KR101136386B1 - Apparatus and method and recording medium for display of 2-D golf ball trajectory - Google Patents

Abstract

The present invention provides an apparatus and method for displaying a two-dimensional golf ball trajectory, wherein the environment variable input unit receives a golf club and receives environment variables including a head speed, a loft angle, and a backspin when the golf ball is impacted. Wow; A trajectory predictor for predicting the trajectory of the golf ball with a physical prediction model including a delay coefficient and a rising coefficient of the golf ball with respect to the environmental variable input from the environmental variable input unit; A comprehensive result display unit which displays the result predicted by the trajectory predictor as a comprehensive result; A graph display unit which displays the result predicted by the trajectory predictor in a two-dimensional or three-dimensional graph; The distance of the golf ball using the golf ball input conditions including the speed by friction with the air of the golf ball and the delay coefficient (C _D ) and the lift coefficient (C _L ) by the rotation of the golf ball. It is possible to accurately predict and display the back.

Golf ball, trajectory, delay coefficient, ascent coefficient, flying distance, club

Description

Apparatus and method and recording medium for display of 2-D golf ball trajectory}

The present invention relates to the display of the golf ball trajectory, in particular the input conditions of the golf ball including the speed due to friction with the air of the golf ball and the delay coefficient (C _D ) and the lift coefficient (C _L ) due to the rotation of the golf ball. The present invention relates to a two-dimensional golf ball trajectory display device, a method and a recording medium suitable for accurately predicting and displaying a flying distance of a golf ball by using the same.

Korean golf stars are spreading Korea on world tours with the Korean flag. The foreign currency earned by golf stars is expected to exceed $ 200 million in 2008. It is a profit that can be estimated by exporting more than KRW 1.8 trillion.

Golf is a sport enjoyed by more than 20 million lovers, with 4 million club members among adults aged 15 and over. The size of the golf industry market in 2006 will reach 3.33 trillion won, and it is expected to grow to 4.33 trillion won in 2010. Employment effects, as well as related industries, are even greater. Since the market cap of golf membership exceeds 27 trillion won (April 2007), the golf industry's share of the domestic leisure industry is quite impressive. (Golf course managers association document)

However, developed countries gradually fostered the golf industry with scientific weapons, and players began to be educated within the scientific system. We have fostered the golf industry with only the spirit of craftsmanship and neglected the players and fellows, which is very different from the attitudes of the developed countries.

In addition, the golf club fitting also introduces and uses the Western-type fitting program, in the present invention, what is the program applied to the Korean golf club fitting machine, why the fitting program is different from each other to find the cause of the confusion by physics approach The solution is to present.

Domestic golf industry and technology is very poor. The propaganda of many foreign club manufacturers is dizzying, but our industry is really quiet. Clubs that sell millions of dollars on TV are mostly products from advanced foreign companies. The reason is that our golf industry is not based on scientific evidence. If we combine science with the craftsmanship that makes our semiconductors, cars, TVs, shipbuilding, and fishing rods the best in the world, the golf industry will have a good chance. In addition, the fittings industry also uses the complementary developments of developed countries for them. Is there a fitting program for us? There is no current golf ball trajectory program in Korea. It is used in some screen golf, but this is a kind of game. The game is a game. It's very different from the real thing. Of course, supplementing more scientific data would improve it considerably.

Looking at the status of domestic technology development, there is no golf ball trajectory program in Korea. In addition, it is necessary to standardize scattered and different golf club fitting programs to suggest which program is suitable for Koreans or Asians.

Looking at the state of foreign technology development, Danish engineer Fredrik Tuxen used the radar principle to track missiles in military use around 2006, and the whole process from the moment of impact of the golf ball to the ground. Invented Trackman, which tracks and displays data in three dimensions on a computer screen. The equipment began to be used on PGA tours in 2007 and was chosen by the USGA and the Royal and Ancient, Golf Club of St. Andrews, which specializes in many golf trainers and custom clubs. Companies and club manufacturers also chose the equipment and began using it in practice.

In addition, two-dimensional programs in developed countries include Wishon, Dupilka, Adams, TrajectoWare, and Optimal Flight. Among these programs are Wishon and Optimal Flight. Unfortunately, the Wishon program shows a lot of errors in the test, although the woods and irons are relatively well suited to the real world. The program price is about $ 150. In addition, OptimalFlight (about $ 100-380) runs on English Windows, making it very inconvenient to use and rarely used in Eastern countries. The rest of Adams, Dupilka, and TrajectoWare are freeware, but currently only TrajectoWare is available for drivers only. As such, there is no program that accurately predicts and displays a golf ball trajectory in two or three dimensions. In addition, the fitting program has a different golf club fitting program for each fitting shop, which is very confusing for golfers.

Developing a two- or three-dimensional golf ball trajectory program that closely resembles the real world can be widely applied to club manufacturing, fitting industry, screen golf, golfer training, and golf equipment development. Each club manufacturing company in developed countries has such a program, but it is a top secret. That's why different clubs are created for different companies. How good a program is is a shortcut to building a good club. Knowing how and under what conditions your golf ball will fly will help you make the industry more promising by creating good clubs, good fittings and good supplies. However, the conventional techniques do not accurately track and display the trajectory of the golf ball, and have a lot of errors in the trajectory by presenting the trajectory result of the golf ball only empirically or sensibly.

Thus, there are no practical two-dimensional or three-dimensional golf ball trajectory programs operating independently from the computer developed by the present invention anywhere in the world. Moreover, a program for estimating the distance from an uphill and downhill on an inclined plane is first presented in the present invention. Although there are programs that operate in some screen golf, etc. in Korea, this is just a game, and there are many differences from the actual results in the golf course.

Therefore, the present invention has been proposed to solve the conventional problems as described above, an object of the present invention is the speed by friction with the air of the golf ball and the delay coefficient (C _D ) and the rising coefficient by the rotation of the golf ball To provide a two-dimensional golf ball trajectory display device and method and a recording medium that can accurately predict and display the distance of the golf ball using the input conditions of the golf ball including (C _L ).

In addition, the conditions given when a golfer impacts the golf ball with the club head are head speed, head loft angle, launch angle, back spin amount, side spin amount, wind, temperature, and altitude. Accordingly, the distance of the golf ball (carry distance) is very different from each other, the present invention is to provide a simulation (simulation) program that can predict the distance of the golf ball according to a given condition.

In addition, when the green position is tens of meters above or below the tee box, the green ball in the up direction should be sent more than the flat surface, and the green distance in the down direction should be sent with a reduced distance of the ball. The present invention provides a two-dimensional golf ball trajectory display device and method and a recording medium for predicting a required distance in advance.

1 is a block diagram of a two-dimensional golf ball trajectory display device according to an embodiment of the present invention.

As shown in the figure, an environmental variable input unit 100 for selecting a golf club and receiving environment variables including a head speed, a loft angle, and a backspin when the golf ball is impacted; The trajectory predictor 200 predicts the trajectory of the golf ball with a physical prediction model including a delay coefficient C _D and an elevation coefficient C _L of the golf ball with respect to the environment variable input from the environment variable input unit 100. ; A comprehensive result display unit 300 for displaying the result predicted by the trajectory predictor 200 as a comprehensive result; A graph display unit 400 for displaying a result predicted by the trajectory predictor 200 in a two-dimensional or three-dimensional graph; And a control unit.

FIG. 2 is a block diagram illustrating an example of an environment variable input unit in FIG. 1.

As shown in the drawing, the environment variable input unit 100 includes: an operation method selection unit 111 for selecting one or more operation methods from “general”, “search”, “manual”; A club head impact value input unit 112 for inputting at least one of a club, a head speed, a loft angle, an attack angle, a side spin, and a repulsive coefficient; A ball lunch value input unit 113 for inputting one or more values among a backspin, a speed of a ball, and a launch angle; A green state input unit 114 for inputting at least one of a green height and a green distance; An environment input unit 115 for inputting one or more values among wind speed, temperature, and altitude; One or more input units 111 to 115; A control execution unit (116) for predicting the trajectory predictor (200) according to the environment variable input by the environment variable input unit (100); Unit converter for converting the meter (m), km (km), yard (yard), speed m / s, km / h, mph (mile) of the distance in the environment variable input unit 100 and outputs the results (117); And a control unit.

3 is a block diagram illustrating another example of an environment variable input unit in FIG. 1.

As shown therein, the environment variable input unit 100 includes: an essential input unit 120 for inputting a club, a head speed, a loft angle, and a backspin into the environment variable input unit 100; A selection input unit 130 for selectively inputting at least one of an attack angle, side spin, repulsive coefficient, wind speed, temperature, altitude, green height, and green distance to the environment variable input unit 100; And a control unit.

4 is a block diagram illustrating an example of a trajectory predictor in FIG. 1.

As shown in the drawing, the trajectory predictor 200 receives an environment variable received from the environment variable input unit 100 and includes a physical property including a delay coefficient C _D and a rise coefficient C _L of the golf ball. A physical prediction model processor 210 for processing the trajectory of the golf ball as a predictive model; A green reach determination unit 220 for determining whether the trajectory of the golf ball processed by the physical prediction model processor 210 reaches the green; A golf ball trajectory result collecting unit 230 for collecting the trajectory result of the golf ball when the green reaching determination unit 220 determines that the golf ball has reached the green; And a result display processing unit 240 for processing the trajectory result collected by the golf ball trajectory result collecting unit 230 and delivering the result to the comprehensive result display unit 300 and the graph display unit 400. .

The locus predicting unit 200 predicts a locus using the following equation,

Where C _D is the dragging coefficient at the golf ball speed of 30 to 100 m / s and is set at 250 rpm intervals at the back spin of the ball from 1,500 to 12,000 rpm, and C _L is the golf ball speed of 30 to 100 m / s. Lifting coefficient at s (lifting coefficient) is characterized in that the back spin of the ball (1,500 ~ 12,000rpm) is set at 250rpm intervals.

The locus predicting unit 200 has a loft angle and a launch angle.

Launch angle = -0.0071 * Loft angle ^ 2 + 0.96 * Loft angle

It is characterized by converting by to predict the trajectory.

The trajectory predicting unit 200 has a ball speed and a head speed.

Ball Speed = (Head Speed * (1 + Repulsion Factor) / (1 + Ball Mass / Club Mass)) * Cos [(Loft Angle * Pi / 180)-(6.5 * Pi / 180)]

It is characterized by converting by to predict the trajectory.

The trajectory predictor 200 calculates the golf ball trajectory data in 0.01 m distance units.

The trajectory predictor 200, when set to "search" in the environment variable input unit 100, the club is selected, and if the green height and green distance are input, the green distance and After iterative calculation until the condition of the green height is satisfied, it is characterized in that it is processed to display the locus graph of club head speed and club head speed on the graph display unit 400.

The trajectory predictor 200 sets a backspin for the club,

Spin (rpm) = 60 * [160 * Head Speed (km / h) * Sin [Loft Angle * Pi / 180]]

It is characterized by processing to display the recommended backspin by calculating the spin by.

The trajectory predictor 200 uses the following equation to optimize the green when the position of the green is up (for example, up to + 40m) or down (for example, up to -40m) from the tee box. Derive the head speed of

은

번째 예측된 헤드 속도,

은

번째 예측된 헤드 속도,

은 궤적 예측 모델 함수,

은 궤적 예측 모델을 미분한 함수이고, 입력된 그린 거리를 만족하는 헤드 속도(

)를 예측하기 위해 입력된 그린 거 리와 예측된 그린 거리 값이 오차범위(예, 1m) 안에 수렴할 때까지 반복(iteration) 계산하는 것을 특징으로 한다.here,

silver

Estimated head speed,

silver

Estimated head speed,

Is the trajectory prediction model function,

Is a derivative function of the trajectory prediction model, and the head velocity satisfying the input green distance (

In order to predict), iterative calculation is performed until the input green distance and the predicted green distance value converge within an error range (for example, 1 m).

The overall result display unit 300, head speed, ball speed, loft angle, attack angle, launch angle, backspin, side spin, green distance. Characterized by displaying one or more of the adjusted distance, GPS distance, increase and decrease distance, green height, wind speed, temperature, altitude, side deviation, maximum height, flight time, landing angle, repulsion coefficient.

FIG. 5 is a block diagram illustrating an example of a graph display unit in FIG. 1.

As shown in the drawing, the graph display unit 400 includes: a side view display unit 410 displaying a trajectory of a golf ball by displaying the result predicted by the trajectory predictor 200 in a side view; A view display unit 420 from above showing the result predicted by the trajectory predictor 200 as a view from the top to display a degree of a slice or a hook when a side spin is given; And a control unit.

The graph display unit 400 displays a golf ball trajectory program screen and different trajectory trajectories in color, and the graph display unit sets the impact position as (0,0) and sets the reference of the ordinate as the height of the ball and the horizontal axis coordinates. The reference line is displayed as a distance of the ball, and a line of a specific color (eg, green) is added to the vertical side = 0 position to display a line of green.

The graph display unit 400, the side view function represented by the height of the ball in the vertical axis, the distance of the ball in the horizontal axis and the side deviation of the ball in the vertical axis, the coordinate view using the view function from the horizontal axis expressed in the distance of the ball It is characterized by performing a display on the display function which can be confirmed.

The graph display unit 400 is characterized in that by drawing a hole flag shape on the green of the final reaching position.

The graph display unit 400 draws and displays a straight line segment of a specific color (for example, green) from the impact position to the green distance and the green height in a two-dimensional golf ball trajectory graph.

The graph display unit 400, when the green height is higher or lower than the impact to display a picture with a green flag on the inclined place, and if the wind speed is negative or positive to display a picture of the wind blowing in the reverse or forward direction It features.

The graph display unit 400 is characterized in that the processing to store or print a plurality of two-dimensional golf ball trajectory graph results as a picture image.

A recording medium storing an installation program or an execution program for executing a golf ball trajectory prediction on a computer using the two-dimensional golf ball display device.

The recording medium is applied to at least one of screen golf, PDA, golf course GPS, mobile phone, golf game, golf practice terminal, golf club fittings.

6 is a flowchart illustrating a 2D golf ball trajectory display method according to an embodiment of the present invention.

As shown therein, a first step (ST1) for selecting a golf club and receiving environment variables including a head speed, a loft angle, and a backspin when the golf ball is impacted; A second step (ST2) of predicting the trajectory of the golf ball with a physical prediction model including a delay coefficient (C _D ) and a rising coefficient (C _L ) of the golf ball with respect to the environment variable input in the first step; A third step (ST3) of displaying the result predicted in the second step as a comprehensive result and displaying the result in a two-dimensional or three-dimensional graph; It characterized in that to perform including.

FIG. 7 is a flowchart illustrating an example of golf ball trajectory prediction in FIG. 6.

As shown therein, the second step may include: an eleventh step (ST11, ST12) of performing a physical prediction model for predicting the trajectory of the golf ball when the environment variable is input and the environment variable is input; A twelfth step (ST13) of determining whether the trajectory of the golf ball by the physical prediction model reaches the green height (= 0) after the eleventh step; If the trajectory of the golf ball reaches the green height in the twelfth step, a thirteenth step (ST14, ST15) of processing the golf ball trajectory result and displaying it on a graph; It characterized in that to perform including.

8 is a flowchart illustrating another example of a golf ball trajectory prediction in FIG. 6.

As shown therein, the second step comprises: a twenty-first step (ST21, ST22) for setting the head speed when an environment variable is inputted and set to "search" operation; A twenty-second step (ST23) of performing a physical prediction model for predicting the trajectory of the golf ball after the twenty-first step; A twenty-third step (ST24) of determining whether the trajectory of the golf ball by the physical prediction model reaches the green distance and the green height after the twenty-second step; A twenty-fourth step (ST25) if the trajectory of the golf ball does not reach the green distance and the green height in the twenty-fourth step, the head speed is calculated by the Newton search method and then returned to the twenty-first step; If the trajectory of the golf ball reaches the green distance and the green height in the twenty-fourth step, a twenty-fifth step (ST26, ST27) of collecting the golf ball trajectory results and processing them to be displayed on a graph; It characterized in that to perform including.

The apparatus and method for displaying a 2D golf ball trajectory and a recording medium according to the present invention include a golf ball including a speed due to friction with the air of the golf ball and a delay coefficient C _D and a rising coefficient C _L due to the rotation of the golf ball. By using the input conditions of the ball, it is possible to accurately predict and display the flying distance of the golf ball.

When explaining the effects of the present invention in more detail as follows.

-Distance prediction based on input variables

Golf ball trajectory simulation program allows golfers to know the distance of the ball in advance by giving virtual head speed, loft angle, backspin and side spin, attack angle, altitude, temperature and wind speed without actually impacting the golf ball. Can predict in advance how the distance, etc. is changed by any variable, so it can improve self.

-Result analysis after impacting the ball

When the golfer impacts the ball with the actual golf club, the launch monitor extracts the initial condition of the club and inputs the result into the program to analyze the strengths and weaknesses of the golfer and advise the result to improve the golfer's ability.

-Prediction of flying distance to sloping greens (applicable to actual golf courses)

When the green is positioned up or down tens of meters from the tee box, the green above should send more balls than flat, and the green below should reduce the flying distance of the ball. Can be.

-Applied to screen golf

The club head speed, launch angle, and actual distance from the backspin can be expressed. (Screen golf is a kind of game that is expressed by increasing the distance in some cases to pursue fun.) The present invention is a scientific virtual reality distance using a radar to simulate the actual situation until the ball flies in the air and falls to the ground. Fits very well with

-You can put the concept of attack angle.

This concept was introduced two or three years ago, and the attack distance increases with a +5 degree attack. Theories thus far will have to be modified or supplemented. Golf club companies began to worry. Experience-driven science will now be a step forward with the advent of the scientific golf radar according to the present invention.

 -It is possible to create a situation where the green is located 20-40 meters up and down the tee box.

In current screen golf, the distance is calculated based on the assumption that the tee box is horizontal to the green. However, when using the program according to the present invention, the golfer predicts in advance how far the ball should be sent when the position of the green is 20-40 meters up and down from the tee box, and the result is applicable to the actual. .

-Indirect experience is possible by setting environment (wind, temperature, altitude)

In the present invention, the speed of the head wind and the tail wind (virtual wind) can be virtually recognized, and the effects thereof can be recognized. Also, the effect of temperature on the flying distance is set by setting the temperature from minus 5 deg. C to 30 deg. You can experience beforehand. In addition, when the golfing position is 2,000m above sea level, the golfing experience in the highlands can be made in advance by performing indirect experiences at various heights. Current humidity is based on 50%.

-Know the landing angle of the ball. (The rolling distance varies depending on the landing angle of the ball.)

How many times will the ball roll when it hits the ground? Of course, the smaller the landing angle, the more the ball will roll, but that's not the case. That is, even if the carry distance of the ball is the same, if the landing angle of the ball is smaller than 42 degrees, the distance the ball rolls is increased as compared with when the ball is larger than 42 degrees. The experiment was carried out in December 2006, when the driver was mounted on the robot at Golf Digest and collected 80 times of experiment data using the same ball with a launch angle of 11.7 degrees and a head speed of 105 miles. If the landing distance of the ball is 253 yards and the landing angle of the ball is greater than 42 degrees, the ball rolls about 18 yards and the drive distance is 271 yards.However, if the landing angle is less than 42 degrees, the driving distance is 288 yards. As much as 17 yards rolled into the yards.

-You can experience repulsive coefficient effect.

In the present invention, the repulsion coefficient of the club head is set from 0.0 to 1.0, so that the change in the flying distance due to the repulsion coefficient of the club can be known in advance.

-Applied to PDA

① You can express club head speed, launch angle and actual distance by backspin.

② You can put the concept of attack angle.

③ Create a situation where the position of the green is 20 to 40m above and below the tee box.

④ Possible to indirect experience by setting environment (wind, temperature, humidity, altitude)

⑤ You can know the landing angle of the ball.-Rolling distance differs according to the landing angle of the ball.

⑥ can experience repulsive coefficient effect.

-Applied to GPS device in golf course

① You can express club head speed, launch angle and actual distance by backspin.

② You can put the concept of attack angle.

③ Create a situation where the position of the green is 20 to 40m above and below the tee box.

④ Possible to indirect experience by setting environment (wind, temperature, humidity, altitude)

⑤ You can know the landing angle of the ball. (The rolling distance varies depending on the landing angle of the ball.)

⑥ can experience repulsive coefficient effect.

-Indirect experience in the golf practice range.

By connecting a computer to a large monitor, customers can experience the following:

① You can express club head speed, launch angle and actual distance by backspin.

② You can put the concept of attack angle.

③ Create a situation where the position of the green is 20 to 40m above and below the tee box.

④ Possible to indirect experience by setting environment (wind, temperature, humidity, altitude)

⑤ You can know the landing angle of the ball. (The rolling distance varies depending on the landing angle of the ball.)

⑥ can experience repulsive coefficient effect.

-Applicable to mobile phones.

By selecting the contents of the program appropriately, the following contents can be expressed.

① You can express club head speed, launch angle and actual distance by backspin.

② You can put the concept of attack angle.

③ Create a situation where the position of the green is 20 to 40m above and below the tee box.

④ Possible to indirect experience by setting environment (wind, temperature, humidity, altitude)

⑤ You can know the landing angle of the ball. (The rolling distance varies depending on the landing angle of the ball.)

⑥ can experience repulsive coefficient effect.

-You can make the golf game similar to the real situation.

It can provide a source of game programs that are very similar to the real world rather than simple games.

-Applicable to golf club fittings

When the speed of the golfer's club head is measured on the golf club fitting, the loft angle of the head that can reach the maximum distance in that case can be known and the required impact angle.

-Can be used as a teaching aid for golf professors and students

The professors and students of the department can run the program under various conditions, so that the results of the input variables can be known in advance.

-Can improve the performance of golf players.

The first time golfers learn golf is mostly experienced guidance from senior professionals. Of course, this is also very important. But if you know the physical principles of golf and practice them, you will be able to shorten the time to become a top professional. For example, if the program according to the present invention is used, the athlete can know for himself what to do to increase the distance, so that the head speed is large, the launch angle is several degrees, the backspin is somewhat, and the attack angle is Knowing how good it is and knowing how to fit the club in accordance with the conditions, you will be able to shorten the time to learn by experience. Doing so can save you time, effort and money. In other words, you can make a scientific player.

Don't work too hard, do work smart!

-Freely convert distance and speed.

With unit converter, distances can be freely converted between m, km and yard, and speeds can be freely converted between m / s, km / h and mph.

A two-dimensional golf ball trajectory display device and method and a recording medium according to the present invention configured as described above will be described in detail with reference to the accompanying drawings. In the following description of the present invention, detailed descriptions of well-known functions or configurations will be omitted if it is determined that the detailed description of the present invention may unnecessarily obscure the subject matter of the present invention. It is to be understood that the following terms are defined in consideration of the functions of the present invention, and may be changed according to the intention of the user, the operator, or the precedent, and the meaning of each term should be interpreted based on the contents will be.

First, the present invention uses a golf ball input distance including the speed by friction with the air of the golf ball and the golf ball input conditions including the delay coefficient (C _D ) and the lift coefficient (C _L ) by the rotation of the golf ball. It was intended to predict and display accurately.

When the golf ball is impacted, the surface of the golf ball has a dragging coefficient due to friction with the air, and the golf ball has a high dragging coefficient due to the dimple. Differential equations were developed for hydrodynamic problems, which were then solved by a mathematical tool called Mathematica (mathematics, physics software) and compared to their results and their actual measurements by golf ball radar. The results were in good agreement with the actual situation at about 2% within the margin of error. Based on this data, the two-dimensional golf ball trajectory program that has been widely used by the general public has been developed.

When a golfer impacts a golf ball with the club head, the conditions are head speed, head loft angle, launch angle, back spin amount, side spin amount, wind, temperature and altitude. Depending on each given condition, the carry distance of the golf ball varies widely. The present invention provides a simulation program that can predict the distance of golf balls and the like according to given conditions.

In addition, the present invention should send more balls to the green in the upward direction than the flat, and to reduce the distance of the ball to the green in the downward direction when the green position is up or down tens of meters from the tee box. The required distance can be predicted in advance.

In addition, in the present invention, the golf ball trajectory differential equation is made, and the actual golf radar (Radar) through more than 100 simulations of the air, the dragging coefficient, and the rising coefficient of the golf ball required for this. It was compared with the measured value. As a result, the drivers matched well within 2% of the error range from the maximum distance of 346m (379 yards) to the 8th iron up to 183m (200 yards).

This mathematical model was solved by Mathematica and converted to a general program for popularization.

1 is a block diagram of a two-dimensional golf ball trajectory display device according to an embodiment of the present invention.

The environment variable input unit 100 selects a golf club, receives an environment variable including a head speed, a loft angle, and a backspin when the golf ball is impacted, and transmits the processed environment variable to the trajectory predictor 200.

The trajectory predictor 200 predicts the trajectory of the golf ball with a physical prediction model including a delay coefficient (C _D ) and an elevation coefficient (C _L ) of the golf ball with respect to the environment variable input from the environment variable input unit 100, The result is transmitted to the overall result display unit 300 and the graph display unit 400.

The comprehensive result display unit 300 displays the result predicted by the trajectory predictor 200 as a comprehensive result.

The graph display unit 400 displays the result predicted by the trajectory predictor 200 in a two-dimensional or three-dimensional graph. Although the graph display unit 400 has been described focusing on displaying a two-dimensional graph, it is also possible to display the result predicted by the three-dimensional graph.

FIG. 2 is a block diagram illustrating an example of an environment variable input unit in FIG. 1.

Thus, the operating method selection unit 111 in the environment variable input unit 100 allows to select one or more operating methods from "general", "search", "manual". That is, "normal", "search", "manual", "normal + manual", and "search + manual" can be set.

The club head impact value input unit 112 allows one or more values of club, head speed, loft angle, attack angle, side spin, and repulsive coefficient to be input.

The ball lunch value input unit 113 allows one or more values of the backspin, the speed of the ball, and the launch angle to be input.

The green state input unit 114 allows one or more values of green height and green distance to be input.

The environment input unit 115 allows one or more values of wind speed, temperature, and altitude to be input.

The control execution unit 116 causes the trajectory predictor 200 to predict the trajectory according to the environment variable input by the environment variable input unit 100.

The unit converter 117 converts meters (m), kilometers (km), yards (yards), m / s (km / h), and mph (miles) of distance from the environment variable input unit 100, respectively. Outputs

The environment variable input unit 100 may automatically receive a variety of information according to the impact of the golf ball using one or more cameras, one or more sensors, one or more terminals.

3 is a block diagram illustrating another example of an environment variable input unit in FIG. 1.

Thus, the mandatory input unit 120 may include a club selection by the club selection unit 121, a head speed input by the head speed input unit 122, a loft angle input by the loft angle input unit 123, and a back spin input unit 124. The backspin input is input to the environment variable input unit 100.

The selection input unit 130 may include an attack angle input unit 131, a side spin input unit 132, a repulsive coefficient input unit 133, a wind speed input unit 134, a temperature input unit 135, an altitude input unit 136, and a green height input unit ( 137 and the green distance input unit 138 selectively inputs one or more of attack angle, side spin, repulsive coefficient, wind speed, temperature, altitude, green height, and green distance to the environment variable input unit 100, respectively.

Thus, when necessary information necessary for processing the physical prediction model is input through the required input unit 120, the required information is received and processed. In this case, when the information input from the selection input unit 130 is not inputted, the input is not inputted. For the items, the physical prediction model is applied by using a preset value (Default value). This default value is pre-stored in an embedded database (not shown).

4 is a block diagram illustrating an example of a trajectory predictor in FIG. 1.

The physical prediction model processor 210 receives the environmental variables input from the environment variable input unit 100, and calculates the trajectory of the golf ball as a physical prediction model including a delay coefficient C _D and an elevation coefficient C _L of the golf ball. Process.

The green reaching determination unit 220 determines whether the trajectory of the golf ball processed by the physical prediction model processor 210 reaches the green.

The golf ball trajectory result collecting unit 230 collects the golf ball trajectory result when the green reach determination unit 220 determines that the golf ball has reached the green.

The result display processor 240 processes the trajectory result collected by the golf ball trajectory result collector 230 and transmits the trajectory result to the comprehensive result display unit 300 and the graph display unit 400.

In addition, the overall result display unit 300 is the head speed, ball speed, loft angle, attack angle, launch angle, backspin, side spin, green distance. Displays one or more of adjusted distance, GPS distance, increase and decrease distance, green height, wind speed, temperature, altitude, side deviation, maximum height, flight time, landing angle, and rebound coefficient.

FIG. 5 is a block diagram illustrating an example of a graph display unit in FIG. 1.

The side view display unit 410 displays the trajectory of the golf ball by displaying the result predicted by the trajectory predictor 200 in a side view.

The view display unit 420 from above displays the result predicted by the trajectory predictor 200 in a view from above to display the degree of slice or hook when a side spin is given.

6 is a flowchart illustrating a 2D golf ball trajectory display method according to an embodiment of the present invention.

First, the golf club is selected, and the environmental variables including the head speed, the loft angle, and the backspin when the golf ball is impacted are input (ST1).

The golf ball trajectories are predicted by the physical prediction model including the delay coefficient (C _D ) and the rise coefficient (C _L ) of the golf ball with respect to the input environmental variables (ST2).

Then, the predicted result is displayed as a composite result and displayed as a two-dimensional or three-dimensional graph (ST3).

FIG. 7 is a flowchart illustrating an example of golf ball trajectory prediction in FIG. 6.

First, the operation is set to "normal" operation, and when an environment variable is input (ST11), a physical prediction model for predicting the trajectory of the golf ball is performed (ST12).

Then, it is determined whether the trajectory of the golf ball by the physical prediction model reaches the green height (= 0) (ST13).

When the trajectory of the golf ball reaches the green height, the trajectory result of the golf ball is collected (ST14) and processed to be displayed on the two-dimensional graph (or the three-dimensional graph) (ST15).

8 is a flowchart illustrating another example of a golf ball trajectory prediction in FIG. 6.

So, it is set to "search" operation, and when the environment variable is input (ST21), the head speed is set (ST22).

And a physical prediction model for predicting the trajectory of the golf ball is performed (ST23).

Then, it is determined whether the trajectory of the golf ball by the physical prediction model reaches the green distance and green height (ST24). This is to determine to adjust the green reach when the position of the green is at or below the tee box.

If the trajectory of the golf ball does not reach the green distance and green height, the Newton search method calculates the head speed and then performs the physical prediction model again (ST25).

When the trajectory of the golf ball reaches the green distance and the green height, the trajectory result of the golf ball is collected (ST26) and processed to be displayed on a two-dimensional graph (or a three-dimensional graph) (ST27).

FIG. 9 is a table illustrating an example of pseudocode for explaining the Newton search method in FIG. 8.

Therefore, the initial head speed is set to the middle value of the head speed, and it is calculated repeatedly until it is within the error range to obtain the final head speed. In this case, the intermediate value means a value when the position of the green is parallel to the tee box. In other words, the Newton search method is used to adjust the green reach length when the green position is above or below the tee box. After setting, iterative calculation by Newton search method finds the final green arrival point.

Hereinafter, the configuration and operation of the present invention will be described in more detail.

FIG. 10 is a diagram illustrating a golf ball trajectory prediction, a delay coefficient C _D , and a rise coefficient C _L set in the present invention.

는 런치각이다. 또한

는 백스핀이고,

는 사이드스핀이며,

는 초기 볼 속도이다.Where z is the axis perpendicular to the ground (in the direction of gravity acceleration),

Is the launch angle. Also

Is the backspin,

Is a side spin,

Is the initial ball speed.

So the differential equations related to golf ball trajectories are as shown in Equations 1 to 3, and the meanings of C _D and C _L values and variables are as follows.

는 0.001초 단위로 계산하였다.At this time, in the calculation

Was calculated in units of 0.001 seconds.

here,

: 골프볼의 x, y, z 방향에 대한 속도

: Speed of golf ball in x, y, z direction

: 앞바람(head wind "-")과 뒷바람(tail wind "+") 속도

: Speed of head wind "-" and tail wind "+"

: 백스핀

Backspin

: 사이드스핀

Side spin

: 지구의 중력가속도(9.80m/s²)

: Earth's gravitational acceleration (9.80m / s ² )

: 공기의 밀도(해면에서의 밀도는 1.225kg/m³)

: Density of air (density at sea level is 1.225kg / m ³ )

: 고도(m)

: Altitude (m)

: 온도(℃)

: Temperature (℃)

: 골프볼의 공기 방향에 대한 면적(골프볼 반경:

= 20.55mm,

= 1.3267x10^-3m²)

: Area of golf ball in air direction (golf ball radius:

= 20.55 mm,

= 1.3267x10 ^-3 m ² )

: 골프볼 질량(0.046kg)

: Golf ball mass (0.046 kg)

: 클럽헤드의 질량(kg)

: Mass of club head (kg)

: 볼과 헤드의 반발계수

: Rebound coefficient of ball and head

: 볼의 초기속도(km/h)

: Initial speed of the ball (km / h)

: 골프볼 속도 30～100m/s에서 지연계수(dragging coefficient)로 볼의 백스핀(back spin) 1,500～12,000rpm에서 250rpm 간격으로 되어 있다.

: The golf ball has a delay coefficient of 30-100m / s at 250rpm intervals at 1,500-12,000rpm.

: 골프볼 속도 30～100m/s에서 상승계수(lifting coefficient)로 볼의 백스핀(back spin) 1,500～12,000rpm에서 250rpm 간격으로 되어 있다.

: Lifting coefficient at golf ball speed of 30-100m / s, spaced at 250rpm from 1,500-12,000rpm back spin.

11 is a graph showing the value of the delay coefficient (C _D ) and the rising coefficient (C _L ) according to the speed of the golf ball in the present invention.

So, for example, the values of Cd and Cl in the case of backspin = 3,000 rpm can be obtained as follows.

_{Cd = 0.455145 - 0.000645543 V b0 -} 0.000608165 V b0 ^ 2 + 0.0000234734 V b0 ^ 3 - 3.78044 * 10 ^ (- 7) V b0 ^ 4 + 2.87484 * 10 ^ (- 9) V b0 ^ 5 - 8.51518 * 10 ^ (-12) V _b0 ^ 6

_{Cl = 0.183432 + 0.00256376 V b0 +} 0.000342257 V b0 ^ 2 - 0.000018529 V b0 ^ 3 + 2.96622 * 10 ^ (- 7) V b0 ^ 4 - 1.76265 * 10 ^ (- 9) V b0 ^ 5 + 2.64122 * 10 ^ (-12) V _b0 ^ 6

12 is a table showing the mass and rebound coefficient of the club head according to the type of club set in the present invention.

Therefore, as shown in FIG. 12, the mass M (kg) of the club head and the rebound coefficient e are obtained according to the type of club.

In addition, the conversion formula of the loft angle and the launch angle is as shown in Equation 4 below.

Launch angle = -0.0071 * Loft angle ^ 2 + 0.96 * Loft angle

Thus, the final launch angle is obtained as

Final launch angle = launch angle + attack angle

In addition, the conversion formula of the ball speed and the head speed is shown in Equation 5 below.

Ball Speed = (Head Speed * (1 + Repulsion Factor) / (1 + Ball Mass / Club Mass)) * Cos [(Loft Angle * Pi / 180)-(6.5 * Pi / 180)]

Where Pi = 3.14.

And the distance is calculated in 0.01m units.

Meanwhile, in the present invention, 11 input variables and 20 results can be output.

Input Variable Type A: Enter 5 optional variables (Attack Angle, Side Spin, Wind Speed, Temperature, Altitude) in addition to the required 3 (Head Speed, Loft Angle, Back Spin).

-Input variable type B: Green height and green distance input There is a method of club selection.

-Output result: 20 related data about the golf ball flight are displayed.

20 outputs: head speed, ball speed, loft angle, attack angle, launch angle, backspin, sidespin, green distance. Adjusted distance, GPS distance, increase and decrease distance, green height, wind speed, temperature, altitude, side deviation, maximum height, flight time, landing angle, and rebound coefficient.

Some items of each output are as follows.

Adjusted distance (m, yard): Horizontally, the distance from the tee box to the center of the green. When the flat or green position is several ten meters above or below the tee box, the golf ball should be sent larger than the actual distance for the upper green and less than the actual distance for the lower green. Means to actually send away by modifying.

* GPS distance (m, yard): In any case, only the horizontal distance seen from above. Even when the green's position is several tens of meters above or below the tee box, the GPS only displays distance from the plain.

* Increase / Decrease Distance (m): The amount to decrease the ball's flying distance or increase the distance when the green is inclined. The value is negative for downhill travel with a shorter distance, and the value for uphill travel with additional distance. It also expresses the increase and decrease of distance due to environmental influences such as wind, temperature and altitude.

In addition, when predicting the trajectory of the golf ball, the "normal" operating method displays the input variable type A on the part (general result display unit) for calculating the golf ball trajectory coordinates and outputting the result.

In addition, when predicting the trajectory of the golf ball, the "search" operation method uses the input variable type B as an input and adjusts the club head speed. His trajectory graph is displayed on the display unit on the horizontal axis in the synthesis.

In the search operation method, the recommended backspin value may be calculated by manually specifying the club backspin value and using the recommended backspin value. The recommended backspin is then calculated using Equation 6 below.

Spin (rpm) = 60 * [160 * Head Speed (km / h) * Sin [Loft Angle * Pi / 180]]

 Where Pi = 3.14.

It also performs head speed prediction based on the club required to send the ball to the green. When the green is up (up to + 40m) or down (-40m) from the tee box, golf balls should be sent more or less than on flat land. In the present invention, the following optimum head speed is derived using Equation (7).

은

번째 예측된 헤드 속도,

은

번째 예측된 헤드 속도,

은 궤적 예측 모델 함수,

은 궤적 예측 모델을 미분한 함수이이다.here,

silver

Estimated head speed,

silver

Estimated head speed,

Is the trajectory prediction model function,

Is a function that differentiates the trajectory prediction model.

)를 예측하기 위해 입력된 그린 거리와 예측된 그린 거리 값이 오차범위(예, 1m) 안에 수렴할 때까지 반복(iteration) 계산한다.So the head speed that satisfies the input green distance (

In order to predict), iteration is calculated until the input green distance and the predicted green distance value converge within an error range (for example, 1m).

FIG. 13 is a view showing an entire execution screen of a two-dimensional golf ball trajectory program constructed using the present invention, FIG. 14 is a diagram showing an example of the configuration of an environment variable input unit in FIG. 13, and FIG. FIG. 16 is a diagram illustrating an example of a result display unit, and FIG. 16 is a diagram illustrating an example of a graph display unit in FIG. 13.

17 is a view for explaining a "normal" operating method in the environment variable input unit of FIG.

Thus, in the case of the "general" operating method, as shown in Figure 17, only the "general" item is checked. In addition, as shown in FIG. 17, only the part that is shown to be active can be changed (club selection, loft angle, attack angle, side spin, repulsive coefficient, and three environments can be changed).

FIG. 18 is a view for explaining a "normal + manual" operating method in the environment variable input unit of FIG.

So for "Normal + Manual" operating methods, only "Normal" and "Manual" are checked. This can change head speed and backspin in addition to type A (typical).

FIG. 19 is a view illustrating a state before executing in the "search" operating method in the environment variable input unit of FIG. 14, and FIG. 20 illustrates a case where the head speed and the backspin value are changed after executing in the "search" operating method of FIG. 19. The figure shown.

So for the "Search" operating method, only "Search" is checked. This gives you a green state (green height, green distance), and selecting a club gives you only the club's default values, but when you run it, it shows the optimal head speed and backspin values.

FIG. 21 is a view illustrating a state before execution in the "navigation + manual" operating method in the environment variable input unit of FIG. 14, and FIG. 22 is a head speed changed after execution in the "navigation + manual" operating method in FIG. The figure shows the case.

So for the "Search + Manual" operating method, only "Search" and "Manual" were checked. This gives you a green state (green height, green distance), and when you select and run a club, the loft angle and backspin are fixed and show the optimal head speed.

FIG. 23 is a graph illustrating an example of predicting a distance to an inclined green in the present invention, and FIG. 24 is a view showing an example in which a green is in an upward direction in FIG. 23, and FIG. 25 is a downward direction in FIG. 23. It is a figure which showed the example with a green.

So when the green is positioned up or down tens of meters from the tee box, the ball should be sent more to the green in the up direction than to the plain, and the distance of the ball should be sent to the green in the down direction. The distance can be predicted in advance.

FIG. 26 is a diagram illustrating an example of displaying different colors with different distance trajectories in the two-dimensional golf ball trajectory program of FIG. 13.

Therefore, the golf ball trajectory program screen and different distance trajectories are displayed in color. That is, the graph display unit 400 sets the impact position as (0,0), adds a green line at the vertical side = 0 position by displaying the reference of the ordinate as the height of the ball and the reference of the abscissa as the distance of the ball. Can draw the drawn line.

FIG. 27 is a diagram illustrating an example of determining a coordinate position using a mouse interface in the two-dimensional golf ball trajectory program of FIG. 13.

So you can check the coordinate position using the mouse interface. That is, the side view function of the vertical axis of the graph display unit 400 represents the height of the ball, the horizontal axis represents the distance of the ball, and the vertical deviation represents the side deviation of the ball, and the horizontal view of the horizontal axis represents the coordinate distance using the mouse interface. The display function can be checked.

28 is a table showing an example in which the distance is adjusted to include the concept of attack angle in the present invention.

So we can put in the concept of attack angle. The attack angle concept was introduced two or three years ago, and the attack distance increases when the attack is +5 degrees, as shown in the table below. The radar test data below shows that even with a head speed of 75 miles, the attack angle at +5 degrees would be 22 yards farther than -5 degrees, and the ball would fly 35 yards even at a head speed of 120 miles. In addition, it can be seen that as the head speed increases, the backspin value becomes smaller at an attack angle of +5 degrees.

Head speed
(mile) Attack angle
(deg) Ball speed
(mile) Lunch angle
(deg) Backspin
(rpm) Flying distance
(yard) Loft angle
(deg) 75 -5 degrees 105 14.1 3170 145 23.0 75  0 degrees 107 16.1 2690 156 19.0 75 +5 degrees 109 18.9 2310 167 15.0 90 -5 degrees 129 10.6 3130 195 19.5 90  0 degrees 131 13.4 2700 208 15.5 90 +5 degrees 132 16.0 2210 221 11.5 105 -5 degrees 153 8.0 3060 243 14.5 105  0 degrees 155 10.7 2520 259 12.0 105 +5 degrees 156 13.8 2070 274 10.0 120 -5 degrees 177 5.7 2880 291 12.0 120  0 degrees 178 9.0 2430 309 10.0 120 +5 degrees 179 12.1 1910 326 8.0

On the other hand, the program and the present invention developed by the present invention will be described in more detail.

(1) Purpose and Characterization of this program

-Purpose: This program is the first golf ball trajectory program developed in Korea that can predict the trajectory of golf ball in many cases.

-Features: If the green is located at or below tens of meters above the tee box, the ball must be sent to be smaller or larger than the flat to make the ball fall to the center of the green. This is the first program to suggest an adjusted distance. Most existing foreign programs offer flat distances on the plains. In addition, the conditions of the various initial states given when the ball flies can be seen.

(2) Setting conditions and characteristics of the program

Spin of the ball: The spin ranges from 1500 (rpm) to 1,750, 2,000, 2,250 units, 250 units and 12,000 rpm. The rotation speed of the golf ball was selected by the mouse. The difference in flying distance in the 250 rpm range is very small.

The coefficient of repulsion: driver and wood were 0.83, seven of which were 0.80 and irons were 0.76.

-Head weight: Driver (198g), Wood 3 (203g), Wood 5 (218g), Wood 7 (228g), Iron 3 (239g), Iron 4 (246g), Iron 5 (253g), Iron 6 (260g) , Iron 7 (267g), set to iron 8 (274g) was calculated.

Wind influences: The effects of head and tail winds vary greatly from existing theories, but are calculated similarly to existing programs.

-Type of ball: The ball used was weighed 46g for convenience and calculated based on hexagonal dimpled ball. It is about 2-4% more than the distance of a regular golf ball.

(3) Definition of terminology

-New: It is the initial state of the program.

-Delete: You can delete the results one by one from the overall result of the ball.

-Delete All: Delete all results from the overall result of the ball.

-Save: Only the picture is saved from the overall result of the ball.

Save as: Saves the picture under a different name in the overall result of the ball.

-Print: Only pictures are printed from the overall result of the ball.

Exit: Exit the program.

-Help: Provides information including how to use this program.

(4) Operation method selection

General: Only the necessary values are represented, centering on the club's default values. You cannot specify the head speed here.

Seek: After the club has been determined, the backspin value is automatically searched if the drawn values are determined.

General and Manual: Only clubhead impact values and backspins can be specified for each club.

-Search and Manual: You can only set the backspin and green values based on the default value of each club.

<Clubhead impact value>

-Club (No): Driver, Wood 3, Wood 5, Wood 7, Iron 3, Iron 4, Iron 5, Iron 6, Iron 7, Iron 8 means a total of 10.

Head speed (km / h): The head speed at the moment of impact between the golf ball and head when the club swings down.

-Deg: The unique loft angle of each club. Golfers have a loft angle of about 2 degrees. For example, if the driver has a loft angle of 10 degrees for the driver, enter 12 degrees. Sometimes it is not. Know the actual loft angle of the driver.

-Deg: The angle between the head path and the ground when the ball is impacted by the club. If the head path is parallel to the ground, the attack angle is "0" deg. If the attack angle changes, only the launch angle changes.

값을 사용한다. 왼쪽(-), 오른쪽(+)으로 회전하는 방향을 뜻한다. 오른손잡이는 +는 슬라이스, -는 후크를 뜻한다. -1,200～ +1,200rpm까지 50rpm 간격으로 되어 있다.-Side spin (rpm): Side spin of the golf ball that causes slices or hooks.

Use a value. It means the direction to rotate left (-) and right (+). Right-handed, + means slice and-means hook. The interval is 50rpm from -1,200 to + 1,200rpm.

COR (Coefficient of Restitution): The club's coefficient of restitution, with wood being 0.83 (wood no.7: 0.80) and iron at 0.76.

<Launch value of the ball>

Recommended backspin (rpm): Recommended backspin means the optimal spin of the golf ball. In other words, the ball fits well into the club head's switch spot. This is determined when the head speed and the loft angle of the club are determined. It is a stable and reproducible spin value. Of course, the distance from the other spins is farther away, which impacts the top of the ball's head, reducing the spin value and increasing the ball's speed. However, this case is very small and not reproducible. In other words, when the ball is far away, it cannot fly straight because of the impact.

-Backspin (rpm): The revolution per minute (rpm) after the golf ball impacts. 1,500, 1,750, 2,000, 2,250 ~ 12,000rpm The backspin value is preferably executed by selecting the recommended spin value.

-Speed of the ball (km / h): The speed at which the golf ball leaves the club after it has been impacted.

-Launch angle (deg): The angle to the ground when the golf ball leaves the club.

<Green state>

-Height of the green (m): The green's position is several meters above or below the tee box.

Green Distance (m): The distance from the Tee Box to the Green. This includes the case from the tee box to the inclined green up or down.

<Environment>

-Wind Speed (m / s): Head wind is-, Tail wind is + and unit is m / s.

-Altitude (m): The default is sea level, with height "0m".

-Temperature (℃): The air temperature is Celsius (℃) and the default is "20 ℃".

-Humidity: Humidity has little effect, so it was fixed at 50%.

<Unit converter>

Unit Changer: You can see the results from time to time by converting meters (m), kilometers (km), yards in distance, and m / s, km / h, mph in miles. Mile per hour, however, is the distance expressed in miles per hour.

<Comprehensive Result of Ball>

Adjusted Distance (m, yard): Horizontally, the distance from the tee box to the center of the green. When the flat or green position is several ten meters above or below the tee box, the golf ball should be sent larger than the actual distance for the upper green and less than the actual distance for the lower green. Means the distance you actually have to spend.

GPS distance (m, yard): In any case, only the horizontal distance seen from above. Even when the green's position is several tens of meters above or below the tee box, the GPS only displays distance from the plain.

-Increase / Decrease distance (m): It means the amount to decrease the distance of the ball or increase the distance when the green is inclined. The value is negative for downhill travel with a shorter distance, and the value for uphill travel with additional distance. It also expresses the increase and decrease of distance due to environmental influences such as wind, temperature and altitude.

-Deviation (m): It is the distance that indicates the degree of slice or hook from left to right.

-Max Height (m): It means the maximum height when the golf ball flies.

-Flight Time (sec): The time the golf ball floats in the air.

-Descent Angle (deg): When the golf ball falls to the ground, it is in angle with the ground and contrasts with the launch angle.

-Yard (yard) display: Green distance, adjusted distance, GPS distance is also displayed in yards so that it can be easily converted to meters (m).

<Control>

-Run: It operates to see the trajectory result of the ball after the input is completed. Click Run to activate the golf ball trajectory program.

<Golfball track program>

 -Side View: When viewing the trajectory of the ball from the side, you can see the trajectory of the ball.

 Top View: You can see the degree of slices or hooks given a sidespin.

 -Carry Distance (m): Expressed green distance, adjusted distance, and GPS distance.

 -Height of the ball (Height, m): It represents the height of the ball according to the distance while the ball is flying.

(4) How to use

-When you open the program, the materials are made based on the following standard club materials.

(Example) If the driver is selected and executed in the club (No), the head speed is displayed at 175km / h, the loft angle (deg) is displayed at 10 degrees, the remaining backspin 3,000rpm, the ball speed 256km / h, lunch angle 8.89 deg, repulsion The factor 0.83 is entered automatically.

Here, the trajectory of the ball is created on the graph as a result of the execution, and the result is 21 data in the overall result of the ball.

-After selecting a club, select and enter Head Speed, Loft Angle, Attack Angle, Side Spin, Back Spin, Green Height, Green Distance, Wind Speed, Temperature, and Altitude. If you select and run the loft angle only, the result is also shown in the graph and ball.

Default Club: Provides the best conditions for each club of amateurs, including drivers.

29 is a table showing an example showing the best conditions for the standard club in the present invention.

-Unit converter: Initially, both input part and result part are set to "0", but if you input a number in the input part and select a unit, then select the unit to change again in the result, the distance and speed change frequently. You can see the result.

To use the green state:

(Example 1) If the straight line is 150m and the center of the green is 30m below the horizontal, how much should you send the ball down? The golfer spends 150 meters on the plain with five irons.

In this program, if you select 5 irons, the green distance is 150 and the green height is -30, and you run it, the ball will show 123 at the adjusted distance in the overall result. In other words, the golfer thinks that he sends the ball to 123m with 5 irons and sends the ball. However, if the golfer sends 120 irons from the flat, he may impact the ball with eight irons. Of course, since the ball is sent to 8, when the ball falls to the distance of 150, the distance is slightly different. In this case, the difference is about 2 to 3m.

30 is a view showing the relationship between the loft angle, launch angle, attack angle and the state in the present invention, Figure 31 is a view showing an example of defining the launch angle, landing angle and height in the present invention, Figure 32 FIG. 33 is a view illustrating a relationship between a distance drawn and an adjusted distance and a GPS distance in the present invention, and FIG. 33 is a view showing an example of setting an adjusted distance when the green is down in FIG. 32, and FIG. 34 is drawn in FIG. 32. FIG. 35 is a view showing an example of setting the adjusted distance when it is above, and FIG. 35 is a view showing the trajectory of the golf ball according to the setting of the side spin when the green is down in the present invention.

So, as in FIG. 30, the attack angle is positive (+). Even if the loft angle is small, the launch angle may be large, and even at the same loft angle, the driver launch angle may vary. The ribbon picture represents the center of gravity. The loft angle of 10 degrees is the launch angle of 8.9 degrees. The launch angle also depends on the attack angle. In this case, if the attack angle is +5 degrees, the launch angle is 8.9 + 5 = 13.9 degrees.

32 shows the green at a distance of about 225 yards horizontal.

33 shows that the green distance, which is the distance from the tee box to the green, is about 201 yards and the green is about 20 yards down. In this case, the adjusted distance and the GPS distance are different. In this case, the golfer thinks the green is about 175 yards away, so he must send the ball so that the ball can reach the green of 201 yards.

In the case of Figure 34, the Green Distance, the distance from the tee box to the green, is about 170 yards and the green is about 13 yards up. In this case, the adjusted distance and the GPS distance are different. In this case, the golfer thinks there is a green at about 190 yards of adjusted distance so he must send the ball so that the ball can reach 170 yards.

In the case of Figure 35, when the green position is 12m in the downward direction at 245m, when the back spin of the ball is 3,000rpm, the side spin is 500rpm in the hook direction (-), the ball will fly to the left about 18m knitting, If the side spin is 500rpm in the slice direction (+), the ball is about 18m knitting to the right and falls off.

36 is a conceptual diagram illustrating an example of application to various terminals using a two-dimensional golf ball trajectory program according to the present invention.

So, the present invention can be applied to screen golf, PDA, golf course GPS, mobile phone, golf game, golf practice terminal, golf club fitting, etc., professors and students of golf department, golf players, aspiring golf players, golf club members, golf Participants can use it.

Although the present invention has been described in more detail with reference to examples, the present invention is not necessarily limited to these examples, and various modifications can be made within the scope without departing from the spirit of the present invention. Therefore, the embodiments disclosed in the present invention are not intended to limit the technical spirit of the present invention but are to be described, and the scope of the technical idea of the present invention is not limited by these embodiments. The protection scope of the present invention should be interpreted by the claims, and all technical ideas within the scope equivalent thereto should be construed as being included in the scope of the present invention.

1 is a block diagram of a two-dimensional golf ball trajectory display device according to an embodiment of the present invention.

FIG. 2 is a block diagram illustrating an example of an environment variable input unit in FIG. 1.

3 is a block diagram illustrating another example of an environment variable input unit in FIG. 1.

4 is a block diagram illustrating an example of a trajectory predictor in FIG. 1.

FIG. 5 is a block diagram illustrating an example of a graph display unit in FIG. 1.

6 is a flowchart illustrating a 2D golf ball trajectory display method according to an embodiment of the present invention.

FIG. 7 is a flowchart illustrating an example of golf ball trajectory prediction in FIG. 6.

8 is a flowchart illustrating another example of a golf ball trajectory prediction in FIG. 6.

FIG. 9 is a table illustrating an example of pseudocode for explaining the Newton search method in FIG. 8.

FIG. 10 is a diagram illustrating a golf ball trajectory prediction, a delay coefficient C _D , and a rise coefficient C _L set in the present invention.

11 is a graph showing the value of the delay coefficient (C _D ) and the rising coefficient (C _L ) according to the speed of the golf ball in the present invention.

12 is a table showing the mass and rebound coefficient of the club head according to the type of club set in the present invention.

13 is a view showing the entire execution screen of the two-dimensional golf ball trajectory program constructed using the present invention.

14 is a diagram illustrating an example of a configuration of an environment variable input unit in FIG. 13.

FIG. 15 is a diagram illustrating an example of a configuration of a synthesis result display unit in FIG. 13.

FIG. 16 is a diagram illustrating an example of a configuration of a graph display unit in FIG. 13.

17 is a view for explaining a "normal" operating method in the environment variable input unit of FIG.

FIG. 18 is a view for explaining a "normal + manual" operating method in the environment variable input unit of FIG.

FIG. 19 is a view illustrating a state before execution in the "search" operating method in the environment variable input unit of FIG. 14.

20 is a diagram illustrating a case in which the head speed and the backspin value are changed after execution in the “search” operation method of FIG. 19.

FIG. 21 is a view showing a state before executing in the "search + manual" operating method in the environment variable input unit of FIG.

22 is a diagram illustrating a case where the head speed is changed after execution in the " search + manual " operating method of FIG.

23 is a graph illustrating an example of predicting a distance to an inclined green in the present invention.

FIG. 24 is a diagram illustrating an example in which there is a green in FIG. 23.

FIG. 25 is a diagram illustrating an example in which there is a green downward in FIG. 23.

FIG. 26 is a diagram illustrating an example of displaying different colors with different distance trajectories in the two-dimensional golf ball trajectory program of FIG. 13.

FIG. 27 is a diagram illustrating an example of determining a coordinate position using a mouse interface in the two-dimensional golf ball trajectory program of FIG. 13.

28 is a table showing an example in which the distance is adjusted to include the concept of attack angle in the present invention.

29 is a table showing an example showing the best conditions for the standard club in the present invention.

30 is a view showing the relationship between the loft angle, launch angle, attack angle and the state in the present invention.

31 is a view showing an example of defining a launch angle, landing angle and height in the present invention.

32 is a view showing a relationship between the distance drawn and the adjusted distance and the GPS distance in the present invention.

FIG. 33 is a diagram illustrating an example of setting an adjusted distance when the green is down in FIG. 32.

FIG. 34 is a diagram illustrating an example of setting an adjusted distance when the green is positioned in FIG. 32.

35 is a view showing the trajectory of the golf ball according to the setting of the side spin when the green is below in the present invention.

36 is a conceptual diagram illustrating an example of application to various terminals using a two-dimensional golf ball trajectory program according to the present invention.

Explanation of symbols on the main parts of the drawings

100: environment variable input unit

111: operating method selection unit

112: clubhead impact value input unit

113: lunch value input unit of the ball

114: green state input unit

115: environment input unit

116 control execution unit

117: unit converter

120: required input unit

121: Club Selection

122: head speed input unit

123: loft angle input unit

124: backspin input

130: selection input unit

131: attack angle input unit

132: side spin input unit

133: repulsive coefficient input unit

134: wind speed input unit

135: temperature input unit

136: altitude input unit

137: green height input unit

138: green distance input unit

200: trajectory prediction unit

210: physical prediction model processing unit

220: green delivery judgment unit

230: golf ball trajectory result collector

240: result display processing unit

300: integrated result display unit

400: graph display unit

410: side view display

420: view display from above

Claims (23)

An environment variable input unit for selecting a golf club and receiving environment variables including a head speed, a loft angle, and a backspin when the golf ball is impacted; The delay coefficient indicating that the golf ball is delayed and the golf ball are raised due to the dimple on the surface of the golf ball according to the change in the speed and the amount of rotation of the golf ball flying with respect to the environment variable input from the environment variable input unit. A physical prediction model consisting of differential equations including coefficients predicts the trajectory of the golf ball, and if the predicted trajectory does not reach the final green distance and green height, it is repeated by Newton's search method. A trajectory predictor for predicting a final trajectory; A comprehensive result display unit which displays the result predicted by the trajectory predictor as a comprehensive result; A graph display unit which displays the result predicted by the trajectory predictor in a two-dimensional or three-dimensional graph; Two-dimensional golf ball trajectory display device comprising a. The method according to claim 1, The environment variable input unit, An operation method selection unit for selecting one or more operation methods from “general”, “search”, “manual”; A club head impact value input unit for inputting one or more values of club, head speed, loft angle, attack angle, side spin, and rebound coefficient; A ball launch value input unit configured to input one or more values among a backspin, a speed of a ball, and a launch angle; A green state input unit configured to input at least one of a green height and a green distance; An environment input unit configured to input one or more values of wind speed, temperature, and altitude; One or more inputs; A control execution unit for predicting the trajectory predictor as a trajectory according to the environment variable input by the environment variable input unit; A unit converter for converting meters (m), kilometers (km), yards, yards (m / s), km / h, and mph (miles) of speeds from the environment variable input unit and outputting the results; Two-dimensional golf ball trajectory display device comprising a. The method according to claim 1, The environment variable input unit, An essential input unit for inputting a club, a head speed, a loft angle, and a back spin to the environment variable input unit; A selection input unit configured to selectively input one or more of attack angle, side spin, repulsive coefficient, wind speed, temperature, altitude, green height, and green distance to the environment variable input unit; Two-dimensional golf ball trajectory display device comprising a. The method according to claim 1, The locus predicting unit, A physical prediction model processor which receives the environment variable input from the environment variable input unit and processes a golf ball trajectory with a physical prediction model including a delay coefficient and a rising coefficient of the golf ball; A green reach determination unit that determines whether the trajectory of the golf ball processed by the physical prediction model processor reaches the green; A golf ball trajectory result collecting unit for collecting the trajectory result of the golf ball when the green reaching determination unit determines that the golf ball has reached the green; A result display processing unit for processing the trajectory result collected by the golf ball trajectory result collecting unit and transferring the trajectory result to the comprehensive result display unit and the graph display unit; Two-dimensional golf ball trajectory display device comprising a. The method according to claim 1, The locus predicting unit, To predict the trajectory using the following equation,

Where C _D is the delay coefficient at the golf ball speed of 30 to 100 m / s and is set at 250 rpm intervals at 1,500 to 12,000 rpm for the backspin of the ball, and C _L is the coefficient of ascension at the golf ball speed of 30 to 100 m / s. 2D golf ball trajectory display device, characterized in that the backspin is set at intervals of 1,500 ~ 12,000rpm 250rpm. The method according to claim 1, The locus predicting unit, About a loft angle and a lunch angle,  Launch angle = -0.0071 * Loft angle ^ 2 + 0.96 * Loft angle A two-dimensional golf ball trajectory display device, characterized by predicting the trajectory by converting the result. The method according to claim 1, The locus predicting unit, About ball speed and head speed, Ball Speed = (Head Speed * (1 + Repulsion Factor) / (1 + Ball Mass / Club Mass)) * Cos [(Loft Angle * Pi / 180)-(6.5 * Pi / 180)] A two-dimensional golf ball trajectory display device, characterized by predicting the trajectory by converting the result. The method according to claim 1, The locus predicting unit, If the "environment" is set in the environment variable input unit, the club is selected, and if the green height and the green distance are input, iteratively calculates the green head and the green height by adjusting the speed of the club head. And processing to display a locus graph of club head speed and club head speed on the graph display unit. The method according to claim 1, The locus predicting unit, At the time of setting the backspin of the club, Spin (rpm) = 60 * [160 * Head Speed (km / h) * Sin [Loft Angle * Pi / 180]] And calculating the spin to display the recommended backspin. The method according to claim 1, The locus predicting unit, If the position of the green is above or below the tee box, use the following equation to derive the optimum head speed needed,

here,

silver

Estimated head speed,

silver

Estimated head speed,

Is the trajectory prediction model function,

Is a derivative function of the trajectory prediction model, and the head velocity satisfying the input green distance (

2D golf ball trajectory display device, characterized in that it is repeatedly calculated until the input green distance and the predicted green distance values converge in the error range to predict). The method according to claim 1, The comprehensive result display unit, Head Speed, Ball Speed, Loft Angle, Attack Angle, Launch Angle, Backspin, Sidespin, Green Distance. Two-dimensional golf, including one or more of adjusted distance, GPS distance, increase and decrease distance, green height, wind speed, temperature, altitude, side deviation, maximum height, flight time, landing angle, and rebound coefficient Ball trajectory display device. The method according to claim 1, The graph display unit, A side view display unit displaying the trajectory of the golf ball by displaying the result predicted by the trajectory predictor in a side view; A view display unit for displaying the result predicted by the trajectory predictor as a view from above to display the degree of a slice or a hook when a side spin is given; Two-dimensional golf ball trajectory display device comprising a. The method according to claim 1, The graph display unit, Golf ball trajectory program screen and different trajectory trajectories are displayed in color, and the graph display unit sets the impact position as (0,0), and the ordinate is based on the height of the ball and the abscissa is displayed on the distance of the ball. 2D golf ball trajectory display device characterized in that to display the line of the green by adding a line of a specific color in the vertical position = 0 position. The method according to claim 1, The graph display unit, The side view function shows the height of the ball on the vertical axis, the distance of the ball on the horizontal axis, the side deviation of the ball on the vertical axis, the top view of the distance on the horizontal axis, and the display function to check the coordinate position using the mouse interface. 2D golf ball trajectory display device, characterized in that performed. The method according to claim 1, The graph display unit, A two-dimensional golf ball trajectory display device characterized by drawing a hole flag shape on the green of the final delivery position. The method according to claim 1, The graph display unit, A two-dimensional golf ball trajectory display device characterized by drawing a straight line segment of a specific color from the impact position to the drawn distance and the green height on a two-dimensional golf ball trajectory graph. The method according to claim 1, The graph display unit, A two-dimensional golf ball trajectory characterized by displaying a picture with a green flag on the inclined area when the green height is higher or lower than the impact, and displaying a picture in which the wind is blowing in the reverse or forward direction when the wind speed is negative or positive. Display device. The method according to claim 1, The graph display unit, A two-dimensional golf ball trajectory display device, characterized in that the processing to store or print a plurality of two-dimensional golf ball trajectory graph results as a picture image. 19. A recording medium storing an installation program or an execution program for executing a golf ball trajectory prediction on a computer using the two-dimensional golf ball display device according to any one of claims 1 to 18. The method of claim 19, The recording medium, Screen golf, PDA, golf course GPS, mobile phone, golf game, golf practice terminal, a golf club fitting device, characterized in that applied to one or more of the recording medium. Selecting a golf club and receiving an environment variable including a head speed, a loft angle, and a backspin when the golf ball is impacted; According to the environment variable input in the first step, the delay coefficient indicating that the golf ball is delayed and the golf ball are raised due to the dimple on the surface of the golf ball according to the change in the speed and the amount of rotation of the golf ball fly. A physical prediction model consisting of differential equations including coefficients predicts the trajectory of the golf ball, and if the predicted trajectory does not reach the final green distance and green height, it is repeated by Newton's search method. A second step of predicting a final trajectory; A third step of displaying the result predicted in the second step as a comprehensive result and displaying the result in a two-dimensional or three-dimensional graph; 2D golf ball trajectory display method comprising the step of performing. 23. The method of claim 21, The second step, An eleventh step of performing a physical prediction model for predicting the trajectory of the golf ball, when set to "normal" operation and inputting an environment variable; A twelfth step of determining whether the trajectory of the golf ball by the physical prediction model reaches the green height after the eleventh step; A thirteenth step of, if the trajectory of the golf ball reaches the green height in the twelfth step, processing the golf ball trajectory result and displaying it on a two-dimensional graph; 2D golf ball trajectory display method comprising the step of performing. The method according to claim 21 or 22, The second step, A twenty-first step of setting the head speed if it is set to "search" operation and an environment variable is input; A twenty-second step of performing a physical prediction model for predicting the trajectory of the golf ball after the twenty-first step; A twenty-third step of determining whether the trajectory of the golf ball by the physical prediction model reaches the green distance and the green height after the twenty-second step; If the trajectory of the golf ball does not reach the green distance and the green height in the twenty-fourth step, calculating the trajectory of the golf ball by the Newton search method and then returning to the twenty-first step; If the trajectory of the golf ball reaches the green distance and the green height in the twenty-fourth step, a twenty-fifth step of collecting the golf ball trajectory results and processing them to be displayed on a two-dimensional graph; 2D golf ball trajectory display method comprising the step of performing.

Images