JP6714799B2 - Predicting program for putting line and device using the program - Google Patents

Description

The present invention is related to golf putting, and is a program that uniquely selects and predicts a putting line desired by a player from among an infinite number of putting lines to be put into a cup, and a putting aiming at a putting line that is easy to cup in. The present invention relates to a device for displaying a virtual cup position so that a person can execute it.

As a predictive display method of a putting line of a golf ball, there is a method of predicting a trajectory of a ball to be cupped in and displaying it on a television screen by comparing a constant value of the ball speed with a ball speed at a cup position (for example, Patent Reference 1.).

In order to practice a long putt in the room of a general household, the initial velocity and launch angle of the ball are calculated by an electronic circuit, and based on these, the position of the ball rolling on the virtual green is simulated by sequential calculation, and this There is one in which the result is displayed on a television screen (for example, refer to Patent Document 2).

JP, 8-71194, A [Patent Document 1] JP-A-8-057093

One of the difficult things about putting is predicting the putting line. It is not uncommon for athletes who play only a few times a year on the golf course to make shorts on steep uphill slopes so that they do not reach even half, or to double over the cup on downhill slopes. It is difficult for athletes to improve their putting skills because they have little experience of putting on various slopes.

Therefore, by applying the above-mentioned prior art, it shows the putting line and the launching direction and strength of the putt where the cup-in is expected under various greens to electronic devices such as personal computers and smartphones, and assists the putting of athletes. It is possible.

However, the conventional technique has been difficult to implement in the following two points. The first problem is that there can be innumerable putting lines for the ball to enter the cup. In some cases, the competitor may want to make a cup-in so as to stop at the last minute of the cup while drawing an arc according to the slope of the green, and in other cases, the competitor may want to make a strong, straight-line cup-in regardless of the slope of the green. There are countless combinations of the launch direction of the ball to be cupped in and the initial velocity given to the ball.

If you putt vigorously, the trajectory will be linear and the probability of cup-in will increase, but if you put off the cup, it will greatly exceed, so there is a high risk of 3 putts and 4 putts. On the other hand, if the player putts weakly to finally reach the cup, the trajectory traces an arc, so the probability of cup-in is low, but even if it falls off, the ball will stop in the vicinity of the cup, so 3 putts or 4 putts. The risk of is low and in most cases you can cup in with 2 putts.

The kind of putting line to be adopted should be selected by the competitor depending on the competitor's preference, psychological state and competition situation. For example, if a player wants a putting line with the strength to pass over the cup and stop it by 43 cm when the hole in the cup is blocked, the putting line to achieve that is predicted. It is desirable to specify the combination of the ball launch direction and the initial velocity given to the ball. The conventional invention does not have a technique for selecting and predicting the only putting line desired by the athlete from among the infinite number of putting lines for cup-in.

The second issue was that it was difficult to convey to the athletes in an easy-to-understand manner so that even if the putting line where the electronic device cups in could be predicted, the athlete could realize it. For example, if the putt is put out so that the initial velocity of the ball is 1.5 m/s in the clockwise direction of 3 degrees toward the cup, even if it is displayed on the electronic device when the cup is inserted, Competitors have difficulty putting at the indicated speed. On the contrary, there was no way to accurately convey the strength of the pad that the athlete thinks to the electronic device.

As a method of transmitting the strength of putting to the player, it is possible to display a virtual cup as the target position for putting on the screen of the electronic device instead of the initial velocity of the ball. For example, if you have to put a strong putt on the ascending putt, display a virtual cup at a position farther than the actual cup position, and conversely, if you need to put a weak putt on the descending putt, display a virtual cup closer than the actual cup To do. If the slice line has the green inclined to the right, the virtual cup will be displayed to the left of the actual cup, and if the green is inclined to the left, the virtual cup will be displayed to the right of the actual cup. .. Then, the player virtually puts the cup at the displayed position, and putts according to the sense of distance the player has, that is, the sense of distance of the player.

The player's sense of distance, in which the ball rolls this much if the putter is swung with this amplitude, is formed by the player based on the speed and inclination of a certain green. The most commonly considered criterion for distance is a flat green. However, practice greens where you practice putting before playing on a golf course are not flat at all and in most cases have an inclination of 1 to 2 degrees. For that reason, competitors may want to consider their virtual cup position based on their sense of distance relative to the slightly sloping green that was cultivated in practice before the start. However, as the play progresses, you often get used to the steep slope of the green, and in many cases you are more concerned about the amount of bend of the ball than the distance. For example, aim at 10 cm to the right of the cup.

In order to display the position of the virtual cup to the competitor, it is necessary to match the sense of distance of the competitor. The slope angle of the slope, which is the standard for the sense of distance for the competitor, should be selected by the competitor according to the competitor's preference, psychological condition, and competition situation. For example, if the reference angle is flat, the position of the virtual cup becomes far, and if the reference angle is an upward slope, the position of the virtual cup becomes close. In the conventional invention, there is no idea of limiting the number of virtual cups to one virtual cup by assuming the inclination angle desired by the player from the infinite number of positions of the virtual cups, and displaying it.

In view of the above points, the present invention provides a program for predicting a putting line to be cupped in by putting the strength desired by the athlete, and further, the athlete desires the position of the virtual cup that realizes the putting line. The purpose of the program is to provide a program that can be displayed based on the green conditions.

In order to solve the first problem, in calculating and predicting the putting line of the golf ball by the putting line calculation unit, a surplus length setting unit that sets a surplus length at the end of the putting line, and the surplus length Based on the difference between the starting position and the cup position, the launching condition correction unit that corrects the next launching angle and the initial velocity of the golf ball from the previous value, and the putting according to the size of the distance between the starting position of the extra length and the cup position. It includes a calculation end judgment unit that judges whether to repeat the calculation in the line calculation unit or to finish the calculation, which makes it possible to predict the putting line of the strength desired by the athlete and facilitate the cup-in. And

In order to solve the second problem, a virtual plane setting unit that sets a virtual plane having a maximum inclination line in a direction that matches the launching direction of putting, and the inclination angle of the virtual plane to a value desired by the athlete. The inclination angle setting unit to be set and the position where the golf ball stops on the virtual plane when the initial velocity of the golf ball to be launched on the virtual plane is determined by calculation, or conversely the position where the golf ball is desired to stop When the first is determined, a virtual cup calculation unit that estimates the launch speed and the direction at which the golf ball stops at the stop position by calculation, and a virtual cup display unit that displays the stop position as a virtual cup position. The feature is that putting can be done according to the player's sense of distance to facilitate the cup-in.

As described above, according to the present invention, it is possible to provide a method of predicting a putting line that matches only the sensitivity of a player from among a myriad of putting lines, and as a result, the probability of a player's cup-in is improved. To demonstrate.

Also, in order to actually realize the expected putting line, the plane that matches the distance feeling of the player is selected and the target point is displayed as the position of the virtual cup, so it becomes easier to match the rolling distance of the ball. This has the effect of further increasing the probability of cup-in.

Configuration diagram of a putting line prediction program showing an embodiment of the present invention Illustration of the putting line Flowchart showing the procedure of the same prediction method Flowchart showing the procedure of another prediction method Illustration of the principle of the setting method of the virtual cup FIG. 5 is a diagram schematically illustrating FIG. 5 in a side view. The figure which shows the display screen of the putting line display device Figure showing the display screen of the real green and putting line display

First, an embodiment of the present invention for solving the above-mentioned first problem will be described with reference to FIGS. FIG. 1 is a diagram showing the configuration of a putting line prediction program here, FIG. 2 is a putting line on a putting green in a virtual space in an electronic device such as a personal computer or a smart phone, and FIG. It is a flow chart which shows the procedure of the prediction method concerning a form. The inclination angle setting unit 60, the virtual cup calculation unit 61, the virtual cup display unit 63, and the virtual plane setting unit 66 in FIG. 1 are used when describing an embodiment of the present invention for solving the second problem. ..

In FIG. 2, the green 10 is a flat surface for easy understanding. The arrow Km indicates the maximum inclination line of the green 10 and is inclined in the direction of the arrow. A side view 10s of the green 10 shows a sectional view taken along a straight line parallel to the maximum inclination line, and the inclination angle of the green 10 is θ. The golf ball 3 is located at the point O on the green 10. The distance from the cup 2 is Lc. The center of the cup 2 is called a point C, and the straight line extending from the point O to the point C is the coordinate axis and the Y axis is taken. The X axis is taken in the direction perpendicular to the Y axis. Y'is a line parallel to the Y-axis and indicates that the angle with the maximum inclined line is β.

The target putting line is the putting line indicated by the broken line 30b in FIG. The putting line 30b is composed of a portion from point O to point C and a portion 30d from point C to point D. A portion 30d from the point C to the point D located at the end of the putting line 30b indicates a locus of overrun of the golf ball when the cup 2 is assumed to be closed, and has an extra length. I will call it. The extra length 30d is arranged so that the starting point of the extra length located on the starting point side of the putting line coincides with the point C at the center of the cup. However, in a normal state in which the cup 2 is not closed, the ball 3 cups in, so that the extra length 30d is not observed.

The length Lv of the extra length 30d can be set to an arbitrary value by, for example, the designation of a competitor or a third party who guides the competitor to adjust the shape of the putting line. For example, when it is desired to aim the putting line strongly linearly, the extra length Lv is set to a large positive value, and when the putting line which draws a weak arc is desired, the extra length Lv is set. Set to a value close to zero.

A method of realizing the putting line 30b that has the above-described extra length 30d and is cup-in will be described with reference to FIGS. First, the green condition setting unit 21 shown in FIG. 1 acquires green conditions as shown in the flowchart of FIG. 3 (S100). These green conditions include the slope angle θ of the slope, the direction β of the maximum slope line of the slope, the distance Lc to the cup, and the slope information of the green 10 described above, as well as the green of a stimpmeter not shown. It is an index showing speed.

The stimp meter measures a distance until the ball rolls at a speed of about 1.83 m/s and stops. In normal greens played by amateurs, it is often set at around 8.0 to 9.5 feet. The kinetic energy of the golf ball rolling at the speed of 1.83 m/s described above is approximately 0.108 J from the mass and moment of inertia of the golf ball. The green condition setting unit 21 calculates the rolling resistance R of the green by dividing by the stopping distance. For example, when the stimp meter is 8.5 feet and converted to meters of 2.59 m, the rolling resistance R is calculated as 0.042 N from 0.108÷2.59.

Next, the surplus length setting unit 52 shown in FIG. 1 acquires the value of the surplus length Lv, introduces the surplus length ratio δ shown in the equation (1) as an index for considering the ratio of the surplus length to the entire putting line, and A value is calculated (S101).

In performing the putting here, since it is the first calculation, i indicating the number of times of the convergence calculation is set to 1 (S102).

The initial part 501, which is a part of the launch condition setting part 50 of FIG. 1, sets an initial velocity V _{1 of the} ball and a launch angle α ₁ (S103). The initial velocity V ₁ and the launch angle α ₁ of the ball may be any values in principle, but it is preferable that the value is closer to the finally obtained value because the number of calculations is smaller, and Lv, Lc, The initial velocity V ₁ and the launch angle α ₁ that are used first are obtained by obtaining the values close to the initial velocity and the launch angle that are finally obtained by multiple regression equations or tables using θ and β as explanatory variables. When used for efficiency is improved. It should be noted that the subscript described as a number or i in the initial velocity V _{1 of the} ball and the launch angle α ₁ represents the number of times of repeated calculation.

Here, since the green 10 is tilted to the left, the first first putt sets a certain initial velocity V ₁ on the ball by aiming at the right side of the cup by an angle α ₁ with respect to the line segment OC.

The putting line calculation unit 51 shown in FIG. 1 obtains the solution of the motion equation by successive calculation at every step of ΔT from the time t=0 under the given green condition and launch condition, and obtains the trajectory of the entire putting line. It seeks (S104). In this way, the putting line 30a indicated by the broken line is first calculated. Points Q2, Q3, ~Qj ~, Qn on the putting line 30a represent the position of the ball obtained at each time interval.

図１に示す余長設定部５２は、上記の点を最終端Ｑｎからパッティングライン３０ａ上を点Ｏ側に精細に走査してゆくと、γ＝δとなる点が出現する。この点を点Ｐと呼ぶ（Ｓ１０５）。最終端Ｑｎと点Ｐを結ぶ部分が余長であり、点Ｐは余長の起点となっている。The putting 30a calculated first does not naturally cup in like 30b. Therefore, the surplus length setting unit 52 considers an arbitrary point on the putting line 30a at a distance Tv from the final end Qn and a distance Tc from the point O, and introduces the ratio γ shown in Expression (2).

When the extra length setting unit 52 shown in FIG. 1 finely scans the above point from the final end Qn on the putting line 30a to the point O side, a point where γ=δ appears. This point is called point P (S105). The portion connecting the final end Qn and the point P is the extra length, and the point P is the starting point of the extra length.

Here, if the length of the line segment CP is smaller than the preset allowable value, the calculation end determination unit 53 considers that the positions of the point C and the point P are the same, and a predetermined distance is set at the end like the putting line 30b. It is assumed that the trajectory for cup-in is obtained while having the surplus length of 30d, and the calculation ends here (S106).

If the line segment CP is equal to or larger than the allowable value, the calculation end determination unit 53 determines to repeat the convergence calculation again and adds 1 to i indicating the number of times of the convergence calculation (S107).

If the line segment CP is equal to or larger than the allowable value, the putting is performed again from the point O toward the cup. In this case, the correction unit 502 of the launch condition setting unit 50 sets the launch direction αi and the velocity Vi used in the next iterative calculation so that the point P approaches the point C as shown in equations (3) and (4), respectively. Fix it.

Here, the subscript i is the number of iterations of this convergence calculation, and currently i=2. Formula (3) shows the next launch angle, and the error ∠POC is subtracted from the previous launch angle α ₁ to direct the putting line toward the cup. The formula (4) shows the initial velocity of the next launch, and the rolling distance of the ball is proportional to the kinetic energy, that is, the square of the velocity. Therefore, the initial velocity of the ball to be launched next is given by the formula (4). The correction is made in proportion to the square root of the distance (S108).

The putting line calculation unit 51 calculates the solution of the equation of motion for each step of ΔT by successive calculation from the time t=0 again with the corrected ball velocity Vi and the launching direction α _i , and calculates the putting line (S104).

Hereinafter, when this repetition is repeated several times, the point P on the putting line 30a substantially coincides with the point C within an allowable range. That is, here, there is a condition that Tc=Lc and γ=δ, so that Tv=Lv is eventually obtained from the equations (1) and (2). That is, the putting line 30b having the desired extra length Lv and cup-in can be obtained by the above procedure.

A second method of realizing the putting line 30b shown in FIG. 2 will be described with reference to the flowchart of FIG. In this embodiment, the green condition setting unit 21 shown in FIG. 1 acquires the green condition as shown in the flowchart of FIG. 4 (S100).

Next, the extra length setting unit 52 acquires the value of the extra length Lv (S109). However, the extra length ratio δ described above is not calculated here.

Since it is the first calculation, i indicating the number of convergence calculations is set to 1 (S102).

The initial part 501, which is a part of the launch condition setting part 50, sets the initial velocity V _{1 of the} ball and the launch angle α ₁ (S103). The trajectory of the entire putting line is obtained (S104).

In this way, the putting line 30a indicated by the dashed line is calculated first, and this putting line does not cup in to meet the requirements. Therefore, the extra length setting unit 52 finely scans a point at a distance Tv from the final end Qn on the putting line 30a toward the point O on the putting line 30a from the final end Qn, and Tv=Lv. Is called and the point is called point P (S110). The line segment connecting the final end Qn and the point P is the extra length portion, and the point P is the starting point of the extra length portion.

Here, if the length of the line segment CP is less than the allowable value, the calculation end determination unit 53 ends the calculation here (S106).

If the line segment CP is equal to or larger than the allowable value, the convergence calculation is repeated once more, and thus 1 is added to i indicating the number of times of the convergence calculation (S107).

If the line segment CP is equal to or larger than the allowable value, the launching angle and the initial velocity are modified by the modifying unit 502 of the launching condition setting unit 50 so that the point P approaches the point C (S108). Again, the putting line calculation unit 51 calculates the putting line by obtaining the solution of the equation of motion at each step of ΔT by sequential calculation from t=0 under the given green condition and launch condition (S104).

After this is repeated several times, the point P on the putting line 30a coincides with the point C within an allowable range, that is, Tc=Lc, and a putting line that has a desired extra length and is cup-in is obtained. In this example, there is an advantage that the point P can be easily obtained.

したがってパティングラインもこのδ´に対応するように点ＯとＱｎを結ぶ線分の長さを分母としＴｖを分子とした比率がδ´と同じになる点を、パッティングライン３０ａ上から求めて、今までと同様に収束計算により所望の余長部を持ったパッティングラインを求めることができる。The third embodiment will be described below. In this case, δ′ is considered as a surplus length ratio to the length of the line segment OD as follows as a surplus length ratio as shown in the equation (5).

Therefore, on the putting line 30a, the point where the ratio of the length of the line segment connecting the points O and Qn to the denominator and the numerator of Tv is the same as δ′ so that the putting line also corresponds to δ′ is obtained from the putting line 30a, As in the past, it is possible to obtain a putting line having a desired extra length portion by the convergence calculation.

As a method of providing an extra length at the end of the putting line and matching the starting point of the extra length located on the starting point side of the putting line with the cup, there may be other modified methods than those described in the three examples. Also for the convergence calculation, another improved method considering the speed and stability of the convergence can be considered, but all are within the scope of the present invention. By providing an extra length portion at the end of the putting line and matching the starting point of the extra length portion with the cup, it is possible to obtain a putting line having the strength desired by the athlete.

An embodiment for solving the second problem will be described with reference to FIGS. 1 and 5 to 6. FIG. 5 is a diagram for explaining the principle of the virtual cup setting method, and FIG. 6 is an explanatory diagram for explaining the force acting on the golf ball in the side view of FIG.

In FIG. 5, the cup 2 is located at the same position on the green 10 shown in FIG. 2, and the putting line 30b is a putting line which has the extra length described in FIG. The X-axis and the Y-axis of the coordinates are the same as in FIG. 2, and the Y-axis extends from the origin O toward the cup 2. As described above, the launch condition for performing the cup-in with the extra length is already obtained by the launch condition setting unit 50 shown in FIG. The finally obtained launch condition for cup-in is such that the launch speed is Ve and the launch direction is αe degrees with respect to the cup.

Here, the virtual plane setting unit 66 shown in FIG. 1 sets a virtual plane 69 indicated by a broken line on the green 10 as shown in FIG. The virtual plane 69 is a flat plane, and has the same point as the origin O of the green 10 as the origin, and the golf ball 3 is stationary at this point.

The arrow Kk indicates the maximum inclination line of the virtual plane 69, and the virtual plane setting unit 66 arranges the virtual plane 69 such that the launch direction of the ball 3 and the direction of the maximum inclination line are parallel to each other. The coordinate axes of the virtual plane 69 are the Yk axis and the Xk axis, and the Yk axis is arranged parallel to the maximum inclination line Kk in the direction in which the ball is launched and inclined by αe degrees clockwise with respect to the Y axis.

The tilt angle setting unit 60 tilts the virtual plane 69 to the tilt angle θk desired by the player so that the player most matches the sense of distance when putting. A sectional view 69s of the virtual plane 69 cut along the arrow Kk or the Yk axis is a plane having an inclination angle θk with respect to the horizontal plane. However, this virtual plane described above is for obtaining the position of the virtual cup which is the target of the player's putting, and is not displayed on the screen of the electronic device.

仮想カップ演算部６１は、ボールが停止するまでの距離Ｌを（６）式によって求める。The virtual cup calculation unit 61 rolls the ball 3 from the point O on the virtual plane 69 at the initial velocity Ve and the direction αe. FIG. 6 is a side view showing the relationship of forces acting on the ball 3 at that time. Here, the arrow R is the rolling resistance of the lawn, and is information that can be obtained from the green condition setting unit 21 on the virtual plane 69 as the same as the green 10. Assuming that the mass of the ball is m and the gravitational acceleration is g, the forces related to the motion of the ball 3 are the rolling resistance R of the lawn and the component force of gravity, mg·sin(θk). The kinetic energy of the ball 3 that starts rolling on the slope at the initial velocity Ve is partially consumed by the rolling resistance R of the lawn, and the rest is converted to potential energy by climbing the slope, and the ball 3 stops. If the golf ball 3 is considered to be a homogeneous material, the stop distance L can be obtained by a known method as shown in equation (6).

The virtual cup calculation unit 61 calculates the distance L until the ball stops by the equation (6).

Next, in the virtual cup display unit 63 shown in FIG. 1, the point at which the distance from the origin O is L on the Yk axis installed in line with the launching direction is set as the virtual cup position, for example, in the virtual cup 62 shown in FIG. To be displayed above the green 10. The display of the virtual cup position is not limited to that shown on the green 10, and the values of the X coordinate and the Y coordinate may be expressed by numerical values.

In this way, when the player puts, the plane 69 having the inclination angle that most matches the distance feeling of the player is hypothesized, and the virtual cup 62 is assumed on the virtual plane, so it is presumed to be cup-in. It is most suitable for understanding how the player should aim the putting line 30b. According to the present embodiment, the player can understand the putting target position with a feeling that is suitable for his/her distance and improve the reading of the putting line, thereby improving the probability of cup-in even on the actual golf course. To do.

The above-mentioned embodiment explained the case where the electronic device estimates the putting line and displays it as the virtual cup position in order to inform the player of the launch speed and direction. On the contrary, in consideration of the putting line and the strength and direction of the launch that the athlete thinks can be executed, the electronic device simulates putting under that condition and verifies whether the putting thought by the athlete is correct. You may want to. Even in this case, the present invention can be dealt with as follows.

An embodiment for simulating a putting line considered by a competitor will be described with reference to FIGS. 1 and 5 to 6 as before. The tilt angle setting unit 60 sets the tilt angle θk that most matches the sense of distance when putting on the virtual plane 69 when the player puts. Then, the virtual plane setting unit 66 sets the virtual plane 69 so that the line connecting the currently set position of the virtual cup 62 and the origin O coincides with the direction of the maximum inclination line and the inclination angle becomes θk. ..

Competitors observe the cup position and the ups and downs of the green 10 to determine what the putting line will look like, determine the strength and direction to launch, and determine the position where the ball will stop when putting on a virtual plane under those conditions. The virtual cup position is set, and the position of the virtual cup 62 is set by moving the virtual cup display unit 63 with a mouse (not shown) or input of a numerical value on the green 10 shown in FIG. The display of the position of the virtual cup 62 is not limited to the one shown in the figure, and the values of the X coordinate and the Y coordinate may be input as numerical values. The virtual plane setting unit 66 changes the orientation of the virtual plane 69 so that the maximum inclined line is directed to the virtual cup 62 with respect to the newly set position of the virtual cup 62 each time the position of the virtual cup 62 moves. Fix it.

すなわち仮想カップ演算部６１は、（７）式を演算しボールに所定の初速度を演算する。この初速度Ｖと打ち出し方向を打ち出し条件設定部５０はパッティングライン演算部５１に伝えることにより、パッティングライン演算部５１は、パッティングライン３０ａを計算により推定することができる。The virtual cup calculation unit 61 shown in FIG. 1 calculates the distance L from the origin O to the virtual cup 62 by the Pythagorean theorem from the values of the X and Y coordinates of the virtual cup 62 described above. When the golf ball is putted, the initial velocity of the ball required for the golf ball to roll on the slope having the inclination angle θk by the distance L is obtained by modifying the expression (6) and obtaining the expression (7).

That is, the virtual cup calculator 61 calculates the formula (7) to calculate a predetermined initial velocity for the ball. The launching condition setting unit 50 transmits the initial velocity V and the launching direction to the putting line computing unit 51, so that the putting line computing unit 51 can estimate the putting line 30a by calculation.

As described above, by setting the virtual cup at a predetermined distance on the virtual plane of the reference angle set by the player, it is possible to set a predetermined speed and direction for the ball that match the player's sense of distance. it can. This makes it possible to predict what the putting line will look like by the program provided in the electronic device, and to inform the athlete how correct the reading of the putting line is. This will improve the putting technique of athletes.

FIG. 7 shows a first embodiment using the present invention, and is a view showing a display screen of an electronic device in a putting line display device. This is because the athlete can have a virtual putting experience on various green slopes by using the electronic device on the screen shown at home, so even if there is little experience on the actual green, the athlete's putting line It improves your reading skills.

In the figure, on the operation panel 25 for setting the conditions for green, the angle of the slope, the direction of the slope, the cup position, and the value of the stimpmeter indicating the speed of the green are displayed in the display window. For those values, the numerical values displayed in the display windows can be increased or decreased by pressing the triangular buttons 22 and 23 on both sides of each display window.

When the operation button 24 is pressed, a random number is selected for each of the three angles of the slope, the direction of the slope, and the cup position by a random function of the program, and those numbers are displayed on the display windows corresponding to the respective operation panels 25. Is displayed. This allows competitors to easily select different combinations of green conditions.

The green condition displayed on the operation panel 25 is set to the greens 10a and 10b by the green condition setting unit 21, and the green that the athlete wants to practice is set.

Each of the greens 10a and 10b is provided with a cup 2, virtual cups 62a and 62b, virtual cup position display portions 64a and 64b, and operation buttons 35a and 35b for putting. Both the greens 10a and 10b have the Y axis set in the direction connecting the first ball position and the cup, and the X axis set at a right angle to the Y axis. In addition, it is displayed numerically as the "direction of the slope" on the operation panel 25. In the case of the present embodiment, the direction of the inclination is indicated by arrow 210 at 74 degrees in the counterclockwise direction so that the athlete can easily see it. Further, the maximum inclination line 211 passing through the cup 2 also indicates the inclination direction. As can be seen from the direction of the arrow 210, this plane is a downward slope, and more specifically, it can be seen from the “angle of slope” of the operation panel 25 that the inclination angle is 1.3 degrees in this case.

In this embodiment, the green 10a is a green that the athlete practices. The "position of the virtual cup" 64a represents the position of the virtual cup by the X coordinate and the Y coordinate. When the triangular buttons 641 and 642 are pressed on both sides of the display window of 64a, the numerical values displayed in the display windows X and Y increase or decrease, and the position of the virtual cup 62a changes in conjunction with the numerical values. In the figure, the virtual cup is located at a point having an X coordinate of 0.52 m and a Y coordinate of 1.85 m.

The strength of putting is determined by my reference angle 65 and the position 64a of the virtual cup. Although not shown in FIG. 7, the greens 10a and 10b have the virtual plane described in FIG. 5 with the inclination angle of 2.0 degrees set to my reference angle 31, and the maximum inclination line of the virtual plane is , From each green virtual cup towards the origin.

The competitor anticipates the putting line to cup in cup 2. The virtual cup 62a is disposed on the right side because it is a line that bends to the left, which is a so-called hook line because it is inclined to the left. Since the green 10a is inclined downward, the virtual cup 62a is disposed at a position before the actual cup position 2. The initial velocity V of the ball is calculated by the equation (7).

The button 35a is a button to be pressed when putting on the green 10a. When the button 35a is pressed down, the ball 3 is given an initial velocity V so as to just fit into the virtual cup 62a on the virtual plane set to the reference angle 65, and starts rolling, and the putting line 30a is calculated, and the display screen is displayed. Is displayed.

When the athlete is unable to cup in, the athlete again pushes triangular buttons 641 and 642 on both sides of the display window of 64a to adjust the position of the virtual cup 62a, and pushes the button 35a to perform putting. be able to. Athletes can practice putting practice multiple times until they get tired, so they can practice reading the putting line.

The green 10b is prepared to show the player the correct putting line, that is, the putting line that always has a cup length that the player wants to put in.

The green 10b has a surplus length display section 54 provided with a display window and an operation button capable of designating a surplus length 30d. By pressing a triangular button, the numerical value displayed in the display window increases or decreases. As a result, it is possible to specify the extra length, which enables the putting of the strength desired by the athlete.

When the button 35b is pressed, the putting line calculation unit 51 calculates a putting line that is inserted into the cup 2 at the end of the putting line 30b with the momentum that exceeds the length set in the extra length display unit 54, and the remaining line is displayed on the screen. A putting cup 30b having a length of 30d and a virtual cup 62b calculated by the equation (6) based on the inclination angle designated by the reference angle 65 of me are displayed, and a position 64b of the virtual cup is displayed. Numerical values of X and Y coordinates are displayed.

According to the putting line display device of the present embodiment, the player on the left side green 10b performs putting on the green that changes in various ways, and on the right side green 10b, there is an extra length and a cup. Displaying the ideal putting line to be entered to the athlete Since the athlete can experience many puttings by repeating practice while staying at home on a variety of slopes, without going to the golf course However, it has the advantage that the technology to read the green line is significantly improved.

FIG. 8 is a view for explaining an embodiment of the present invention on a golf course and is a diagram showing an actual green and putting line display device. The golf ball 31 of the player is on the actual green 11, and the player thinks how to hit the cup 21.

The electronic device 70 is of a portable type, and is provided with a database in which electronic device 70 is input with position information of each hole of a golf course, green shape information, rolling resistance information of turf, and undulation information (not shown). ing. The green 10b, the cup 2, and the player's ball 3 are displayed on the display screen 71 according to the information from the above-mentioned database or the position information measuring system using artificial satellites and the input from the player.

The display screen 71 has a display window 54 for designating the length of the extra length and an extra length display section 54 provided with operation buttons. By pushing a triangular button, the numerical value displayed in the display window is increased or decreased. The extra length is specified to put the strength that the competitor wants.

Although not shown here, when the player presses the operation button for starting the prediction of the putting line, the putting line calculation unit 51 of the program installed in the electronic device 70 cups in with the extra length 30d. The putting line 30b is estimated and displayed on the display screen 71. Then, the virtual cup calculation unit 61 in the program, which is based on the inclination angle of the virtual plane designated in advance, calculates the distance L until the stop according to the equation (6), thereby obtaining the virtual cup position and displaying it on the display screen 71. The X and Y coordinates are displayed on the virtual cup 62b and the position 64b of the virtual cup.

The athlete imagines the virtual cup 62b on the display screen 71 on the actual green 11 and puts at that point to put in, or if not put in, putting that stops near the cup can be done, It is possible to actually experience the ideal putting and contribute to the improvement of the putting technique of the athlete.

2 cups 3 golf ball 10 green 30 putting line 30d extra length 51 putting line calculation unit 52 extra length setting unit 61 virtual cup calculation unit 62 virtual cup

Claims (3)

Assuming a green on a golf course and a golf ball on the green, a green condition setting section for setting the inclination state of the green, rolling resistance of the golf ball, and the distance from the golf ball to the cup position , and hitting the golf ball . A launching condition setting unit that sets the launching direction and the initial velocity, and a putting line calculation unit that launches a golf ball under the launching conditions set by the launching condition setting unit and calculates a putting line that is a trajectory of the golf ball rolling. A prediction program of a putting line executed by a computer having
An extra length setting unit and a calculation end determination unit are provided,
(1) The surplus length setting unit sets a surplus length at the end of the putting line calculated by the putting line calculation unit,
(2) The launching condition setting unit sets a new launching direction and a new initial velocity from the difference between the starting point of the extra length and the cup position,
The calculation end determination unit determines that the distance between the starting point of the extra length and the cup position is
If it is less than the allowable value, it is judged that the calculation is finished,
If it is not less than the allowable value, the putting line calculation unit calculates a new putting line and returns to (1).
A putting line prediction program, characterized in that a putting line for cupping in with an extra length is obtained by repeating these (1) and (2) . An apparatus comprising the putting line prediction program according to claim 1, and an input unit for designating a length of a surplus length. An apparatus comprising the putting line prediction program according to claim 1, and displaying a predicted putting line on a display screen.

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