JP2017023756A - Game system, control method and program - Google Patents

Abstract

PROBLEM TO BE SOLVED: To realize accurate simulation of a carry and a movement direction of a ball.SOLUTION: A method comprises: calculating and displaying a trajectory (ideal line) to allow a player to perform an ideal slide operation (S102); acquiring touch information when the player performs a slide operation on the basis of the ideal line (S103); analyzing the touch information to compare the ideal line and the touch trajectory (S104); calculating and setting a 3-dimensional flight initial condition on the basis of results of the analysis and comparison (S105); sequentially calculating a 3-dimensional flight track of the ball on the basis of the initial condition (S106); and calculating a run after the ball lands (S107).SELECTED DRAWING: Figure 3

Description

  The present invention relates to a game system, a control method, and a program for simulating a three-dimensional flight trajectory by causing the ball to fly by hitting or spinning, and in particular, initial conditions necessary for calculating the three-dimensional flight trajectory of the ball (ball The present invention relates to a game system, a control method, and a program characterized by a setting method of initial velocity (vector), rotation axis direction, and spin amount.

  A guide locus for causing the player to perform a batting operation (slide operation) is displayed on the operation screen, and when the slide operation is performed in the clockwise direction so as to trace the guide locus, the player character is caused to backswing, A golf game apparatus has been proposed in which the direction of the slide operation is reversed within a range not exceeding the end point, and the player character is caused to downswing when the slide operation is executed in the counterclockwise direction (see Patent Document 1). .

  Patent Document 1 also discloses that the speed and smoothness of the slide operation affect the flight distance of the ball, and the accuracy of the slide operation affects the moving direction of the ball.

JP 2012-70960 A

  The golf game device of Patent Document 1 affects the flying distance and moving direction of the ball depending on the speed, smoothness, and accuracy of the slide operation. It is calculated using a given function with the speed, smoothness, and accuracy of the slide operation as variables, and it is difficult to realize an accurate simulation regarding the flight distance and movement direction of the ball. It was.

  The present invention has been made paying attention to the above circumstances, and the object is to provide initial conditions necessary for calculating the three-dimensional flight trajectory of the ball (initial velocity (vector) of the ball, direction of the rotation axis, spin It is an object of the present invention to provide a game system, a control method, and a program that can obtain an accurate distance and direction of movement of a ball by giving a quantity, and that can easily set the initial conditions.

  A basic form of the present invention for solving the above problems is a game system that simulates a three-dimensional flight trajectory by hitting or spinning a ball to fly, and has an initial condition for optimal three-dimensional flight. An ideal line display means for displaying a given touch trajectory as an ideal line; a touch information acquisition means for acquiring a touch trajectory by a player and storing it as touch information; and an initial stage for three-dimensional flight based on the ideal line and the touch information. The present invention relates to a game system comprising initial condition calculation / setting means for calculating / setting conditions, and three-dimensional flight trajectory calculation means for calculating a three-dimensional flight trajectory of the ball based on the initial conditions.

  According to the present invention, it is possible to realize an accurate simulation of the flying distance and moving direction of the ball, as well as initial conditions necessary for calculating the three-dimensional flying trajectory of the ball (the initial velocity (vector) of the ball, the direction of the rotation axis). , Spin amount) can be easily set.

FIG. 1 is a block diagram showing a configuration of a system according to an embodiment of the present invention. FIG. 2 is a block diagram showing an example of a hardware configuration for realizing the system according to the embodiment of the present invention. FIG. 3 is a flowchart showing an example of a process for a golf game according to an embodiment of the present invention. FIG. 4A is an explanatory view schematically showing a display screen of the golf game and one mode of operation according to the embodiment of the present invention. FIG. 4B is an explanatory diagram schematically showing a display screen of the golf game and one mode of operation according to the embodiment of the present invention. FIG. 4C is an explanatory view schematically showing a display screen of the golf game and one mode of operation according to the embodiment of the present invention. FIG. 5 is an explanatory diagram for explaining a three-dimensional flight trajectory of a golf ball. FIG. 6 is a schematic diagram for explaining a mechanism by which a golf ball slices.

The outline of the embodiment of the present invention is listed as an example as follows.
[Form 1]
A game system that strikes and spins a ball to fly and simulates a three-dimensional flight trajectory,
An ideal line display means for displaying, as an ideal line, a touch trajectory that gives initial conditions for optimal three-dimensional flight;
Touch information acquisition means for acquiring a touch trajectory by the player and storing it as touch information;
Initial condition calculation / setting means for calculating / setting an initial condition for three-dimensional flight based on the ideal line and the touch information;
3D flight trajectory calculating means for calculating the 3D flight trajectory of the ball based on the initial condition;
A game system characterized by comprising:
According to the first embodiment, it is possible to realize an accurate simulation regarding the flight distance and movement direction of the ball.

[Form 2]
Moreover, in the said form 1, you may make it further provide the run calculation means which calculates the run after a ball landing.
According to the second embodiment, it is possible to realize an accurate simulation regarding the stop position of the ball in consideration of the run after the ball has landed.

[Form 3]
In the first or second aspect, the initial condition may be given by the initial velocity (vector) of the ball, the direction of the rotation axis, and the spin amount.
According to the third embodiment, a three-dimensional flight trajectory can be accurately simulated as a rigid body motion.

[Form 4]
In the third aspect, the initial velocity (vector) of the ball is determined by the magnitude of the initial velocity, the initial lateral blur angle, and the launch angle. The magnitude of the initial velocity, the initial lateral blur angle, and the launch angle are determined as the ideal speed. It may be determined based on the line and the touch information.
According to the fourth embodiment, the initial velocity (vector) of the ball can be given in spherical coordinate display, and the compatibility with the touch information can be improved when setting the initial velocity (vector) of the ball.

[Form 5]
In modes 1 to 4, the game may be a golf game.
According to the fifth embodiment, an accurate simulation of the three-dimensional flight trajectory and run of the golf ball can be realized.

Another embodiment of the present invention relates to a control method having substantially the same contents as the above-described systems, and a program for realizing the method by a computer.
The method and the program also have the same operational effects as the system.

  In understanding the present invention, it is important to understand the technical background related to the calculation of the three-dimensional flight trajectory of a ball. Accordingly, taking a three-dimensional flight trajectory calculation of a golf ball as an example, the outline will be described within a range necessary for understanding the present invention. The following explanation is basically based on the paper “Aerodynamic measurement and three-dimensional flight trajectory analysis of golf balls” published in “Nagare 23 (2004) 203-211”. It should be noted that this is an example of the technical background of the present invention, and the present invention should not be construed in a limited manner by the paper.

First, in order to formulate the three-dimensional golf ball trajectory, a coordinate system and symbols are defined as shown in FIG. FIG. 5 shows a case where the golf ball is launched with respect to the X-axis (β ₀ = 0), and FIG. 5 shows a case where the ball is sliced and turns to the right. The direction is in the XY plane, the vertical direction is the Y axis, and the lateral blur direction is the Z axis.

The golf ball is launched at an initial velocity U ₀ and an elevation angle of α ₀ from the X axis, and the rotation axis Z _R is inclined from the Z axis by θ. During the flight, the drag force D, lift force L, gravity mg, and torque T (D, L, mg, T are vectors) are acting on the ball rotating at the rotation speed N, but the lift force L is the Y axis. Since the ball is tilted with respect to the direction, the ball bends while changing the side roll angle β every moment. The (Xt, Yt, Zt) coordinates in the figure are the movement coordinates with the ball center as the origin at time t.

Next, the mechanism by which the ball slices will be described with reference to the schematic diagram of FIG. X-axis horizontal component of the flight trajectory direction of the ball, Z-axis in the horizontal orthogonal axis direction, the vertical direction of gravity when the Y-axis, the ball in flight, rotating at backspin certain rotation axis Z _R around ( Rotational speed N (rps)). The direction of the rotation axis is determined when the ball leaves the club, and in the case of slicing, it is tilted to the right (rotation axis tilt angle θ (deg)).

  The ball generates lift L depending on the rotational speed N. Since the lift L is perpendicular to the rotation axis, it is inclined to the right by the angle θ with respect to the vertical direction. For this reason, a force of Lsinθ acts in a direction perpendicular to the flying ball direction and in a lateral direction to the right, and this force becomes a driving force for bending the ball to the right. Then, it is considered that the inclination of the rotation axis is always inclined within a cross section perpendicular to the flying ball direction.

  Further, although the rotation speed N around the rotation axis of the golf ball is attenuated by the fluid torque T, the golf ball rotates at a high speed, and therefore the rotation axis tries to keep the direction of the rotation axis constant. Is assumed to be kept constant until the ball lands.

The magnitude | D | of the drag D, the magnitude | L | of the lift L, the magnitude | T | of the torque T are drag coefficients C _D , lift coefficient C _L , and fluid torque coefficient. Each is expressed as follows using C _m .
| D | = 0.5ρ | U | ² A * C _D (1)
| L | = 0.5ρ | U | ² A * C _L (2)
| T | = 0.5ρ | U | ² Ad * C _m (3)
Where ρ: air density, | U |: magnitude of the flying speed of the ball, A: golf ball diameter cross-sectional area, and d: golf ball diameter.

Here, the aerodynamic parameters of the drag coefficient C _D , the lift coefficient C _L , and the fluid torque coefficient C _m can be approximately expressed as a function of the rotational speed and flying speed of the ball. Each aerodynamic parameter is also dependent on the shape, arrangement and arrangement of dimples attached to the golf ball.

Drag (vector) D, it is the velocity (vector) U opposite direction of the ball, lift (vector) L is Considering that like for Chokuko speed of the ball and (vector) U to the rotation axis Z _R It is possible to easily derive the equation of motion (differential equation) of the ball in flight, given the initial velocity (vector) of the ball, the direction of the axis of rotation, and the spin rate as the initial conditions. The rotation speed can be obtained by numerical calculation (for example, Euler method).

  Hereinafter, an embodiment according to the present invention will be described in detail with reference to the drawings. In addition, this invention should not be limited to embodiment described below, and should be interpreted based on description of a claim. In addition, it should be noted that those skilled in the art can use other similar embodiments, and can make changes or additions as appropriate without departing from the present invention.

  FIG. 1 is a block diagram showing a configuration of a system 1 according to an embodiment of the present invention. The system 1 includes “ideal line display means 2”, “touch information acquisition means 3”, “initial condition calculation / setting means 4 based on ideal line and touch information”, and “three-dimensional flight trajectory calculation means 5”. ing.

The system 1 may include a “run calculation unit 6”.
Details of the functions performed by the components 2 to 6 of the system 1 will be described in detail below.

  FIG. 2 is a block diagram showing an example of a hardware configuration 10 for realizing the system 1 according to the embodiment of the present invention. The hardware configuration 10 includes a CPU 11, a GPU (graphic processor unit) 12, an interface 13, and a storage unit 14. The CPU 11, GPU 12, interface 13, and storage unit 14 are connected by a bus 15.

  For example, an operation unit 16 including an operation button group (not shown) and a touch screen is connected to the interface 13. In addition, for example, a sound output unit 17 for outputting game sound or the like is connected to the interface 13.

  A display unit 19 is connected to the GPU 12, and a VRAM (video RAM) 20 is connected via a memory bus 21. Note that the operation unit 16 and the display unit 19 may be integrated to form a touch panel.

  For example, the CPU 11 performs a process for controlling the game by executing a program downloaded from the outside.

  The GPU 12 performs a drawing process according to an instruction from the CPU 11 and displays a game image on the display unit 19. Further, the GPU 12 performs a drawing process in accordance with an instruction from the CPU 11 according to an operation input of the operation unit 16 by the user, and displays it on the display unit 19.

  The interface 13 controls data exchange between the CPU 11 and the operation unit 16 or a peripheral device (not shown).

  Next, an outline of an example of processing of the system 1 according to the embodiment of the present invention will be described based on an example of a golf game as shown in FIGS. 3 and 4A to 4C.

  When the execution of the golf game is instructed from the executable games displayed on the main menu screen (not shown), the golf game is started (S101), and as shown in FIG. Character 102 is displayed. As can be seen from FIG. 4A, the player character 102 has a golf club (hereinafter simply referred to as “club”) 104 and enters a posture (address) for hitting a golf ball (hereinafter simply referred to as “ball”) 106. The state of

  In addition, a distance from the hitting position to the cup (here, Yard (Y)) is displayed at the top of the game screen 100, and an image obtained by shooting the golf course with the virtual camera from behind the player character 102 is used as a background image. Is displayed. Note that the viewpoint of the virtual camera may be a long-distance viewpoint or a bird's-eye viewpoint so that the state of the hall can be confirmed over a wide range.

  Next, as shown in FIG. 4B, a trajectory (ideal line) 110 for causing the player to perform an ideal slide operation is calculated and displayed on the game screen 100 (S102). Note that the ideal line 110 may draw different trajectories depending on the type of golf club selected by the player.

  As shown in FIG. 4B, the player designates the start position of the swing operation by touching an appropriate position 112 in the vicinity of one end point of the ideal line 110 on the game screen 100, and slides in a predetermined direction corresponding to the backswing. After the operation is continued, as shown in FIG. 4C, the direction of the slide operation is reversed at an appropriate position 114 near the other end point of the ideal line 110, and the slide in the direction opposite to the predetermined direction corresponding to the downswing is performed. When the operation is executed and the touch operation is ended at an appropriate position 116 near one end point of the ideal line 110, touch information is sequentially acquired (S103), and the touch locus 120 is displayed on the game screen 100. In addition, in order to distinguish between the ideal line 110 and the touch locus 120, the line thickness and color are changed. The down swing may include a follow through.

  In conjunction with the player's slide operation, the player character 102 performs a swing motion, and an animation is displayed on the screen so that the player character 102 performs a back swing, a down swing, and a follow-through motion (FIGS. 4A to 4C). (See FIG. 4C).

  Upon completion of the touch operation, analysis of touch information and comparison between the ideal line 110 and the touch locus 120 are performed (S104). Details will be described later.

  Next, based on the analysis result and the comparison result, initial conditions (the initial velocity (vector) of the ball, the direction of the rotation axis, the spin amount) for performing the three-dimensional flight trajectory calculation are calculated and set (S105). Details of the initial condition calculation / setting method will be described later.

  Next, the three-dimensional flight trajectory calculation of the ball 106 is sequentially executed based on the set initial conditions (the initial velocity (vector) of the ball, the direction of the rotation axis, and the spin amount) (S106). The principle of the three-dimensional flight trajectory calculation is as described above.

  Next, the run (distance, direction) after the ball 106 has landed is calculated (S107). And the total flight distance of the ball | bowl containing the calculated | required run is displayed on the center of the game screen 100 as needed.

  Hereinafter, initial conditions (ball initial velocity (vector), rotation axis direction) based on touch information acquisition, analysis, comparison between ideal line and touch trajectory, touch information analysis result and ideal line and touch trajectory comparison result The details of the calculation and setting of the spin amount) will be described.

Acquisition and analysis of touch information When the player performs a touch operation on the screen, the contact of an object with the touch screen is detected, and the start position of the touch operation corresponding to the start position of the swing operation is designated. Then, the touch position on the touch screen is detected and stored at a predetermined cycle (for example, a frame rate of 30 fbps).

  In this way, when the slide operation in a predetermined direction corresponding to the backswing is continued, the touch position information is sequentially acquired, and the slide operation from the touch start point is performed based on the touch position information recorded for each frame. A trajectory corresponding to is displayed on the screen. Thereby, the player can confirm the locus.

  The trajectory is drawn by connecting the touch position (coordinate position) of the previous frame and the touch position (coordinate position) of the current frame with a line, but the touch position (coordinate position) of the previous frame and the touch position of the current frame are drawn. By calculating the distance to (coordinate position) and dividing the calculated distance by the frame rate, the speed of the slide operation is calculated. Information on the speed of the slide operation is also stored as necessary.

  For example, the reversal position of the slide operation may be specified as follows. That is, when the touch position (coordinate position) of the previous frame and the touch position (coordinate position) of the current frame are connected by a line, the touch position (coordinate position) of the previous frame is set as the start point, and the touch position (coordinate position) of the current frame is obtained. A two-dimensional vector as the end point is obtained for each frame. The projection of the vector of the current frame (projection vector) is calculated with respect to the vector of the previous frame, and the direction of the vector of the previous frame and the projection of the current frame are calculated. When the vector directions differ by 180 °, the touch position of the previous frame may be set as the reverse position of the touch operation.

  In this case, the trajectory from the start point position of the touch operation to the reverse position corresponds to a backswing, and the trajectory from the reverse position of the touch operation to the end point position corresponds to a downswing. Note that the length of the locus from the start position of the touch operation to the reverse position corresponds to the backswing amount.

Comparison of ideal line and touch trajectory When the ideal line trajectory is a curve obtained by projecting a curve on a predetermined spherical surface onto the screen, a virtual image obtained by projecting the center of the predetermined sphere onto the screen Find the intersection of the ideal line and the straight line that passes through the center point and the touch position for each frame, calculate the distance between the touch position and the intersection for each frame, and calculate the amount of deviation from the ideal line for each frame. Ask. The average of these deviation amounts is taken as the deviation amount from the ideal line. The shift amount is positive when the touch position is closer to the virtual center point than the ideal line, and negative when the touch position is far from the ideal line.

  In addition, although the case where the locus | trajectory of a touch position meanders and cross | intersects an ideal line and draws an S shape is assumed, in such a case, the amount of deviation will take a positive / negative value. In such a case, for example, when the total amount of positive displacement is larger than the total absolute value of negative displacement, the negative displacement amount is ignored and the average of the positive displacement amounts is set to the ideal line. You may make it employ | adopt as deviation | shift amount from. If the total absolute value of the negative deviation is greater than the total positive deviation, ignore the positive deviation and use the average of the negative deviation as the deviation from the ideal line. You may do it.

Calculation and setting of initial conditions (the initial velocity (vector) of the ball, the direction of the rotation axis, the spin amount) based on the analysis result of the touch information and the comparison result between the ideal line and the touch trajectory . An example of a method for setting initial conditions will be described in detail below.
(1) Initial velocity of the ball (vector)
The initial velocity (vector) of the ball is determined by the magnitude of the initial velocity, the initial lateral blur angle, and the launch angle (elevation angle).
The magnitude of the initial speed is determined by the club head speed and the rebound performance of the ball, but the club head speed is highly correlated with the backswing amount, so the magnitude of the initial speed is the starting position of the touch operation. Is set as a function of the length of the trajectory from to the reversal position. In setting the initial speed, information on the speed of the slide operation may be taken into account.
The initial lateral blur angle is set as a function of the deviation amount from the ideal line, but as described above, the deviation amount can take a positive or negative value, and accordingly, the initial lateral blur angle also takes a positive or negative value. I can take it.
The launch angle (elevation angle) depends on the loft angle of the club to be used, and is set by adding a correction amount calculated from touch information to a reference launch angle determined for each club. In this case, the correction amount calculated from the touch information is, for example, an angle (hereinafter referred to as “correction angle”) formed by a line segment connecting the center of the predetermined sphere that determines the ideal line and the start and end positions of the touch operation. Calculated by multiplying this by a coefficient determined for each club.

(2) Direction of rotation axis For example, the direction of the rotation axis is set in advance with a function having the correction angle as a variable, and a predetermined direction (for example, the positive direction of the X axis) is set as a reference direction. It is determined by rotating around the Z-axis by the function value.

(3) Spin amount The spin amount is set by adding a correction amount calculated from touch information to a reference spin amount determined for each club to be used. In this case, the correction amount calculated from the touch information is calculated by multiplying the correction angle by a coefficient determined for each club.

  Also, regarding the run direction and distance when the ball lands and runs after flight, the ball bounces based on, for example, the speed (vector) at the time of landing of the ball, the rotational speed, the inclination of the landing point, the dynamic friction coefficient, etc. The run direction and distance can be simulated by numerically calculating the rolling and rolling. In addition, since the launch angle is considered to be a dominant factor, the run distance when hit with a driver can be set as a function of the launch angle as a simple method.

  As for the bounce behavior of the ball, it is necessary to consider that the spin and speed of the ball give energy to each other due to the dynamic friction coefficient of the ground, and that the reflection on the ground is attenuated by a repulsion coefficient. . Further, regarding the ball rolling, the angular velocity of the ball can be obtained after calculating the acceleration due to the downhill due to gravity and the acceleration due to the rolling resistance of the ground, and the distance over which the ball rolls can be obtained based on the angular velocity.

  As described above, the golf game has been described as an example. However, the present invention is not limited to this, and can be applied to a game in which a ball is hit or spun to fly, for example, a game using a baseball ball or a soccer ball. Needless to say.

  Each means constituting the system may be dedicated hardware, but is virtual means (so-called function realization means) realized at each processing stage by the computer executing a program. May be.

The system may be mounted on a game-dedicated device, but is mounted on a portable terminal such as a mobile phone, a smartphone, a PDA (Personal Digital Assistant), or a portable personal computer owned by the user. It may be a thing.

Furthermore, the system can be configured as a game system in which each process for executing a game is distributedly processed by a plurality of computers or the like.

DESCRIPTION OF SYMBOLS 1 System 2 Ideal line display means 3 Touch information acquisition means 4 Initial condition calculation and setting means based on ideal line and touch information 5 Three-dimensional flight trajectory calculation means 6 Run calculation means 10 Hardware configuration 11 CPU
12 GPU
13 Interface 14 Storage Unit 15 Bus 16 Operation Unit 19 Display Unit 20 VRAM
21 Memory bus 100 Game screen 102 Player character 104 Golf club 106 Golf ball 110 Ideal line 112 Touch operation start point position 114 Touch operation reverse position 116 Touch operation end point position 120 Touch locus

Claims (11)

A game system that strikes and spins a ball to fly and simulates a three-dimensional flight trajectory,
An ideal line display means for displaying, as an ideal line, a touch trajectory that gives initial conditions for optimal three-dimensional flight;
Touch information acquisition means for acquiring a touch trajectory by the player and storing it as touch information;
Initial condition calculation / setting means for calculating / setting an initial condition for three-dimensional flight based on the ideal line and the touch information;
3D flight trajectory calculating means for calculating the 3D flight trajectory of the ball based on the initial condition;
A game system characterized by comprising:   The game system according to claim 1, further comprising a run calculation means for calculating a run after the ball has landed.   3. The game system according to claim 1, wherein the initial condition is given by an initial velocity (vector) of a ball, a direction of a rotation axis, and a spin amount.   4. The game system according to claim 3, wherein the initial velocity (vector) of the ball is determined by the magnitude of the initial velocity, the initial lateral blur angle, and the launch angle, and the magnitude of the initial velocity, the initial lateral blur angle, and the launch angle are: The game system is determined based on the ideal line and the touch information.   The game system according to claim 1, wherein the game is a golf game. It is a game control method that simulates a three-dimensional flight trajectory by hitting or spinning a ball and flying.
Displaying a touch trajectory giving an initial condition for optimal three-dimensional flight as an ideal line;
Acquiring a touch trajectory by the player and storing it as touch information;
Calculating and setting initial conditions for three-dimensional flight based on the ideal line and the touch information;
Calculating a three-dimensional flight trajectory of the ball based on the initial condition;
A control method comprising:   The control method according to claim 6, further comprising a step of calculating a run after the ball has landed.   8. The control method according to claim 6, wherein the initial condition is given by an initial velocity (vector) of a ball, a direction of a rotation axis, and a spin amount.   9. The control method according to claim 8, wherein the initial velocity (vector) of the ball is determined by the magnitude of the initial velocity, the initial lateral blur angle, and the launch angle, and the magnitude of the initial velocity, the initial lateral blur angle, and the launch angle are: The control method is determined based on the ideal line and the touch information.   The control method according to any one of claims 6 to 9, wherein the game is a golf game.   The program for making a computer perform the control method of any one of Claims 6-10.

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