JP2018114251A - Prediction program of putting line, and device using program - Google Patents

Abstract

PROBLEM TO BE SOLVED: To improve a putting technique of a player by providing, to a player, a method and a device capable of virtually performing putting with desired strength on various slopes.SOLUTION: An extra length 30d is provided on the terminal of a putting line 30b in order to designate strength of putting, and a launch angle and an initial velocity of a ball are determined by convergence calculation so that a starting position of the extra length agrees with a cup 2, to thereby obtain a desired putting line 30b. Further, a virtual plane designated by a player is set as a base, and a virtual cup position 62b is determined and displayed.SELECTED DRAWING: Figure 8

Description

  The present invention relates to a golf putting, a program for selecting and predicting a player's desired putting line from an infinite number of putting-in putting lines, and a putting aiming for a putting line that is easy to cup in. The present invention relates to an apparatus for displaying a virtual cup position so that a person can execute it.

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

  In order to practice long putt in indoors such as general households, 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. Some of the results are displayed on a television screen (see, for example, Patent Document 2).

JP-A-8-71194 JP-A-8-057093

  One of the difficult things in putting is predicting the putting line. It is not uncommon for athletes who play golf courses only a few times a year to go short on a steep ascending slope so that they do not reach half, or on the descending slope to nearly double the cup. Since there are few putting experiences on various slopes, it is difficult to improve the player's putting technique.

  Therefore, by applying the above-mentioned prior art, it is possible to show the putting line and putting direction and strength of the put-in that is expected to be cup-in under various greens on electronic devices such as personal computers and smartphones, and support the player's putting 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 an infinite number of putting lines where the ball enters the cup. Athletes may want to make a cup-in while drawing the arc according to the slope of the green so that it stops at the last minute, or they may want to make a cup-in with a vigorous linear trajectory regardless of the slope of the green. There are innumerable combinations of the launch direction of the ball to be cupped in and the initial velocity given to the ball.

  If the pad is vigorously put, the trajectory will be linear, so the probability of cup-in will increase, but if the cup is removed, it will greatly exceed, so there is a high risk of 3 or 4 pads. On the other hand, if the player puts weakly so that he can finally reach the cup, the trajectory draws an arc, so the probability of cup-in will be low, but even if it goes off, the ball will stop near the cup, so 3 or 4 pads In most cases, it is possible to cup in with 2 pads.

  What kind of putting line should be adopted depends on the athlete's preference, psychological condition and competition situation. For example, if a competitor wants to make a putting line with the strength to pass over the cup and stop 43 cm over the cup when the hole in the cup is blocked, the putting line that realizes it is predicted. Desirably, the combination of the launch direction of the ball and the initial velocity applied to the ball is specified. In the conventional invention, there is no technique for selecting and predicting the only putting line desired by the player from the countless putting-in putting lines.

  The second problem was that it was difficult to convey to the competitors in an easy-to-understand manner so that even if the putting line into which the electronic device could be predicted could be predicted, the competitor could realize it. For example, if the pad is put in so that the initial velocity of the ball is 1.5 m / s in a clockwise direction of 3 degrees toward the cup, even if it is displayed on the electronic device when the cup is inserted, Athletes have difficulty putting at the indicated speed. On the other hand, there was no way to accurately convey the strength of the putts that the competitors thought to electronic devices.

  As a method for transmitting the strength of putting to the player, it is conceivable to display a virtual cup as a target position for putting on the screen of the electronic device instead of the initial velocity of the ball. For example, when you need to put a strong pad on the up putt, display a virtual cup closer to the actual cup position, and vice versa. To do. If the slice line has a green slant to the right, the virtual cup is displayed on the left side of the actual cup, and if the green is slanted to the left, the virtual cup is displayed on the right side of the actual cup. . The player virtually puts the cup at the displayed position, and puts the player according to the sense of distance that the player has, that is, the player's sense of distance.

  A player's sense of distance that the ball will roll as much as the swing of the putter is formed by the player based on the speed and slope of a single green. The most commonly considered criterion for distance is flat green. However, practice greens that practice putting before playing on a golf course are never flat, and most of them have an inclination of 1 to 2 degrees. That's why the competitor may want to think about the virtual cup position based on a sense of distance based on the slightly sloping green cultivated in practice before the start. However, as play progresses, you get used to the steep slope of the actual green, and in many cases you are only concerned about the amount of bending of the ball rather than the distance. For example, aiming 10cm to the right of the cup.

  When displaying the position of the virtual cup to the athlete, it is necessary to match the distance feeling of the athlete. The slope angle of the slope, which is the basis for the athlete's sense of distance, should be selected by the athlete according to the athlete's preference, psychological condition, and competition situation. For example, if the reference angle is flat, the position of the virtual cup is far away, and if the reference angle is uphill, the position of the virtual cup is close. The conventional invention is limited to one virtual cup by assuming the inclination angle desired by the player from the countless virtual cup positions, and there is no idea of 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 player with the desired strength, and further, the player wants the position of the virtual cup that realizes the putting line. The purpose is to provide a program that can be displayed on the basis of the green conditions.

  In order to solve the first problem, in calculating and predicting a putting line of a golf ball by a putting line calculation unit, a surplus length setting unit that sets a surplus length at a terminal portion of the putting line, and the surplus length The launch condition correcting unit for correcting the next launch angle and initial velocity of the golf ball from the previous value based on the difference between the starting position of the golf ball and the cup position, and the putting according to the distance between the starting position of the extra length and the cup position. A calculation end determination unit for determining whether to repeat the calculation in the line calculation unit or to end the calculation, thereby making it possible to predict the putting line of the strength desired by the competitor and to 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 coincides with the launching direction of putting, and the inclination angle of the virtual plane is set to a value desired by the player. When the inclination angle setting unit to be set and the initial velocity of the golf ball to be launched on the virtual plane are determined, the position at which the golf ball stops on the virtual plane is estimated by calculation, or conversely, the position at which the golf ball is to be stopped When the golf ball is first determined, a virtual cup calculation unit that estimates the launch speed and 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, thereby It is characterized in that it can be put in according to the player's sense of distance and cup-in is facilitated.

  As described above, according to the present invention, it is possible to provide a method for predicting a putting line that matches the sensibility of a player from among a myriad of putting lines. As a result, the player's cup-in probability is improved. Is demonstrated.

  Also, in order to actually realize the expected putting line, a plane that matches the player's sense of distance is selected and the target point is displayed as the position of the virtual cup, so it is easy to match the distance that the ball actually rolls. This has the effect of further increasing the probability of a cup-in.

Configuration diagram of a putting line prediction program showing an embodiment of the present invention Illustration of the putting line Flow chart showing the procedure of the prediction method Flow chart showing the procedure of another prediction method Illustration of the principle of the virtual cup setting method The figure which explained the same figure 5 with the side view typically The figure which shows the display screen of the putting line display apparatus Diagram showing the display screen of the same green and putting line display device

  First, an embodiment of the present invention for solving the first problem described above will be described with reference to FIGS. FIG. 1 is a diagram showing the configuration of a putting line prediction program, FIG. 2 shows a putting line on a putting green in a virtual space in an electronic device such as a personal computer or a smartphone, and FIG. It is a flowchart which shows the procedure of the prediction method which concerns on a form. The tilt 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. An arrow Km indicates the maximum inclination line of the green 10 and is inclined in the direction of the arrow. The side view 10s of the green 10 shows a cross-sectional view 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 positioned 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 a straight line from the point O to the point C is taken as a 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 inclination line is β.

  The target putting line is a putting line indicated by a broken line 30b shown 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 terminal portion of the putting line 30b indicates a trajectory over which the golf ball overruns when it is assumed that the cup 2 is closed. 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 center point C of the cup. However, in a normal state where the cup 2 is not closed, the ball 3 is cupped in, so the extra length 30d is not observed.

  The length Lv of the extra length 30d can be set to an arbitrary value, for example, by the designation of the athlete or a third party who guides the athlete, and the shape of the putting line can be adjusted. For example, when it is desired to aim at the putting line in a straight line, the length Lv of the extra length is set to a larger positive value, and when a putting line that draws a weak arc is desired, the length Lv of the extra length is set. Set to a value close to zero.

  A method of realizing the putting line 30b having the extra length 30d and coupling in will be described with reference to FIGS. First, the green condition setting unit 21 shown in FIG. 1 acquires the green conditions as shown in the flowchart of FIG. 3 (S100). The green condition is that the slope angle θ of the slope, the direction β of the slope maximum slope, the distance Lc to the cup, and the green information referred to as a stump meter (not shown) other than the slope information of the green 10 described above. It is an index indicating speed.

  The stump meter measures the distance until the ball rolls and stops at a speed of about 1.83 m / s. In normal greens where amateurs play, it is often set to about 8.0-9.5 feet. The kinetic energy of the golf ball rolling at a speed of 1.83 m / s described above is found to be about 0.108 J from the mass and moment of inertia of the golf ball. The green condition setting unit 21 obtains the green rolling resistance R by dividing by the distance to stop. For example, when the stump meter is 8.5 feet and is converted to 2.59 m, the rolling resistance R is determined to be 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 represented by the equation (1) as an index for considering the ratio of the surplus length to the entire putting line, and A value is obtained (S101).

  Here, since putting is performed for the first time, 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 in FIG. 1 sets the initial velocity V ₁ and the launch angle α ₁ of the ball (S103). The ball initial velocity V ₁ and the launch angle α ₁ may be any value in principle, but the one closer to the finally obtained value is preferable because the number of calculations is reduced, and Lv, Lc, The initial velocity V ₁ and the launch angle α ₁ to be used first are obtained by obtaining values close to the initial velocity and launch angle to be finally obtained by a multiple regression equation or a table having θ, β, etc. as explanatory variables. Use it for better efficiency. Note that a number or a subscript written as i in the initial velocity V ₁ and the launch angle α ₁ represents the number of repeated calculations.

Here, since the green 10 is inclined to the left, the first first pad aim right angles alpha ₁ only cup for line OC, sets the initial speed V ₁ of the values in the ball.

  The putting line calculation unit 51 shown in FIG. 1 obtains a solution of the equation of motion by sequential calculation at every increment time from Δt = 0 to ΔT under the given green condition and launch condition, and obtains the trajectory of the entire putting line. The request is made (S104). In this way, a putting line 30a indicated by a broken line is first calculated. Points Q2, Q3,..., Qj, and Qn on the putting line 30a represent the positions of the balls obtained at every step time.

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, as a matter of course, cup in like 30b. Therefore, the surplus length setting unit 52 introduces the ratio γ shown in the equation (2) in consideration of an arbitrary point located at a distance Tv from the final end Qn and a distance Tc from the point O on the putting line 30a.

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 toward the point O, a point where γ = δ appears. This point is referred to as point P (S105). The portion connecting the final end Qn and the point P is the surplus length, and the point P is the starting point of the surplus length.

  Here, if the length of the line segment CP is smaller than the preset allowable value, the calculation end determination unit 53 regards the positions of the point C and the point P as the same and sets a predetermined value at the end like the putting line 30b. Assume that the locus of cup-in is obtained while having the extra length 30d, and the calculation ends here (S106).

  The calculation end determination unit 53 determines that the convergence calculation is repeated once more if the line segment CP is equal to or larger than the allowable value, and adds 1 to i indicating the number of convergence calculations (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 indicates the launch direction αi and the speed Vi used in the next iterative calculation so that the point P approaches the point C, as shown in equations (3) and (4), respectively. Correct it.

Here, the subscript i is the number of times this convergence calculation is repeated, and i = 2 at present. (3) are those which show the next launch angle, so suited putting line in the direction of the cup by subtracting an error ∠POC from the previous launch angle alpha _1. Equation (4) shows the initial velocity of the next launch, and since the distance that the ball rolls is proportional to the kinetic energy, that is, the square of the velocity, the initial velocity of the ball to be launched next is given by Equation (4). Thus, the correction is made in proportion to the square root of the distance (S108).

The putting line calculation unit 51 calculates the putting line by obtaining the solution of the equation of motion at every increment of ΔT by successive calculation from the time t = 0 again with the corrected ball speed Vi and the launch direction α _i (S104).

  Thereafter, when this process 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, since Tc = Lc and there is a condition that γ = δ, Tv = Lv is finally obtained from the expressions (1) and (2). That is, the putting line 30b having a desired extra length Lv and cup-in can be obtained by the above procedure.

  A second method for 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 conditions as shown in the flowchart of FIG. 4 (S100).

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

  Since this 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 and the launch angle α ₁ of the ball (S103). The trajectory of the entire putting line is obtained (S104).

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

  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 greater than the allowable value, the convergence calculation is repeated once more, so 1 is added to i indicating the number of convergence calculations (S107).

  If the line segment CP is not less than the allowable value, the correction unit 502 of the launch condition setting unit 50 corrects the launch angle and the initial speed so that the point P approaches the point C (S108). Again, the putting line calculation unit 51 calculates a putting line by finding a solution of the equation of motion at every increment of ΔT by sequential calculation from t = 0 under the given green condition and launch condition (S104).

  Thereafter, when this process is repeated several times, the point P in the putting line 30a coincides with the point C within an allowable range, that is, Tc = Lc, and a putting line with a desired extra length 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。A third embodiment will be described below. In this case, as shown in the equation (5), δ ′ is considered as the extra length ratio with respect to the length of the line segment OD as follows.

Therefore, the point where the ratio of the line segment connecting the points O and Qn to the denominator and Tv as the numerator is equal to δ ′ so as to correspond to this δ ′ is also obtained from the putting line 30a. A putting line having a desired extra length can be obtained by convergence calculation as before.

  A method of providing a surplus length at the end of the putting line and aligning the starting point of the surplus length located on the putting line start point side with the cup may have other modified methods besides those described in the three examples. The convergence calculation can be performed by another improved method in consideration of the speed of convergence and stability, all of which are within the scope of the present invention. By providing a surplus portion at the end portion of the putting line and making the starting point of the surplus portion coincide with the cup, a putting line having the strength desired by the player can be obtained.

  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 a diagram for explaining the force acting on the golf ball in a side view of 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 that has the extra length described in FIG. The X-axis and Y-axis of the coordinates are also the same as in FIG. 2, and the Y-axis is directed from the origin O toward the cup 2. As described above, the launch condition for cup-in with a surplus length has already been obtained by the launch condition setting unit 50 shown in FIG. The finally obtained launch condition for cup-in is Ve for the launch speed and αe degrees for the launch direction 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 surface, and the same point as the origin O of the green 10 is 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 so 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 parallel to the maximum inclination line Kk and coincides with the ball launch direction and is arranged in a direction inclined by αe degrees clockwise with respect to the Y axis.

  The inclination angle setting unit 60 inclines the virtual plane 69 to the inclination angle θk desired by the athlete so that the athlete most closely matches the distance feeling of the athlete when putting. The cross-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, the virtual plane described above is for obtaining the position of the virtual cup that 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 on the virtual plane 69 from the point O at the initial velocity Ve and the direction αe. FIG. 6 is a side view showing the force relationship acting on the ball 3 at that time. Here, the arrow R is the lawn rolling resistance, and is information that can be obtained from the green condition setting unit 21 in the virtual plane 69 as well as the green 10. If the mass of the ball is m and the gravitational acceleration is g, the force related to the movement of the ball 3 is two of the rolling resistance R of the lawn and mg · sin (θk) which is a component of gravity. Part of the kinetic energy of the ball 3 that has begun to roll on the slope at the initial speed Ve is consumed by the rolling resistance R of the lawn, and the rest is converted into 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 as shown in the equation (6) by a known method.

The virtual cup calculation unit 61 obtains the distance L until the ball stops according to the equation (6).

  Next, the virtual cup display unit 63 shown in FIG. 1 has, for example, the virtual cup position of the virtual cup 62 shown in FIG. 5 as a virtual cup position at a point where the distance from the origin O is L on the Yk axis installed in alignment with the launch direction. Is displayed on the green 10. The display of the virtual cup position is not limited to the illustration on the green 10, and the values of the X coordinate and the Y coordinate may be expressed numerically.

  As described above, when the player puts the virtual plane 62 having an inclination angle that best matches the distance feeling of the competitor, and the virtual cup 62 is assumed on the virtual plane, the cup is estimated to be in. It is most suitable for understanding how the competitor should aim for the putting line 30b. According to the present embodiment, the player can understand the target position of putting with a sense that fits his sense of distance, and the reading of the putting line improves, so the probability of a cup-in at an actual golf course is improved. To do.

  In the above-described embodiment, the case where the electronic device estimates the putting line and displays the virtual cup position in order to inform the player of the launch speed and direction has been described. Contrary to this case, considering the putting line and the strength and direction of the launch that the player thinks it can execute, the electronic device simulates the putting under that condition and verifies whether the putting considered by the competitor is correct. You may want to In this case as well, the present invention can be handled as follows.

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

  Competitors observe the cup position and the undulations of the green 10 to determine what the putting line will be, determine the strength and direction to launch, and determine where the ball will stop when putting on the 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 by a mouse or a numerical value not shown on the green 10 shown in FIG. The display of the position of the virtual cup 62 is not limited to the illustration, and the values of the X coordinate and the Y coordinate may be input numerically. Note that the virtual plane setting unit 66 changes the orientation of the virtual plane 69 so that the maximum inclination line is directed to the virtual cup 62 with respect to the newly set virtual cup 62 each time the position of the virtual cup 62 moves. Correct 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 X and Y coordinate values of the virtual cup 62 described above. The initial velocity of the ball necessary for the golf ball to roll the slope with the inclination angle θk by the distance L when putting is obtained by transforming Equation (6) to obtain Equation (7).

That is, the virtual cup calculation unit 61 calculates a predetermined initial velocity for the ball by calculating equation (7). The launch condition setting unit 50 transmits the initial velocity V and the launch direction to the putting line calculation unit 51, so that the putting line calculation 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 the ball at a predetermined speed and direction that matches the player's sense of distance. it can. This makes it possible to predict what the putting line will look like according to the program provided with the electronic equipment, and to inform the competitor how accurate the reading of the competitor's putting line is. This will improve the player's putting skills.

  FIG. 7 shows a first embodiment using a display screen of an electronic device in a putting line display device. This is because the competitors can virtually put on various green slopes by using the electronic device shown on the screen at home, so even if there is little experience in the actual green, the competitor's putting line Improve reading skills.

  In the figure, on the operation panel 25 for setting the green condition, the values of the steep meter indicating the angle of the slope, the direction of the slope, the cup position and the speed of the green are displayed on the display window. These values can be increased or decreased by pressing the triangular buttons 22, 23, etc. on both sides of each display window.

  When the operation button 24 is pressed, random values are selected for each of the slope angle, the slope direction, and the cup position by the random number function of the program, and these values are displayed on the display windows corresponding to the respective operation panels 25. Is displayed. This allows the competitor to easily select various combinations of green conditions.

  The green conditions displayed on the operation panel 25 are set to the greens 10a and 10b by the green condition setting unit 21 and the competitors want to practice.

  Each of the greens 10a and 10b includes a cup 2, virtual cups 62a and 62b, virtual cup position display parts 64a and 64b, and operation buttons 35a and 35b for putting. In each of the greens 10a and 10b, the Y axis is set in the direction connecting the first ball position and the cup, and the X axis is set at right angles thereto. Also, a numerical value is displayed on the operation panel 25 as “the direction of the slope”. In the case of the present embodiment, it is 74 degrees counterclockwise, and the direction of the inclination is indicated by an arrow 210 for easy understanding by the player. Further, the direction of inclination is also displayed on the maximum inclination line 211 passing through the cup 2. As can be seen from the direction of the arrow 210, this plane is a downward slope, and more specifically, from the “angle of the slope” of the operation panel 25, it can be seen that the inclination angle is 1.3 degrees in this example.

  In this embodiment, the green 10a is a green practiced by the athlete. The “virtual cup position” 64a represents the position of the virtual cup in the X and Y coordinates. When the triangular buttons 641 and 642 are pressed on both sides of the display window 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 accordance with the numerical values. In the figure, the virtual cup is located at a point with an X coordinate of 0.52 m and a Y coordinate of 1.85 m.

  The strength of the putting is determined by my reference angle 65 and the virtual cup position 64a. Although not shown in FIG. 7, the greens 10a and 10b have the virtual plane described in FIG. 5 having an 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 expects a putting line to cup into Cup 2. The virtual cup 62a is arranged on the right side because it is a so-called hook line that turns to the left because it is inclined to the left, and the virtual cup 62a is arranged in front of the actual cup position 2 because the green 10a is inclined downward. The initial velocity V of the ball is calculated by equation (7).

  The button 35a is a button to be pressed when putting in the green 10a. When the button 35a is pressed, the ball 3 starts rolling with an initial speed V so that it is just inserted into the virtual cup 62a in the virtual plane set at the reference angle 65, the putting line 30a is calculated, and the display screen Is displayed.

  When the player fails to cup in, the player again presses the triangular buttons 641 and 642 on both sides of the display window 64a to adjust the position of the virtual cup 62a, and performs the putting by pressing the button 35a. be able to. Athletes can train to read the putting line because they can do it several times until they get tired of putting practice.

  The green 10b is prepared to show the player a correct putting line, that is, a putting line that always has the extra length desired by the player and is always cupped in.

  The green 10b has a display window 54 for specifying the length of the extra length 30d and an extra length display section 54 having operation buttons. By pressing the triangular button, the numerical value displayed on the display window increases or decreases. It is possible to specify the length of the surplus length, thereby enabling the player to put on the strength he wants.

  When the button 35b is pressed, the putting line calculating unit 51 calculates a putting line that is cupped into the cup 2 with a momentum exceeding the length set in the extra length display unit 54 at the end of the putting line 30b. The virtual cup 62b calculated by the equation (6) is displayed on the basis of the putting line 30b having the length 30d and the tilt-in angle designated by my reference angle 65, and the virtual cup position 64b is displayed at the virtual cup position 64b. The numerical values of the X and Y coordinates are displayed.

  According to the putting line display device of the present embodiment, in the green 10b on the left side, the athlete puts the player in consideration of various changing greens, and in the green 10b on the right side, there is an extra length and the cup. Displaying the ideal putting line to the competitors With the variously changing slopes, the competitors can experience many puttings by repetitively practicing while at home, without having to go to the golf course However, it has the advantage that the technology to read the green line is greatly improved.

  FIG. 8 is a diagram for explaining an embodiment of the present invention at a golf course and shows an actual green and putting line display device. On the actual green 11 is the player's golf ball 31, and the player is thinking how to hit the cup 21.

  The electronic device 70 is of a portable type, and the electronic device 70 includes a database in which position information of each golf course hole, green shape information, turf rolling resistance information, and undulation information, which are not shown, are input. ing. The display screen 71 displays the green 10b, the cup 2, and the player's ball 3 based on information from the database or the position information measurement system using an artificial satellite or input from the player.

  The display screen 71 has a display window for specifying the length of the surplus length and a surplus length display section 54 having operation buttons. By pressing the triangular button, the numerical value displayed on the display window is increased or decreased. Specify the extra length and 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 has the extra length 30d and is cupped in. The putting line 30b is estimated and displayed on the display screen 71. Then, the virtual cup calculation unit 61 in the program based on the inclination angle of the virtual plane specified in advance calculates the distance L until the stop by the equation (6), thereby obtaining the virtual cup position on the display screen 71. The X and Y coordinates are displayed at the virtual cup 62b and the virtual cup position 64b.

  The contestant imagines the virtual cup 62b on the display screen 71 on the actual green 11 and puts the point to the target to put in the cup, or even if it is not cupped, the player can put in the vicinity of the cup, You can actually experience the ideal putting and contribute to the improvement of the competitor's putting technique.

2 Cup 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 (5)

  Assuming a golf course green and a golf ball on the green, a green condition setting unit for setting the green inclination state, the rolling resistance of the golf ball, and the distance from the golf ball to the cup; A launch condition setting unit that sets the launch direction and initial velocity, and a putting line calculation unit that predicts a putting line that is a trajectory of the golf ball by launching the golf ball under the launch condition set by the launch condition setting unit by calculation And a surplus length setting unit for setting a surplus length at the end of the putting line calculated by the patting line calculation unit, and a difference between the starting point of the surplus length and the cup position. Set new launch direction and initial speed A dispensing condition correction unit, and a calculation end determination unit that determines that the calculation ends if the distance between the starting point of the surplus length and the cup position is within an allowable value, and the calculation is repeated if the distance is equal to or greater than the allowable value, (1) The launch condition correction unit sets a new launch direction and initial velocity from the initial position of the golf ball, (2) calculates a new putting line in the putting line calculation unit, and (3) sets the extra length The section sets a surplus length at the end of the new patching line, and (4) the calculation end determination section determines whether the distance between the starting point of the surplus length and the cup position is less than the allowable value (from (1) to ( By repeating the cycle of 4) until the calculation end determination unit determines to end the calculation, a putting line having a surplus length is obtained. Measurement program.   Assuming a golf course green, the green condition setting unit for setting the green inclination state, the rolling resistance of the golf ball, and the distance from the golf ball to the cup, a predetermined launch direction and a predetermined initial speed on the golf ball In a putting line prediction program having a launch condition setting unit for setting a golf ball and a putting line calculation unit for predicting a putting line which is a trajectory of the golf ball by rolling, a maximum inclination line is set in a direction matching the launch direction. A virtual plane setting unit that sets a virtual plane, an inclination angle setting unit that sets an inclination angle of the virtual plane to a value desired by the player, the predetermined launch direction and a predetermined initial speed on the virtual plane A temporary golf ball is launched to calculate and estimate the position where the golf ball stops on a virtual plane. A cup arithmetic unit, and a virtual cup display unit that displays the stop position as a virtual cup position, putting line prediction program, characterized in that it is putting in depth perception with the competitor.   Assuming a golf course green, a green condition setting unit for setting the slope of the green, the rolling resistance of the golf ball, the distance from the golf ball to the cup, and the like, a predetermined launch direction and a predetermined initial In a putting line prediction program having a launch condition setting unit for setting speed and a putting line calculation unit for calculating and predicting a putting line that is a trajectory of a golf ball, the maximum inclination in the direction matching the launch direction A virtual plane setting unit for setting a virtual plane having a line, an inclination angle setting unit for setting the inclination angle of the virtual plane to a value desired by the player, and a position at which the golf ball stops on the virtual plane is a virtual cup position A virtual cup position display unit that displays as a golf ball launch direction from the stop position Given a virtual cup arithmetic unit for calculating estimates the initial speed, putting line prediction program the competitor cup in with depth perception and be putting possessed by, characterized in that the easier.   A virtual plane setting unit that sets a virtual plane having a maximum inclination line in a direction that coincides with the launch direction of the golf ball, an inclination angle setting unit that sets an inclination angle of the virtual plane to a value desired by the player, and the virtual A virtual cup calculation unit that launches a golf ball on the plane with the predetermined launch direction and initial velocity and estimates the position at which the golf ball stops on the virtual plane by calculation, and a display that displays the stop position as a virtual cup position The putting line prediction program according to claim 1, wherein the putting line is provided so as to match a player's feeling.   5. A putting line prediction apparatus comprising the putting line prediction program according to claim 1.

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