
Even when the motion bone BM11 is rotated around the X axis by the rotation angle α1 based on the motion data to rotate the upper arm, the auxiliary bone BS7 can be prevented from being rotated (rotation angle α2 of the auxiliary bone BS7 =
0). As a result, as shown in FIG. 12B, the deformation of the flesh near the shoulder and the collarbone of the model object becomes natural, and a higher quality image can be provided as compared with FIG. 12A.

In FIGS. 13 (A) and (B), only one auxiliary bone whose position is shifted is provided for one motion bone. However, the position is shifted for one motion bone. Alternatively, a plurality of auxiliary bones may be provided. For example, an auxiliary bone representing a collarbone and an auxiliary bone representing a scapula are provided for one motion bone. By doing so, the shape of the model object can be made more realistic.

3. Processing of this embodiment (1) Overall processing Next, a detailed example of the processing of this embodiment will be described with reference to the flowchart of FIG.

First, the motion data storage unit 14 shown in FIG.
Based on the motion data stored in 2 and the model data stored in the model data storage unit 114, a world matrix (coordinate conversion matrix to the world coordinate system) of each motion bone is calculated (step S1).

More specifically, the motion data includes the rotation angle of the child motion bone with respect to the parent motion bone, and the model data includes the position of the child motion bone with respect to the parent motion bone. (Relative distance from the parent), and based on the rotation angle included in the motion data and the position included in the model data, a local matrix of each motion bone (a coordinate conversion matrix to a local coordinate system) Is calculated. Also, by determining the parent-child relationship based on the parent-child structure data included in the model data, and sequentially multiply the local matrix of the parent motion bone by the local matrix of the child motion bone according to the parent-child relationship, Find the world matrix for each motion bone.

Next, it is determined whether or not the calculation of the world matrix of all motion bones has been completed (step S).
2) If completed, a world matrix (coordinate transformation matrix to the world coordinate system) of the initial state of each auxiliary bone is obtained based on the model data stored in the model data storage unit 114 (step S3).

More specifically, the initial rotation angle of the auxiliary bone included in the motion data (the rotation angle in the basic posture in FIG. 2) and the position of the auxiliary bone included in the model data (relative distance from the parent) ), A local matrix of each auxiliary bone (a coordinate conversion matrix to a local coordinate system) is calculated. In addition, the parent-child relationship is determined based on the parent-child structure data included in the model data, and the world matrix of the initial state of each auxiliary bone (the world matrix of the auxiliary bone in the basic posture in FIG. 2) is obtained.

Next, it is determined whether or not the calculation of the world matrix in the initial state of all the auxiliary bones has been completed (step S4). If the calculation has been completed, 1 or 2 specified in advance by the model creator is determined. The final world matrix of the auxiliary bone is calculated using the two motion bones and the calculation method (step S5).

Next, it is determined whether or not the calculation of the final world matrix of all the auxiliary bones has been completed (step S).
6) When the processing is completed, the model object is transformed (calculation of each vertex of the model object) (step S7).

Next, the details of the processing of step S5 in FIG. 14 (calculation of the final world matrix of the auxiliary bone) will be described with reference to the flowcharts of FIGS. 15, 17, 18, and 19.

(2) Auxiliary Bone in Thigh FIG. 15 is a flowchart showing details of the calculation of the final world matrix of the auxiliary bone in the thigh (the auxiliary bone BS1 in FIGS. 5A and 5B).

First, as shown by F1 in FIG. 16, the first column of the world matrix of the motion bone (thigh) is changed to the first column of the world matrix of the auxiliary bone (step S1).
1). As a result, as described with reference to FIG.
Bone BS1 facing the direction (direction in the basic posture)
Are directed to the direction (X-axis) of the motion bone BM3.

The world matrix of the motion bone is calculated in step S1 of FIG. The first, second, and third columns of the world matrix represent vectors pointing in the X, Y, and Z axis directions, respectively. Although not shown in FIG. 16, the fourth column of the world matrix represents a translation vector.

Next, as shown by F2 in FIG. 16, the second column of the world matrix of the initial state of the auxiliary bone (may be the world matrix of the initial state of the motion bone) and the second column of the world matrix of the motion bone Are blended (interpolated) at a blend ratio (interpolation ratio) designated in advance by the model creator, and the result is normalized (step S1).
2). Here, the world matrix of the initial state of the auxiliary bone is calculated in step S3 of FIG.

Next, as shown in F3, the cross product of the first column of the world matrix of the auxiliary bone and the second column blended and normalized in step S12 is calculated and normalized, and the world matrix of the auxiliary bone is calculated. In the third column (step S
13). Thereby, the vectors in the first and third columns become orthogonal to each other.

Next, as shown in F4, the cross product of the first and third columns of the world matrix of the auxiliary bone is calculated, and is calculated as the second column of the world matrix of the auxiliary bone (step S1).
4). As a result, the vectors in the first, second, and third columns become orthogonal to each other.

As described above, as described with reference to FIG. 5B, the auxiliary bone BS1 is moved along the X axis (the direction of the motion bone BM3).
It starts to rotate around. The rotation angle α2 of the auxiliary bone BS1 in this case is determined by the rotation angle α1 of the motion bone BM3 and the blending ratio in step S12. Here, the blend ratio a is, for example, 0.5 (50%).
And α2 = a × α1 = 0.5 × α1.

(3) Supplementary Bone in Elbow FIG. 17 is a flowchart showing details of the calculation of the final world matrix of the supplementary bone in the elbow (the supplementary bone BS5 in FIGS. 8A and 8B).

First, the third column (Z axis) of the world matrix of the motion bone (forearm) is set to the third column of the world matrix of the auxiliary bone (step S21). This processing can be omitted.

Next, the second column of the world matrix of the initial state of the auxiliary bone (may be the world matrix of the initial state of the motion bone) and the second column of the world matrix of the motion bone are designated by a specified blend ratio. Blend and
The result is normalized (step S22).

Next, the third of the world matrix of the auxiliary bone
Column and the second normalized and blended in step S22.
The cross product with the column is calculated and normalized to be the first column of the world matrix of the auxiliary bone (step S23).

Next, the first of the world matrix of the auxiliary bone
The cross product of the column and the third column is calculated, and is set as the second column of the world matrix of the auxiliary bone (step S24).

As described above, as described with reference to FIG. 8B, the auxiliary bone BS5 rotates around the Z axis (the direction of the third row). Then, the rotation angle γ2 of the auxiliary bone BS5 in this case is determined by the rotation angle γ1 of the motion bone BM19 and the blend ratio in step S22. Here, the blend ratio a is set to, for example, 0.5 (50%), and γ2 = a × γ1 = 0.5 × γ1.

(4) Supplementary bones on wrist FIG. 18 shows supplementary bones on the wrist (FIG. 10 (A),
It is a flowchart which shows the detail of calculation of the final world matrix of (B) and (C) of the auxiliary bone BS6).

First, the first column (X-axis) of the world matrix of the first motion bone (forearm) is set to the first column of the world matrix of the auxiliary bone (step S31). Thereby, the auxiliary bone BS6 is oriented in the direction (X-axis) of the first motion bone BM19.

Next, the second column of the world matrix of the initial state of the auxiliary bone (may be the world matrix of the initial state of the first motion bone) and the second motion bone (hand)
Is blended with the second column of the world matrix at the specified blend ratio, and the result is normalized (step S
32).

Next, the first of the world matrix of the auxiliary bone
Column and the second normalized and blended in step S32.
The cross product with the column is calculated and normalized to make the third column of the world matrix of the auxiliary bone (step S33).

Next, the first of the world matrix of the auxiliary bone
The cross product of the column and the third column is calculated, and is set as the second column of the world matrix of the auxiliary bone (step S34).

As described above, as described with reference to FIG. 10B, the auxiliary bone BS6 rotates around the X axis (the direction of the first row). The rotation angle α2 of the auxiliary bone BS6 in this case is the rotation angle α of the second motion bone BM20.
1 and the blending ratio of step S32.
Here, the blend ratio a is set to, for example, 1.0 (100%), and α2 = a × α1 = α1.

(5) Auxiliary bone in the clavicle FIG. 19 shows the auxiliary bone in the clavicle (FIGS. 13A and 13B).
It is a flowchart which shows the detail of a calculation of the final world matrix of the auxiliary | assistant bone BS7).

First, a unit vector in the direction from the position of the auxiliary bone to the position (shoulder) of the second motion bone (forearm) is obtained, and the vector is set to the first column of the world matrix of the auxiliary bone (step S41). ). As a result, FIG.
As shown in (A), the auxiliary bone BS7 has the second motion bone B like the first motion bone BM11 (clavicle).
It turns to the direction of the shoulder JS which is the position of M12.

Next, the second column of the world matrix of the initial state of the auxiliary bone (may be the world matrix of the initial state of the first motion bone) and the second column of the world matrix of the first motion bone (clavicle) Are blended at the specified blend ratio, and the result is normalized (step S42).

Next, the first in the world matrix of the auxiliary bone
And the second blended and normalized second
The cross product with the column is calculated and normalized to make the third column of the world matrix of the auxiliary bone (step S43).

Next, the first in the world matrix of the auxiliary bone
The cross product of the column and the third column is calculated, and is set as the second column of the world matrix of the auxiliary bone (step S44).

As described above, as described with reference to FIG. 13A, the auxiliary bone BS7 can be arranged at a position different from that of the first motion bone BM11. Step S4
By setting the blend ratio of the second motion bone BM11 to, for example, 0.0 (0%), even when the first motion bone BM11 rotates around the X axis by the rotation angle α1, the rotation angle α of the auxiliary bone BS7
2 = 0 can be set. This makes it possible to provide a high-quality image as shown in FIG.

(6) Model Object Deformation Processing FIG. 20 is a flowchart showing details of the model object deformation processing.

First, the index i of the world matrix of the bone (motion bone and auxiliary bone) is set to 0 (step S51). Then, the world matrix WM of the bones to be processed (motion bones and auxiliary bones)
[I] is read from the temporary storage unit (step S5).
2). This world matrix corresponds to step S in FIG.
1, the matrix obtained in S5.

Next, j, which is the index number of the vertex included in the vertex list of the bone, is set to 0 (step S5).
3). Then, the vertex VE [j] included in the vertex list of the bone to be processed and the following degree coefficient F described in FIG.
[J] is read from the temporary storage unit (step S5).
4). In this embodiment, a list of vertices (and a normal list) that follow the bone is set in association with each bone.

Next, it is determined whether or not the vertex to be processed is a vertex that has appeared twice or more (a vertex that overlaps with each bone) (step S55). A1)
(Step S56), and in the case of a vertex that has appeared twice or more, the following equation (A2) is calculated (Step S5)
7). In the following equation, k is an index number indicating the storage location of VVE [k].

VVE [k] = WM [i] × VE [j] × F [j] (A1) VVE [k] = VVE [k] + WM [j] × VE [j] × F [j] (A2 By performing calculations such as the above equations (A1) and (A2), as described with reference to FIG. 6, the following degree coefficient (weighting coefficient) F
Each vertex of the model object can be made to follow each bone with a degree of following according to [j]. Note that, in order to reduce the load of the calculation processing of the above equations (A1) and (A2), the vertices VE [j] included in the vertex list may be multiplied by the following degree coefficient F [j] in advance. Good.

Next, 1 is added to j (step S5).
8) It is determined whether j exceeds the total number of vertices (step S59). If not, the process returns to step S54 to read the next vertex. On the other hand, if it exceeds, 1 is added to i (step S60), and it is determined whether or not i exceeds the total number of bones (step S61). If not, the process returns to step S52, where the world matrix of the next bone is read, and if it does, the process is terminated.

[0125] 4. Hardware Configuration Next, an example of a hardware configuration that can realize the present embodiment will be described with reference to FIG. In the system shown in the figure, a CPU 1000, a ROM 1002, a RAM 10
04, information storage medium 1006, sound generation IC 1008, image generation IC 1010, I / O ports 1012, 1014
Are connected to each other via a system bus 1016 so that data can be transmitted and received therebetween. And the image generation IC 1010
Is connected to the display 1018, and the sound generation IC 10
08 is connected to a speaker 1020, and the I / O port 1
012 is connected to the control device 1022,
A communication device 1024 is connected to the O port 1014.

The information storage medium 1006 mainly stores programs, image data for expressing a display object, sound data, and the like. For example, in a home game system, a DV is used as an information storage medium for storing a game program and the like.
D, a game cassette, a CDROM, or the like is used. In the arcade game system, a memory such as a ROM is used. In this case, the information storage medium 1006 is stored in the ROM 100
It becomes 2.

The control device 1022 corresponds to a game controller, an operation panel, and the like, and is a device for inputting a result of a determination made by a player in accordance with the progress of a game to a system main body.

A program stored in the information storage medium 1006, a system program (initialization information of the system body) stored in the ROM 1002, the control device 1
CPU 22 according to a signal or the like input by
00 controls the entire system and performs various data processing. R
The AM 1004 is storage means used as a work area or the like of the CPU 1000.
The given contents of the OM 1002 or the calculation results of the CPU 1000 are stored. A data structure having a logical configuration for realizing the present embodiment is constructed on the RAM or the information storage medium.

Further, this type of system includes a sound generation IC 1
008 and an image generation IC 1010 are provided so that game sounds and game images can be suitably output. The sound generation IC 1008 includes the information storage medium 1006 and the RO
An integrated circuit that generates game sounds such as sound effects and background music based on the information stored in M1002, and the generated game sounds are output by a speaker 1020. Further, the image generation IC 1010 includes a RAM 10
04, an integrated circuit that generates pixel information to be output to the display 1018 based on image information sent from the ROM 1002, the information storage medium 1006, and the like. Note that a so-called head-mounted display (HMD) can also be used as the display 1018.

The communication device 1024 exchanges various types of information used inside the image generation system with the outside. The communication device 1024 is connected to another image generation system to transmit and receive given information according to the game program. And for transmitting and receiving information such as game programs via a communication line.

The various processes described with reference to FIGS. 1 to 20 are performed by an information storage medium 1006 storing information such as programs and data, a CPU 1000 operating based on information from the information storage medium 1006, an image generation IC 10
10 or a sound generation IC 1008 or the like.
Note that the processing performed by the image generation IC 1010, the sound generation IC 1008, and the like may be performed by software using the CPU 1000, a general-purpose DSP, or the like.

FIG. 22A shows an example in which the present embodiment is applied to an arcade game system. The player enjoys the game by operating the lever 1102, the button 1104, and the like while watching the game image projected on the display 1100. A CPU, an image generation IC, a sound generation IC, and the like are mounted on a built-in system board (circuit board) 1106. Information for executing (realizing) the processing of the present embodiment (means of the present invention) is stored in the semiconductor memory 1 as an information storage medium on the system board 1106.
108. Hereinafter, this information is referred to as storage information.

FIG. 22B shows an example in which the present embodiment is applied to a home game system. The player enjoys the game by operating the game controllers 1202 and 1204 while watching the game image projected on the display 1200. In this case, the stored information is stored in a DVD 1206, which is an information storage medium detachable from the main system,
It is stored in a memory card 1208, 1209, or the like.

FIG. 22C shows a host device 1300,
A terminal 1304-1 connected to the host device 1300 via a communication line (small network such as LAN or wide area network such as the Internet) 1302.
An example in a case where the present embodiment is applied to an image generation system including the image generation systems 1 to 1304-n will be described. In this case, the storage information is
For example, an information storage medium 1 such as a magnetic disk device, a magnetic tape device, or a semiconductor memory that can be controlled by the host device 1300
306. Terminals 1304-1 to 1304-n
Has a CPU, an image generation IC, and a sound processing IC, and can generate a game image and a game sound in a stand-alone manner.
A game program or the like for generating a game sound is transmitted to the terminal 1.
It is delivered to 304-1 to 1304-n. On the other hand, if it cannot be generated stand-alone, the host device 1300 generates a game image and a game sound, and transmits them to the terminals 1304-1 to 1304-1.
1304-n and output at the terminal.

In the case of the configuration shown in FIG. 22C, the processing of the present invention may be performed in a distributed manner between the host device (server) and the terminal. Further, the storage information for implementing the present invention may be distributed and stored in an information storage medium of a host device (server) and an information storage medium of a terminal.

The terminal connected to the communication line may be a home game system or an arcade game system. When the arcade game system is connected to a communication line, a portable information storage that can exchange information with the arcade game system and can exchange information with the home game system. It is desirable to use a device (memory card, portable game machine).

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

For example, in the invention according to the dependent claims of the present invention, a configuration in which some of the constituent elements of the dependent claims are omitted may be adopted. In addition, a main part of the invention according to one independent claim of the present invention may be made dependent on another independent claim.

The method for obtaining the position and rotation angle of the auxiliary bone and the position and rotation angle of the motion bone and the auxiliary bone are not limited to those described in the present embodiment, and various modifications can be made. is there. Further, the method of deforming the model object is not limited to the method described in the present embodiment.

In the present embodiment, the case where the model object is a character of a fighting game has been described. However, the model object to which the present invention is applied is not limited to such a character, and can be applied to various objects.

The present invention also provides various games other than fighting games (shooting games, robot battle games, sports games, competition games, role playing games,
Music playing games, dance games, etc.).

The present invention also provides various images such as a business game system, a home game system, a large attraction system in which many players participate, a simulator, a multimedia terminal, an image generation system, and a system board for generating game images. Applicable to generation systems.

[Brief description of the drawings]

FIG. 1 is an example of a block diagram of an image generation system according to an embodiment.

FIG. 2 is a diagram for explaining motion bones and auxiliary bones.

FIG. 3 is a diagram for explaining motion data.

FIG. 4 is a diagram for explaining the problem of torsion of the thigh meat.

FIGS. 5A and 5B are diagrams for explaining auxiliary bones in a thigh. FIG.

FIG. 6 is a diagram for explaining a model object deformation process using a following degree coefficient;

FIGS. 7A, 7B, 7C, and 7D are diagrams for explaining the problem of the armor placed at the position of the elbow.

FIGS. 8A and 8B are views for explaining auxiliary bones in an elbow.

FIGS. 9A and 9B are diagrams for explaining the problem of glove twisting.

FIGS. 10A, 10B, and 10C are diagrams for explaining auxiliary bones on a wrist.

FIG. 11 is a diagram for explaining the problem of the collarbone.

12 (A) and 12 (B) are views showing a state of deformation of meat near shoulders and collarbones.

FIGS. 13A and 13B are diagrams for explaining auxiliary bones in the collarbone.

FIG. 14 is a flowchart illustrating a detailed example of a process according to the embodiment;

FIG. 15 is a flowchart showing a detailed example of calculation of the final world matrix of the auxiliary bone in the thigh.

FIG. 16 is a diagram for describing the calculation of the final world matrix of the auxiliary bone in the thigh.

FIG. 17 is a flowchart showing a detailed example of calculation of a final world matrix of auxiliary bones at the elbow.

FIG. 18 is a flowchart showing a detailed example of calculation of a final world matrix of auxiliary bones in a wrist.

FIG. 19 is a flowchart showing a detailed example of calculation of a final world matrix of auxiliary bones in the collarbone.

FIG. 20 is a flowchart illustrating a detailed example of a process of transforming a model object.

FIG. 21 is a diagram illustrating an example of a hardware configuration capable of realizing the present embodiment.

FIGS. 22A, 22B, and 22C are diagrams illustrating examples of various types of systems to which the present embodiment is applied; FIGS.

[Explanation of symbols]

 BM1 to BM20 motion bone BS1 to BS8 auxiliary bone JH hip joint JK knee JE elbow JW wrist JS shoulder JC motion bone (clavicle) position JC2 auxiliary bone (clavicle) position 100 processing unit 110 game calculation unit 112 motion bone processing unit 114 auxiliary Bone processing unit 116 Object deforming unit 130 Operation unit 140 Storage unit 142 Motion data storage unit 144 Model data storage unit 150 Information storage medium 160 Image generation unit 162 Display unit 170 Sound generation unit 172 Sound output unit 174 Communication unit 176 I / F unit 180 memory card

Claims (12)

[Claims] 1. An image generation system for generating an image, comprising: means for obtaining a position or a rotation angle of a motion bone including first and second motion bones based on motion data; and a model object based on the motion bone. Means for determining the position or rotation angle of the auxiliary bone for assisting the deformation of the first bone based on the position or rotation angle of the first motion bone and the position or rotation angle of the second motion bone; Means for deforming the model object so as to follow a change in the rotation angle. 2. The method according to claim 1, wherein the auxiliary bone is directed in a direction of an L-axis along the direction in which the first motion bone is directed, and the second bone is rotated around the L-axis.
An auxiliary bone is rotated at a rotation angle obtained by using the rotation angle of the motion bone. 3. The coordinate conversion matrix of the second motion bone according to claim 1, wherein the first column of the coordinate conversion matrix of the auxiliary bone is obtained based on the first column of the first motion bone coordinate conversion matrix. Interpolation using the J-th column and the I-th,
Based on a normalization operation for orthogonalizing the vectors of the J and K columns with each other, the J-th coordinate transformation matrix of the auxiliary bone is used.
An image generation system, wherein a column and a K-th column are obtained. 4. The image generation system according to claim 1, wherein the model object is deformed based on a following degree coefficient for the motion bone and a following degree coefficient for the auxiliary bone. 5. The image according to claim 1, wherein the first accompanying object accompanying the first motion bone is made to follow an auxiliary bone instead of the first motion bone. Generation system. 6. The image generation system according to claim 5, wherein the first incidental object is an incidental object paired with a second incidental object associated with a second motion bone. 7. An information storage medium usable by a computer, comprising: means for determining a position or a rotation angle of a motion bone including first and second motion bones based on motion data; Means for determining the position or rotation angle of the auxiliary bone for assisting the deformation based on the position or rotation angle of the first motion bone and the position or rotation angle of the second motion bone; Means for deforming the model object so as to follow a change in the angle; and information for realizing the following. 8. The method according to claim 7, wherein the auxiliary bone is directed in the direction of the L-axis along the direction in which the first motion bone is directed, and the second bone is rotated around the L-axis.
An information storage medium characterized by rotating the auxiliary bone at a rotation angle obtained by using the rotation angle of the motion bone. 9. The coordinate transformation matrix of the second motion bone according to claim 7, wherein the first column of the coordinate transformation matrix of the auxiliary bone is obtained based on the first column of the coordinate transformation matrix of the first motion bone. Interpolation using the J-th column and the I-th,
Based on a normalization operation for orthogonalizing the vectors of the J and K columns with each other, the J-th coordinate transformation matrix of the auxiliary bone is used.
An information storage medium, wherein a column and a K-th column are obtained. 10. The information storage medium according to claim 7, wherein the model object is deformed based on a following degree coefficient for a motion bone and a following degree coefficient for an auxiliary bone. 11. The information according to claim 7, wherein the first accompanying object accompanying the first motion bone is made to follow an auxiliary bone instead of the first motion bone. Storage medium. 12. The information storage medium according to claim 11, wherein the first auxiliary object is an auxiliary object paired with a second auxiliary object associated with a second motion bone.