JP2002042167A - Game system and information storage medium - Google Patents

Abstract

(57) [Summary] (with correction) [PROBLEMS] To provide a game system and an information storage medium capable of expressing a complicated trajectory of a flying object and a movement trajectory of an object with a small calculation load and a small amount of data. A trajectory curve generation unit 112 obtains a first vector from a start point to an end point based on a start point and an end point given as control point data based on a start point and an end point given in real time according to a game situation, Further, based on the start point and the end point given in real time according to the game situation, a second vector from the start point to the end point is obtained, and a process of generating a trajectory curve passing through the start point and the end point is performed. The first
Alternatively, the trajectory curve may be generated after performing the coordinate transformation of the control points based on the scaling and the rotation matrix obtained based on the vector and the second vector. Also,
The launch point and the arrival point of the object may be given as the start point and the end point, respectively. The position control unit 114 performs an object position control process based on the trajectory curve.

Description

DETAILED DESCRIPTION OF THE INVENTION

[0001]

[0001] The present invention relates to a game system and an information storage medium.

[0002]

2. Description of the Related Art Conventionally, there has been known a game system for generating an image which can be viewed from a given viewpoint in an object space which is a virtual three-dimensional space. Popular as something you can do. Taking a game system that can enjoy a gun game as an example, a player (operator) uses a gun-type controller (shooting device) made to imitate a gun or the like to display an enemy character (object) projected on a screen. ) To enjoy a 3D game by shooting target objects.

In such a game system, it is an important technical problem to generate a more realistic and high-quality image in order to improve the virtual reality of the player. For this reason, it is desirable that the trajectory of a flying object that moves according to a certain rule, such as a thrown object, and the movement trajectory of a freely moving object such as a butterfly, a bird, or a fish can be expressed more realistically.

However, when it is desired to express a complicated movement trajectory, a complicated trajectory calculation is required, and the calculation load increases.
Further, even if the trajectory of the launched flying object is to be faithfully represented by performing a physical simulation, a complicated trajectory calculation is required and the processing load of the game system is increased. Therefore,
It is not possible to respond to a request for real-time processing that drawing processing of all objects must be completed within one frame.

The present invention has been made in view of the above problems, and has as its object to provide a game system capable of expressing a complicated trajectory of a flying object and a movement trajectory of an object with a small calculation load and a small amount of data. And an information storage medium.

[0006]

SUMMARY OF THE INVENTION The present invention relates to a game system for generating an image, in which a starting point and an ending point given in real time according to a game situation based on control point data for generating a trajectory curve. It is characterized by including trajectory curve generating means for generating a passing trajectory curve, and means for controlling the position of an object based on the trajectory curve.

[0007] An information storage medium according to the present invention is an information storage medium usable by a computer, and includes a program for executing the above means. Further, the program according to the present invention is a program usable by a computer (including a program embodied in a carrier wave), and includes a processing routine for executing the above means.

In general, when it is desired to express a complicated movement trajectory, a complicated trajectory calculation is required, and the calculation load increases.

However, according to the present invention, a trajectory curve passing through a start point and an end point given in real time according to a game situation is generated based on control point data, and the position of an object is controlled based on the trajectory curve. A game system and an information storage medium capable of expressing a complicated trajectory of a flying object and a movement trajectory of an object with a small calculation load and a small data amount can be provided.

In the game system, the information storage medium, and the program according to the present invention, the trajectory curve generating means performs coordinate conversion of the control point based on a start point and an end point given in real time according to a game situation. A trajectory curve is generated based on the converted control point data.

According to the present invention, by performing coordinate conversion of the control point based on the start point and the end point given in real time, it is possible to obtain a trajectory curve connecting the start point and the end point with a small calculation load. In addition, since the control point of one type of orbit data stored in advance can be reused, it is possible to generate an orbit curve connecting the start point and the end point that is changed in real time with a small data amount.

Further, in the game system, the information storage medium and the program according to the present invention, the trajectory curve generating means obtains a first vector from the start point to the end point based on the start point and the end point given as the control point data, A second vector from the start point to the end point is obtained based on the start point and the end point given in real time according to the game situation, and scaling is performed when the control point is coordinate-transformed based on the first vector and the second vector. And a rotation matrix are obtained, and coordinate transformation of control points is performed based on the obtained scaling and rotation matrix.

The game system, the information storage medium, and the program according to the present invention perform a curve interpolation based on control point data to obtain a trajectory curve using time t as a parameter.
The method is characterized in that the position coordinates on the trajectory curve given based on the time t progressing for each frame are given as the position coordinates of the object of the frame.

Further, the game system, the information storage medium and the program according to the present invention are characterized in that control point data is given in advance at a density corresponding to the speed of the object.

For example, if the trajectory curve is a spline curve P (t)
When the value is given as a function of t, the data of the control points is given in advance with a density corresponding to the speed of the object, so that the position coordinates corresponding to the speed can be extracted only by advancing the value of t. Can be.

For example, by arranging the data of the control points so that the passing points are at equal intervals when the original data is first created, the position coordinates of the object moving at a constant speed can be extracted.

Further, the game system, the information storage medium and the program according to the present invention are characterized in that a launch point and an arrival point of an object determined based on a game situation are given as a start point and an end point, respectively.

By doing so, it is possible to generate a trajectory curve of a flying object which is fired from a firing point determined in real time according to a game situation and reaches an arrival point.

[0019]

Preferred embodiments of the present invention will be described below with reference to the drawings.

1. Configuration FIG. 1 shows an example of a functional block diagram of a game system (image generation system) of the present embodiment. In this figure, in the present embodiment, at least the processing unit 100 may be included (or the processing unit 100 and the storage unit 170 may be included).
The other blocks can be optional components.

The operation section 160 is used by a player to input operation data, and its function can be realized by hardware such as a lever, a button, a microphone, or a housing.

The storage unit 170 stores the processing unit 100 and the communication unit 1
A work area such as 96
It can be realized by hardware such as.

An information storage medium (storage medium that can be used by a computer) 180 stores information such as programs and data.
D, DVD), magneto-optical disk (MO), magnetic disk, hard disk, magnetic tape, or memory (RO
M) and the like. Processing unit 10
0 performs various processes of the present invention (the present embodiment) based on the information stored in the information storage medium 180. That is, the information storage medium 180 stores information (program or data) for executing the means (particularly, the blocks included in the processing unit 100) of the present invention (the present embodiment).

A part or all of the information stored in the information storage medium 180 is transferred to the storage unit 170 when the power to the system is turned on. Information storage medium 1
80 includes a program for performing the processing of the present invention, image data, sound data, shape data of a display object, information for instructing the processing of the present invention, information for performing the processing according to the instruction, and the like. Can be made.

The display unit 190 outputs an image generated according to the present embodiment.
LCD or HMD (Head Mount Display)
It can be realized by hardware such as.

The sound output section 192 outputs the sound generated according to the present embodiment, and its function can be realized by hardware such as a speaker.

The portable information storage device 194 stores personal data of a player and save data of a game. The portable information storage device 194 may be a memory card or a portable game device. Can be.

The communication unit 196 performs various controls for communicating with the outside (for example, a host device or another game system), and has a function of various processors or a communication ASIC. This can be realized by hardware, a program, or the like.

A program or data for executing the means of the present invention (this embodiment) is distributed from the information storage medium of the host device (server) to the information storage medium 180 via the network and the communication unit 196. It may be. Use of the information storage medium of such a host device (server) is also included in the scope of the present invention.

The processing unit 100 (processor) includes the operation unit 1
Various processes such as a game process, an image generation process, and a sound generation process are performed based on the operation data from 60 or a program. In this case, the processing unit 100
Various processes are performed using the main storage unit 172 in 0 as a work area.

Here, the game processing performed by the processing unit 100 includes coin (price) reception processing, various mode setting processing, game progress processing, selection screen setting processing, and objects (one or more primitive planes). Processing for determining the position and rotation angle (rotation angle about the X, Y or Z axis)
Processing to move objects (motion processing); processing to determine the viewpoint position (virtual camera position) and viewing angle (virtual camera rotation angle); processing to place objects such as map objects in object space; hit check processing; A process for calculating a game result (result, performance), a process for a plurality of players to play in a common game space, a game over process, and the like can be considered.

The function of the processing section 100 is more preferably realized by a combination of hardware (a processor such as a CPU or a DSP or an ASIC such as a gate array) and a program (a game program or firmware). . However, all of the functions of the processing unit 100 may be realized by hardware, or all of the functions may be realized by a program.

The processing section 100 includes an object space setting section 110, an image generation section 120, and a sound generation processing section 130.

Here, the object space setting unit 110
Performs a predetermined game calculation based on input data, and performs processing for setting various objects (models) such as characters and maps in the object space based on the calculation result. More specifically, the position and rotation angle (direction) of the object in the world coordinate system are determined, and the object is arranged at that position at the rotation angle (X, Y, Z axis rotation).

The object space setting section 110 includes a trajectory curve generation section 112 and a position control section 114.

The trajectory curve generator 112 performs a process of generating a trajectory curve passing through a given start point and end point in real time according to the game situation, based on control point data for generating a trajectory curve.

The coordinate transformation of the control point may be performed based on the start point and end point given in real time according to the game situation, and a trajectory curve may be generated based on the control point data after the coordinate transformation.

For example, a first vector from the start point to the end point is determined based on the start point and the end point given as the control point data, and a first vector from the start point to the end point is determined based on the start point and the end point given in real time according to the game situation. 2 is obtained, a scaling and rotation matrix for coordinate conversion of the control point is obtained based on the first vector and the second vector, and a coordinate conversion of the control point is performed based on the obtained scaling and rotation matrix. You may do so.

The launch point and the arrival point of the object determined based on the game situation may be given as the start point and the end point, respectively.

The position control unit 114 performs an object position control process based on the trajectory curve.

On the trajectory curve using the time t obtained based on the control point data as a parameter, the position coordinates given based on the time t progressing for each frame may be used as the position coordinates of the object of the frame.

The image generation unit 120 generates an image that can be viewed from a given viewpoint (virtual camera) in the object space based on the game processing result and the like, and outputs the image to the display unit 190.

More specifically, first, geometry processing such as coordinate conversion, clipping processing, perspective conversion, or light source calculation is performed, and drawing data (position coordinates assigned to vertices, texture Data including coordinates, color (luminance) data, normal vector, α value, etc.)
Is created.

Then, based on the drawing data, the image generation unit 120 generates an object (1
Or a plurality of primitive surfaces) in the drawing area 174
(A region where image information can be stored in pixel units such as a frame buffer and a work buffer). At this time,
The image generation unit also performs a process of mapping a texture stored in the texture storage unit 176 to an object.

The sound generation section 130 performs various sound processing based on the game processing result and the like, generates sound such as BGM, sound effect, or voice, and outputs the sound to the sound output section 192.

It should be noted that the game system of the present embodiment
The system may be a system dedicated to the single player mode in which only one player can play, or a system having not only such a single player mode but also a multi-player mode in which a plurality of players can play.

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 (game machine, mobile phone, etc.) connected via a network (transmission line, communication line) or the like. ) May be generated.

2. Features of the present embodiment A feature of the present embodiment is that, based on control point data including a start point and an end point for generating a trajectory curve, a trajectory curve passing through a start point and an end point given in real time according to a game situation is generated. In this case, the position of the object is controlled based on the trajectory curve.

Hereinafter, the above-mentioned features will be described by taking the trajectory generation of a flying object in the present embodiment as an example.

FIGS. 2A and 2B are diagrams for conceptually explaining the trajectory generation of a flying object.

Reference numeral 210 in FIG. 2A schematically shows a spline curve generated by the orbit data previously provided in the present embodiment.

Reference numerals 220 and 230 in FIG. 2B denote the starting point and the ending point of the flying object given according to the game situation. For example, if a character throws an object (flying object) in the three-dimensional game space, the point at which the object (flying object) is fired is the starting point, and the point at which the object (flying object) has reached is the end point.

Here, assuming that the object (flying object) reaches the end point from the starting point in n frames, it is necessary to find the position of the object (flying object) in each frame during this period.

Therefore, in the present embodiment, the spline curve 210 (see FIG. 2A) generated by the trajectory data is enlarged or reduced so that the distance between the start point 220 and the end point 230 of the flying object given according to the game situation is increased. To determine the position coordinates of the flying object (see FIG. 2B).

FIGS. 3A and 3B are diagrams for explaining the trajectory data according to the present embodiment.

In the present embodiment, the control points (C ₀ , C ₁ ,
The position coordinates of C ₃ , ‥, C _n−1 , C _n , C _{n + 1} ) (see FIG. 3A) are stored in the control point data table 350 (see FIG. 3B).

The position coordinates of the control points are given by values in a local coordinate system in which the starting point C ₁ is the origin O and the straight line including the reference vector V ₁ from the starting point C ₁ to the ending point C _n is the Z axis.

The reference vector V1 functions as a first vector. The position coordinates of each control point is the end point C _n
Are given on a scale such that the position coordinates of () become (0, 0, 1000).

Next, a process of enlarging or reducing the B-spline curve generated by the trajectory data to give the trajectory of the flying object will be described. In the present embodiment, the control points are coordinate-transformed based on the start point and the end point given in real time according to the game situation, and a B-spline curve serving as the trajectory of the flying object is generated based on the coordinate-transformed control point data. I do.

FIG. 4 is a diagram for explaining a process for obtaining a coordinate transformation matrix. SP and EP are obtained by translating the start point and end point of the flying object given in the world coordinate system so that the start point comes to the origin. Starting point S
The vector from P to the end point EP is the flight direction vector V
2 (vx, vy, vz), and the magnitude of V2 is L2. This flight direction vector V2 functions as a second vector.

Here, assuming that a vector obtained by projecting the flight direction vector V2 on the xz plane is V2 ', the magnitude L2' of V2 'is given by the following equation.

[0062]

(Equation 1)

The reference vector V1 is arranged on the z-axis so that the starting point is located at the origin O. Here, assuming that the magnitude of the reference vector is L1, L1 = 1 as described with reference to FIG.
000.

In the present embodiment, a scaling and rotation matrix at the time of coordinate transformation of a control point is obtained based on a reference vector (first vector) and a flight direction vector (second vector).

Here, the scale S is given by the following equation.

[0066]

(Equation 2)

If the rotation of the reference vector (first vector) and the flight direction vector (second vector) with respect to three axes is (rx, ry, rz), rx is given by θx, and ry is given by θy. Can be Therefore, rotations (rx, ry, rz) about three axes are given by the following equations.

[0068]

(Equation 3)

Thus, a transformation matrix for performing coordinate transformation of the control points is given by the following equation.

[0070]

(Equation 4)

FIG. 5 is a diagram showing control points after coordinate conversion by the obtained conversion matrix.

C₀’, C₁’, C_Two’, ‥, C_n-1’,
C_n’, C_{n + 1}’Is C₀, C₁, C _Two, ‥, C_n-1,
C_n, C_{n + 1}Represents the control points after the coordinate transformation.

The control points C ₀ ', C ₁ ', C
₂ ', ‥, C _n-1 ', C _n ', C _{n + 1} '
And a quadratic B-spline curve connecting the end points EP.

FIG. 6 is a diagram for explaining a method of generating a quadratic B-spline curve.

_Let P ₀ , P ₁ , ‥, _Pn be control points. Here, _assuming that a secondary B-spline curve having control points P ₀ , P ₁ , ‥, and P _n is {P (t) | 0 ≦ t ≦ n}, P (t) is given by the following equation.

[0076]

(Equation 5)

By changing the value of t in this equation, the coordinates of a point on the B-spline curve can be obtained. For example, by advancing the value of t for each frame,
The position coordinates of the flying object in each frame can be obtained.

FIG. 7 is a diagram for explaining the process of extracting the position coordinates of the flying object in each frame.

Reference numeral 520 represents one of a number of interpolation points on the B-spline curve. In this manner, a large number of interpolation points are provided, and a B-spline curve is generated as a set of position coordinates of the interpolation points. Thus, the position coordinates on the B-spline curve can be extracted from the interpolation coordinates.

For example, the flying object starts at the starting point SP over 7 frames.
When moving from to the end point EP, as shown in FIG.
The interpolation coordinates corresponding to each of the points F1 to F7 of the B-spline curve 510 are extracted as the position coordinates of the flying object in each frame.

Since P (t) is given as a function of t, by giving data of control points in advance at a density corresponding to the speed of the object, the position corresponding to the speed can be obtained simply by advancing the value of t. Coordinates can be easily taken out.

3. Next, a detailed example of the processing of the present embodiment will be described.

FIG. 8 is a flow chart showing the flow of processing when an object including a flying object is generated by obtaining the moving trajectory of the flying object.

First, as described with reference to FIG. 2B, the starting point and the ending point of the trajectory curve are obtained from the launch position and the arrival position of the flying object (step S10). That is, the launch position is set as the starting point, and the arrival position is set as the end point.

Next, as described with reference to FIG. 4, based on the first vector from the start point to the end point of the control point and the second vector from the firing position (start point) to the arrival position (end point), A scaling and rotation matrix is obtained (step S20).

Next, based on the obtained scaling and rotation matrix, the coordinate transformation of the control point which is provided in advance is performed (step S30).

Next, a B-spline curve is generated based on the control points converted as described with reference to FIG. 6, and the interpolation coordinates on the curve are obtained (step S40).

The processes in steps S50 to S60 are performed until the flying object reaches the arrival position (step S7).
0).

First, as described with reference to FIG. 7, the interpolation coordinates corresponding to the time parameter t are determined as the position of the flying object in the frame (step S50).

The flying object is arranged at the determined position to generate an image of the frame (step S60).

4. Hardware Configuration Next, an example of a hardware configuration capable of realizing the present embodiment will be described with reference to FIG.

The main processor 900 has a CD 982
(Information storage medium), a program transferred via the communication interface 990, or a program stored in the ROM 950 (one of the information storage media).
Various processes such as sound processing are executed.

The coprocessor 902 assists the processing of the main processor 900, has a multiply-accumulate unit and a divider capable of high-speed parallel operation, and executes a matrix operation (vector operation) at high speed. For example, when a physical simulation for moving or moving an object requires processing such as matrix operation, a program operating on the main processor 900 instructs the coprocessor 902 to perform the processing (request ).

The geometry processor 904 performs geometry processing such as coordinate transformation, perspective transformation, light source calculation, and curved surface generation. The geometry processor 904 includes a multiply-accumulate unit and a divider capable of high-speed parallel operation, and performs a matrix operation (vector operation). Calculation) at high speed. For example, when performing processing such as coordinate transformation, perspective transformation, and light source calculation, a program operating on the main processor 900 instructs the geometry processor 904 to perform the processing.

The data decompression processor 906 performs a decoding process for decompressing the compressed image data and sound data, and performs a process for accelerating the decoding process of the main processor 900. As a result, a moving image compressed by the MPEG method or the like can be displayed on an opening screen, an intermission screen, an ending screen, a game screen, or the like. The image data and sound data to be decoded are stored in the ROM 950,
It is stored on a CD 982 or transferred from outside via a communication interface 990.

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

The sound processor 930 incorporates a multi-channel ADPCM sound source and the like, and generates high-quality game sounds such as BGM, sound effects, and sounds. The generated game sound is output from the speaker 932.

[0098] Operation data from the game controller 942, save data and personal data from the memory card 944 are transferred via the serial interface 940.

The ROM 950 stores a system program and the like. In the case of the arcade game system, the ROM 950 functions as an information storage medium,
Various programs are stored in 950. Note that a hard disk may be used instead of the ROM 950.

The RAM 960 is used as a work area for various processors.

The DMA controller 970 is a device for controlling the DM between the processor and the memories (RAM, VRAM, ROM, etc.).
A transfer is controlled.

The CD drive 980 stores a CD 982 in which programs, image data, sound data, and the like are stored.
(Information storage medium) to enable access to these programs and data.

The communication interface 990 is an interface for transferring data to and from the outside via a network. In this case, a network connected to the communication interface 990 may be a communication line (analog telephone line, ISDN), a high-speed serial bus, or the like. Then, data can be transferred via the Internet by using a communication line. Further, by using the high-speed serial bus, data transfer with another game system becomes possible.

Each of the means of the present invention may be entirely executed by hardware, or executed only by a program stored in an information storage medium or a program distributed via a communication interface. Is also good. Alternatively, it may be executed by both hardware and a program.

When each means of the present invention is executed by both hardware and a program, a program for executing each means of the present invention using hardware is stored in the information storage medium. Will be. More specifically, the program instructs the processors 902, 904, 906, 910, 930, etc., which are hardware, to perform processing, and passes data if necessary. Then, each processor 902, 904, 906, 910,
930, etc., based on the instruction and the passed data,
Each means of the present invention will be executed.

FIG. 10A 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. Various processors, various memories, and the like are mounted on a built-in system board (circuit board) 1106. Information (program or data) for executing each unit of the present invention is stored in a memory 1108 which is an information storage medium on the system board 1106. Hereinafter, this information is referred to as storage information.

FIG. 10B 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 storage information is stored in a CD 1206 or a memory card 1208, 1209, which is an information storage medium detachable from the main system.

FIG. 10C shows a host device 1300,
The host device 1300 and the network 1302 (LA
N or a wide area network such as the Internet).
An example in which the present embodiment is applied to a system including 4-1 to 1304-n (game machine, mobile phone) will be described. In this case, the storage information is stored in an information storage medium 1306 such as a magnetic disk device, a magnetic tape device, or a memory that can be controlled by the host device 1300. Terminal 1304
If -1 to 1304-n can generate a game image and a game sound in a stand-alone manner, the host device 13
From 00, game images and game programs for generating game sounds are delivered to the terminals 1304-1 to 1304-n. On the other hand, if it cannot be generated stand-alone, the host device 1300 generates a game image and game sound, transmits them to the terminals 1304-1 to 1304-n, and outputs them.

In the case of the configuration shown in FIG. 10C, each means of the present invention may be executed in a distributed manner between a host device (server) and a terminal. Further, the storage information for executing each means of the present invention may be stored separately in an information storage medium of a host device (server) and an information storage medium of a terminal.

The terminal connected to the network may be a home game system or an arcade game system. When the arcade game system is connected to a network, a save information storage device capable of exchanging information with the arcade game system and exchanging information with the home game system. (Memory card, portable game device) is desirable.

The present invention is not limited to the embodiment 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.

Further, in the present embodiment, the case where the quadratic B-spline curve is obtained based on the coordinate-transformed control points has been described as an example, but the present invention is not limited to this. For example, the trajectory curve may be generated by another curve interpolation method.

In the present embodiment, the case where the trajectory of the flying object is obtained using the trajectory curve has been described as an example. However, the present invention is not limited to this. For example, the movement locus of a freely moving object such as a butterfly, a bird, or a fish may be obtained.

The present invention can be applied to various games (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 game systems (image generation systems) such as a business game system, a home game system, a large attraction system in which many players participate, a simulator, a multimedia terminal, and a system board for generating game images. System).

[Brief description of the drawings]

FIG. 1 is an example of a functional block diagram of a game system according to an embodiment.

FIGS. 2A and 2B are diagrams for conceptually explaining generation of a trajectory of a flying object;

FIGS. 3A and 3B are diagrams for explaining trajectory data according to the present embodiment.

FIG. 4 is a diagram for describing a process of obtaining a coordinate transformation matrix.

FIG. 5 is a diagram illustrating control points after coordinate conversion using a calculated conversion matrix.

FIG. 6 is a diagram for explaining a method of generating a quadratic B-spline curve.

FIG. 7 is a diagram for describing a process of extracting position coordinates of a flying object in each frame.

FIG. 8 is a flowchart illustrating a process flow when an object including a flying object is generated by obtaining a movement locus of the flying object.

FIG. 9 is a diagram illustrating an example of a hardware configuration capable of realizing the embodiment;

FIGS. 10A, 10B, and 10C are diagrams showing examples of various types of systems to which the present embodiment is applied;

[Explanation of symbols]

 Reference Signs List 100 processing unit 110 object space setting unit 112 trajectory curve generation unit 114 position control unit 120 image generation unit 122 texture mapping processing unit 130 sound generation unit 160 operation unit 170 storage unit 172 main storage unit 174 drawing area 176 texture area 180 information storage medium 182 motion data 184 trigger data 190 display section 192 sound output section 194 portable information storage device 196 communication section

 ────────────────────────────────────────────────── ─── Continued on the front page F term (reference) 2C001 AA03 AA06 AA17 BB01 BB05 BC01 BC06 CB05 CB06 CC08 5B050 AA10 BA08 BA09 BA11 CA07 EA12 EA27 FA02 FA10

Claims (12)

[Claims] 1. A trajectory curve that generates a trajectory curve passing through a starting point and an ending point given in real time according to a game situation based on control point data for generating a trajectory curve. A game system comprising: a generation unit; and a unit that controls the position of an object based on the trajectory curve. 2. The trajectory curve generating means according to claim 1, wherein the trajectory curve generating means performs coordinate conversion of the control point based on a start point and an end point given in real time according to a game situation, and based on control point data after the coordinate conversion. A game system for generating a trajectory curve. 3. The trajectory curve generating unit according to claim 2, wherein the trajectory curve generation means obtains a first vector from the start point to the end point based on the start point and the end point given as the control point data, and gives the first vector in real time according to a game situation. A second vector from the start point to the end point is obtained based on the obtained start point and end point, and a scaling and rotation matrix at the time of coordinate transformation of the control point is obtained based on the first vector and the second vector. A game system for performing coordinate transformation of control points based on a scaling and rotation matrix. 4. The trajectory curve according to claim 1, wherein the trajectory curve is given based on the time t progressing for each frame by performing curve interpolation based on the control point data to obtain a trajectory curve using time t as a parameter. A game system wherein upper position coordinates are given as position coordinates of an object of the frame. 5. The game system according to claim 1, wherein control point data is given in advance at a density corresponding to the speed of the object. 6. The launch point of an object according to claim 1, wherein the launch point of the object is determined based on a game situation.
A game system wherein an arrival point is given as a start point and an end point, respectively. 7. An information storage medium usable by a computer, wherein a trajectory curve passing through a start point and an end point given in real time according to a game situation is generated based on control point data for generating a trajectory curve. An information storage medium, comprising: a program for executing: a trajectory curve generating means; and a means for controlling the position of an object based on the trajectory curve. 8. The trajectory curve generating means according to claim 7, wherein the trajectory curve generating means performs coordinate conversion of the control points based on a start point and an end point given in real time according to a game situation, and based on the control point data after the coordinate conversion. An information storage medium including a program for generating a trajectory curve. 9. The trajectory curve generating means according to claim 8, wherein the trajectory curve generation means obtains a first vector from the start point to the end point based on the start point and the end point given as the control point data, and gives the first vector in accordance with a game situation. A second vector from the start point to the end point is obtained based on the obtained start point and end point, and a scaling and rotation matrix at the time of coordinate transformation of the control point is obtained based on the first vector and the second vector. An information storage medium including a program for performing coordinate conversion of a control point based on a scaling and a rotation matrix. 10. The trajectory curve according to claim 7, wherein the trajectory curve is given based on the time t progressing for each frame by obtaining a trajectory curve using time t as a parameter by performing curve interpolation based on the control point data. An information storage medium wherein upper position coordinates are given as position coordinates of an object of the frame. 11. The information storage medium according to claim 7, wherein control point data is given in advance at a density corresponding to the speed of the object. 12. The launch point of an object according to claim 7, wherein the launch point of the object is determined based on a game situation.
An information storage medium comprising a program for giving an arrival point as a start point and an end point, respectively.