A genetic algorithm-based method and system for optimizing the technique of the Fosbury Flop

Abstract

The present application relates to a kind of genetic algorithm-based back over high jump technique optimization method and system.The method includes: from the analysis of the three stages of run-up stage, take-off stage and over pole stage, constructs the characteristic index of back over high jump;With the characteristic index of back over high jump constructed, with the goal of maximizing final high jump result, constructs back over high jump technique action optimization model;According to the constructed back over high jump technique action optimization model, optimal solution is obtained using genetic algorithm, and the optimal technical combination of high jumper and the optimal high jump result that can be achieved are obtained.The present application can realize the extraction of back over high jump technical characteristics based on high jump training and competition data, high jump technique action optimization modeling and optimal technical combination solution, and provide a useful reference for scientifically improving the high jump result of athletes.

Description

Technical Field

[0001] This invention relates to the field of Fosbury Flop performance optimization, specifically to a Fosbury Flop technique optimization method and system based on genetic algorithms. Background Technology

[0002] The Fosbury Flop is a high jump consisting of a rhythmic run-up, a single-leg jump, an arched back position on the bar, an upward leg swing over the bar, and a landing. The athlete's jumping ability, flexibility, and technique determine the highest height they can successfully clear.

[0003] From a bio-kinetic perspective, the Fosbury Flop high jump is essentially a physical process consisting of three parts: the approach run, the take-off, and the clearance phase. To improve performance in this high jump, it is necessary to theoretically analyze these three phases using concepts from physics such as force decomposition, energy conversion, and moment of inertia.

[0004] The optimal approach run route and the rhythm of the last two steps are crucial for achieving the best approach speed. Existing research demonstrates that a curved approach run effectively reduces the body rotation angle and facilitates a smooth clearance over the bar. The last two steps have the greatest impact on the overall high jump performance; therefore, studying the angle of the last two steps can help determine the optimal curved approach run route.

[0005] The take-off phase is the process of converting kinetic energy, the fundamental energy source, into kinetic potential energy, which is reflected in the height of the rise of the center of gravity. Kinetic energy is mainly manifested in the kinetic energy converted from the speed during the approach run, the kinetic energy of the take-off velocity, and the kinetic energy of the body's swing. Analyzing the speed conversion process, the horizontal velocity upon landing during the approach run is converted into vertical and horizontal velocity at the moment of take-off. From a bio-kinematic perspective, the vertical impulse gained by the human body during the take-off phase is proportional to the magnitude of the vertical impulse and the duration of the take-off. The main factor affecting the take-off time is the extension of the hip, knee, and shoulder joints at the moment of take-off. The energy conversion process of the athlete during the take-off phase is as follows: Figure 1 As shown.

[0006] After the body takes off, it enters the bar-clearing phase. Ignoring air resistance, it can be considered as being unaffected by external forces, so the athlete's internal net force is zero, and it is also unaffected by external torques. At this point, the angular momentum of the system is conserved. After the head clears the bar, the athlete immediately tilts their head back and chest out significantly, and lowers their swing leg. The angular momentum of the head and chest segment swinging backward around the frontal axis of the hip joint is equal to the angular momentum of the swing leg segment swinging downward around the frontal axis of the hip joint. Therefore, during the Fosbury Flop, the significant backward tilt of the head, chest expansion, and active lowering of the swing leg cause the hips to rise, forming a significant arch in the back.

[0007] Existing research has modeled and empirically analyzed the technical movements of each stage of the Fosbury Flop high jump, serving as a reference for athletes' training and performance improvement. However, the technical movements of each stage not only need to cooperate but also often have mutual constraints. Therefore, only by constructing and solving a complete technical optimization model of the Fosbury Flop high jump technique, with the goal of maximizing the final high jump performance and constrained by the athlete's physical fitness indicators, can we provide athletes with a more effective and holistic reference for the optimal combination of technical movements. Summary of the Invention

[0008] The technical problem to be solved by this invention is to provide a method for optimizing the high jump technique of Fosbury Flop high jump athletes based on genetic algorithms, so as to realize the extraction of Fosbury Flop high jump technique features, optimization modeling of high jump technique movements, and solution of optimal technique combination based on high jump training and competition data, and provide a useful reference for scientifically improving athletes' high jump performance.

[0009] The technical solution adopted by this invention to solve its technical problem is:

[0010] A method for optimizing the Fosbury Flop high jump technique based on genetic algorithms includes the following steps:

[0011] The Fosbury Flop high jump is analyzed from three stages: the approach run, the take-off, and the bar clearance. Characteristic indicators of Fosbury Flop are constructed.

[0012] Using the constructed characteristic indicators of the Fosbury Flop high jump, with the goal of maximizing the final high jump performance, a Fosbury Flop high jump technique optimization model is constructed.

[0013] Based on the constructed Fosbury Flop technique optimization model, a genetic algorithm is used to obtain the optimal solution, thus obtaining the optimal technique combination and the optimal high jump score that the high jumper can achieve.

[0014] Furthermore, the characteristic indicators of the Fosbury Flop high jump constructed during the approach run include the bar clearance angle G0, which represents the angle between the direction of the center of gravity trajectory at the final take-off and the bar.

[0015] Furthermore, the characteristic indicators of the Fosbury Flop high jump constructed during the take-off phase include:

[0016] v0 represents the horizontal velocity of the center of mass at the moment the take-off foot touches the ground.

[0017] loss rate This reflects the physical condition and technical level of the high jumper during the braking process, of which v0 * This represents the horizontal velocity of the center of mass at the moment of takeoff.

[0018] The shoulder-hip-knee angle Γ is the sum of the shoulder joint angle and the knee joint angle.

[0019] Furthermore, the characteristic indicators of the Fosbury Flop high jump constructed during the bar-clearing phase include:

[0020] Takeoff speed v t It is the resultant velocity of the center of mass at the instant of takeoff;

[0021] The takeoff angle θ is the angle between the center of mass and the horizontal plane at the instant of takeoff.

[0022] The take-off distance L is the distance from the take-off point to the horizontal projection of the crossbar.

[0023] Thickness h ′ It is the thickness from the hip joint to the edge of the buttock at the moment of passing the pole.

[0024] Furthermore, the Fosbury Flop high jump technique optimization model is constructed by determining the objective function expression and establishing corresponding constraints, ultimately forming a nonlinear optimization problem, which is then solved using a genetic algorithm.

[0025] Furthermore, the objective function and the constraints are as follows:

[0026] Objective function: maxH = H0 + H1 + H2 - H3 - H4;

[0027] Right now:

[0028]

[0029] First constraint:

[0030] The second constraint:

[0031] The third constraint:

[0032] The fourth constraint:

[0033] Where H represents the high jump score; H0 is the height of the body's center of gravity above the ground when the swing leg lands in the final step of the approach run and the body's center of gravity shifts forward to a vertical position; H1 is the vertical distance between the body's center of gravity and H0 at the instant the take-off leg leaves the ground; H2 is the height of the center of gravity during take-off; H3 is the vertical distance between the instantaneous height above the bar and the bar; H4 is the actual descent height over the bar when the highest point is not directly above it; m is the jumper's mass; k HL This is the buffer extension coefficient.

[0034] A genetic algorithm-based optimization system for the Fosbury Flop high jump technique includes:

[0035] The feature index construction module is used to analyze the three stages of the Fosbury Flop high jump: the approach run, the take-off, and the bar clearance.

[0036] The optimization model building module is used to construct an optimization model for the Fosbury Flop technique by utilizing the constructed feature indicators of the Fosbury Flop, with the goal of maximizing the final high jump performance.

[0037] The model solving module is used to obtain the optimal solution based on the constructed Fosbury Flop high jump technique optimization model, using a genetic algorithm to obtain the optimal technique combination and the optimal high jump performance that the high jumper can achieve.

[0038] The beneficial effects of this invention are:

[0039] 1. For the initialization of the competition model, this invention analyzes the three aspects of the approach run, take-off, and bar clearance phases, constructs and quantifies the technical characteristics of the Fosbury Flop high jump, and these technical characteristics provide important references for the training of high jumpers (athletes, etc.).

[0040] 2. A theoretical optimization model for optimizing the high jump event was established through the initialization of the high jump competition model, the construction of the optimization problem, and the solution of technical parameters. The genetic algorithm was used to solve the optimization problem, which allowed for a more intuitive analysis of the factors affecting high jump performance and improved training efficiency. Attached Figure Description

[0041] Figure 1 This is a flowchart of the athlete's energy conversion during the take-off phase, as analyzed in this invention.

[0042] Figure 2 This is a schematic diagram of the parameters of the model in the run-up phase of this invention.

[0043] Figure 3 This is a schematic diagram of the last two steps of the run-up route analyzed in the theory of this invention.

[0044] Figure 4 This is a schematic diagram of the athlete's movement trajectory during the pole-jumping phase, based on the theoretical analysis of this invention;

[0045] Figure 5 This is a schematic diagram illustrating the relationships between various variables during the model establishment process of this invention. Detailed Implementation

[0046] To make the above-mentioned objects, features and advantages of the present invention more apparent and understandable, the present invention will be further described in detail below with reference to specific embodiments and accompanying drawings.

[0047] Table 1 provides an explanation of the variables used in establishing the model of this invention.

[0048] Table 1. Variables and their definitions

[0049]

[0050] The objective function of the Fosbury Flop high jump technique optimization model is to maximize the athlete's high jump performance. The athlete's high jump performance, i.e., the height of the bar that the athlete successfully clears, is equal to the height of the athlete's center of gravity at the time of clearance minus the minimum distance between the center of gravity and the bar height required due to physical conditions and technical limitations of the athlete.

[0051] The height of an athlete's center of gravity when clearing a bar is determined by their initial take-off speed and take-off angle. Factors affecting the minimum distance between the required center of gravity height and the bar height include the initial take-off speed, take-off angle, take-off point position, bar clearance angle, and bar clearance technique. The initial take-off speed is determined by the approach run speed and the technical characteristics of the take-off phase. The take-off angle and take-off point are also determined during the take-off phase.

[0052] 1. Run-up phase

[0053] The decision variables for approach speed include the direction and angle of the foot trajectory (foot path) of the final step of the approach run. G i (This represents the direction and angle of the center of gravity trajectory in the i-th step from the end, and G0 represents the direction of the center of gravity trajectory when the jump leaves the ground, i.e., the angle across the bar). The horizontal coordinate is marked as X, and the vertical coordinate is marked as Y.

[0054] The calculation method is as follows:

[0055] Angle γ: The angle formed by the horizontal coordinates of the left end and the right end of the crossbar, such as... Figure 2 As shown.

[0056]

[0057] Among them, X a Y a X represents the horizontal coordinates of the toes of the take-off foot at the moment of landing; b Y b Let x and y be the horizontal coordinates of the toes of the running foot at the moment of final takeoff.

[0058] Because after takeoff, ignoring the effects of air resistance, the trajectory of the human body under the influence of gravity is fixed, so G0 is calculated as follows:

[0059]

[0060] Among them, X c Y c Let X be the x and y coordinates of the athlete's center of mass on the horizontal plane when the center of mass reaches its highest point; d Yd Let x and y be the horizontal coordinates of the center of mass at the moment of takeoff.

[0061] Let X = f(t), Y = g(t)

[0062]

[0063]

[0064] The corresponding slope k of the tangent line of the arc is: The corresponding calculation methods for G1 and G2 are as follows:

[0065] G1=arctank1-γ

[0066] G2 = 180° - arctank2 - γ

[0067] Where k1 is the slope corresponding to the direction angle G1 of the centroid trajectory in the penultimate step, and k2 is the slope corresponding to the direction angle G2 of the centroid trajectory in the second-to-last step. G1 and G2 are as follows... Figure 3 As shown.

[0068] 2. Take-off phase

[0069] Regarding the technical characteristics of the take-off phase, a comprehensive physical analysis reveals that due to the braking process, the final velocity during the approach run will not completely convert to the take-off velocity. Therefore, the efficiency of velocity utilization becomes particularly important. When the athlete transitions from the approach run to the take-off phase, braking occurs. This braking results in the conversion of horizontal velocity into upward kinetic energy, but also a loss of velocity. To reflect the efficient utilization of this horizontal velocity, assuming other velocity losses are zero and the direction of the horizontal velocity at the center of mass remains unchanged, the loss value is v0 - v0. * loss rate If the moment of takeoff and landing is a closed space, the less horizontal velocity loss of the center of mass, the more kinetic energy is converted into upward velocity. This also reflects the athlete's physical condition and technical level at that moment, and is called the athlete's individual characteristic value.

[0070] Furthermore, this invention can reflect the extension state by analyzing the changes in the angles of the hip, knee, and shoulder joints during takeoff and landing. The definitions of each joint angle are as follows:

[0071] Hip joint angle—the angle formed by the line connecting the knee and hip joints and the line connecting the hip joint to the shoulder joint; Knee joint angle—the angle formed by the line connecting the knee and hip joints of the take-off leg and the line connecting the knee and ankle joints of the take-off leg; Shoulder joint angle—the angle formed by the straight lines extending from the shoulder axis and the vertical line of the body; Shoulder-hip-knee angle Γ = shoulder joint angle + knee joint angle.

[0072] 3. Bar-crossing phase

[0073] Pole clearing technique: The moment an athlete leaves the ground, assuming the athlete is a center of mass, then, neglecting air resistance, the athlete will undergo an upward projectile motion with a certain speed, such as... Figure 4 , Figure 5 As shown. Based on the principle of parabolic trajectory calculation in physics, the expression for the height of the center of mass can be obtained:

[0074]

[0075] Where v t y is the takeoff velocity (initial takeoff velocity), y0 is the initial distance of the athlete's center of mass from the ground, θ is the takeoff angle, g is the gravitational acceleration, t is the time, and y is the height of the center of mass.

[0076] In addition to meeting the required vertical height for the jump, the athlete must also ensure that the horizontal distance traveled after takeoff exceeds the distance L between the takeoff point and the horizontal bar.

[0077]

[0078] This ensures the athlete can clear the bar smoothly. Simultaneously, the thickness h from the hip joint to the edge of the buttocks at the moment of bar clearance... ′ This determines the likelihood of an athlete hitting the crossbar during their clearance posture.

[0079] Therefore, based on the specific athlete's physical condition and the competition history data of similar athletes, θ, η, v0, L, G0, and h are analyzed. ′ ,Γ,v t The parameters are estimated, and then a genetic algorithm is used to solve for θ, η, v0, L, G0, and h. ′ ,Γ,v t This allows us to obtain the optimal combination of techniques for a specific athlete and the highest high jump score they can achieve.

[0080] 4. Specific solution method

[0081] The ultimate goal in high jump competitions is to solve the problem of maximizing height. To facilitate the solution, this invention establishes some assumptions and defines the objective function expression and corresponding constraints, ultimately constructing a nonlinear optimization problem. The optimal solution set is then solved using a genetic algorithm (the specific steps of the genetic algorithm can be found in existing technologies).

[0082] Assumptions and Equivalents: We assume air resistance is negligible; the vertical velocity of the center of mass at the moment of takeoff foot landing is 0; the Fosbury Flop technique is arched; the athlete's hips just clear the bar, so the clearance margin is 0, and therefore H3 = h′ - y重心至髋 Assume that the athlete's cushioning and extension process is considered as a spring compression and release process, i.e., F = kx.

[0083] H4,H2,Y CM The relationship between the three: When the highest point is not directly above the horizontal bar, the actual descent height over the bar is equal to the difference between the height of the center of gravity and the actual height of the center of mass, i.e., H4 = H2 - Y CM Referring to Yang Jinsen's "On the New System of High Jump Technique Principles - 4H System"; when the athlete leaves the ground, the resultant velocity of the center of mass on the horizontal plane is v. t cosθ, and neglecting air resistance, since the center of mass is only subject to gravity, its trajectory is an oblique parabola, and the distance the center of mass moves on the horizontal plane is... The time consumed is When the highest point is not directly above the horizontal bar, the actual height of the center of mass Y is:

[0084]

[0085] Referring to Yang Jinsen's "Polar Coordinate Evaluation Method for Fosbury Flop Technique" regarding the regression equations for the height from the center of gravity to the hip and the shoulder-knee angle for men, and making corresponding modifications, we obtain:

[0086]

[0087] The vertical velocity of the athlete's center of mass at the instant the athlete leaves the ground is v. t When only considering the effect of gravity mg, the highest point reached by the center of mass is the point where the vertical velocity is 0. Therefore, according to the principle of parabolic motion:

[0088]

[0089] According to the principle of conservation of energy:

[0090]

[0091]

[0092] Right now

[0093]

[0094] v1 represents the velocity of the center of mass at the moment the take-off leg touches the ground, and v2 represents the velocity of the center of mass at the moment the take-off leg leaves the ground.

[0095] The work done by the vertical component of the force during the push-off process is:

[0096] By appropriately reducing H0, a downward vertical velocity of the center of mass can be obtained, and a higher H0+H1 can be obtained through the push-off process.

[0097] H4 reflects the utilization rate of H2. If H4 increases, it reflects a lower utilization rate of H2, and thus a lower actual pole clearance height.

[0098] H1, H2, and H4 are determined the instant the athlete takes off and leaves the ground; aerial maneuvers cannot change H2 and H4.

[0099] Factors affecting H4: initial take-off velocity, take-off angle, take-off point, and angle between the center of gravity and the bar.

[0100] Factors affecting H3: Pole crossing technique.

[0101] Factors affecting H2: initial take-off velocity and take-off angle.

[0102] The initial speed of a takeoff is accumulated from various stages: 1. During the approach run, the upward vertical speed is continuously accumulated as the body leans inward and turns vertical during the curved approach run; 2. At the start of the jump, the body's center of gravity rises as it turns from leaning backward to vertical, generating upward vertical speed; 3. During the takeoff, the swing leg fully utilizes the horizontal speed of the approach run to push off forcefully and quickly propel the hip forward and upward to above the support point of the takeoff leg, thus generating upward inertial force, which is the beginning of the conversion of horizontal speed and greatly contributes to the effectiveness of the takeoff; 4. At the time of takeoff, the support, cushioning, and extension of the takeoff leg cause the body to extend upward, generating upward vertical speed; 5. During the swing of the legs and arms, the internal force generated by the muscles of the body parts forms upward vertical speed.

[0103] Factors influencing H0: height h and degree of knee flexion during the buffer phase.

[0104] Model building:

[0105] Objective function: maxH = H0 + H1 + H2 - H3 - H4

[0106] Right now

[0107]

[0108] First constraint:

[0109] The second constraint:

[0110] The third constraint:

[0111] The fourth constraint:

[0112] Based on existing athlete competition data and the calculation formula described above, this invention calculates the ranges of various key characteristic indicators for the Fosbury Flop high jump: Individual characteristic value η: 0.4168≤η≤0.6045; Take-off distance L: 0.61≤L≤1.36; Center of gravity angle over the bar G0: 26.424°≤G0≤46.361°; Horizontal velocity of the center of gravity at the moment of take-off foot landing: 7.80≤v0≤8.20; Shoulder-hip-knee angle Γ:

[0113] Model Solution: In this embodiment, the aforementioned characteristic index ranges are included in the constraints, and a model fit is performed for athlete Wang: H0 = 0.888, H1 = 0.246, H0 + H1 = 1.134m. m = 67 kg

[0114] This embodiment collects high jump competition data of athlete Wang. The original data is a set of three-dimensional coordinates of each joint of athlete Wang at each time point. Therefore, it is necessary to perform corresponding processing to calculate the corresponding feature indicators and compare them with the indicators when the model calculates the optimal performance.

[0115] Solution results and actual results:

[0116] MaxH: 2.45029538430683 (model), 2.33 (actual); θ: 52.107829285° (model), 50.11° (actual); η: 0.485491559022665 (model), 0.45 (actual); v0: 7.97292206324642 ​​(model), 7.64 (actual); L: 1.24594908778808 (model), 1.15 (actual); G0: 43.021° (model), 43.58665069° (actual); h ′ 0.111054218302216 (model), 0.119 (actual); Γ: 40.445 (model), 51.3° (actual); v t 6.6790675828 (model), 6.4556 (actual)

[0117] Athlete Wang's best jump in the competition data was 2.33m, while the model calculated an optimal jump of 2.45m. The increased individual characteristic values ​​and approach speed indicate that athletes need to strengthen their training and improve their physical fitness to improve their high jump performance. The difference in takeoff distance reflects the impact of the athlete's spatial positioning during takeoff on the high jump performance. The increased takeoff angle and takeoff speed indicate that athletes should appropriately increase their takeoff angle during the takeoff phase. This allows for more effective utilization of the energy generated during the approach run, converting it into vertical impulse, increasing takeoff speed, and improving the performance. During the clearance, athletes should appropriately increase the arching amplitude of their body to avoid touching the bar.

[0118] Another embodiment of the present invention provides a Fosbury Flop high jump technique optimization system based on genetic algorithm, comprising:

[0119] The feature index construction module is used to analyze the three stages of the Fosbury Flop high jump: the approach run, the take-off, and the bar clearance.

[0120] The optimization model building module is used to construct an optimization model for the Fosbury Flop technique by utilizing the constructed feature indicators of the Fosbury Flop, with the goal of maximizing the final high jump performance.

[0121] The model solving module is used to obtain the optimal solution based on the constructed Fosbury Flop high jump technique optimization model, using a genetic algorithm to obtain the optimal technique combination and the optimal high jump performance that the high jumper can achieve.

[0122] For the specific implementation process of each module, please refer to the description of the method of the present invention above.

[0123] Another embodiment of the present invention provides a computer device (computer, server, smartphone, etc.) including a memory and a processor, the memory storing a computer program configured to be executed by the processor, the computer program including instructions for performing the steps of the method of the present invention.

[0124] Another embodiment of the present invention provides a computer-readable storage medium (such as ROM / RAM, disk, optical disk) storing a computer program that, when executed by a computer, implements the various steps of the method of the present invention.

[0125] The specific embodiments disclosed above are intended to aid in understanding and implementing the present invention. Those skilled in the art will understand that various substitutions, variations, and modifications are possible without departing from the spirit and scope of the invention. The present invention should not be limited to the contents disclosed in the embodiments of this specification; the scope of protection of the present invention is defined by the claims.

Claims

1. A method for optimizing the Fosbury Flop high jump technique based on a genetic algorithm, characterized in that, Includes the following steps: The Fosbury Flop high jump is analyzed from three stages: the approach run, the take-off, and the bar clearance. Characteristic indicators of Fosbury Flop are constructed. Using the constructed characteristic indicators of the Fosbury Flop high jump, with the goal of maximizing the final high jump performance, a Fosbury Flop high jump technique optimization model is constructed. Based on the constructed Fosbury Flop high jump technique optimization model, the optimal solution is obtained by using a genetic algorithm, thus obtaining the optimal technique combination and the optimal high jump performance that the high jumper can achieve; The characteristic indicators of the Fosbury Flop high jump constructed during the approach run phase include the bar clearance angle. It represents the angle between the direction of the center of gravity trajectory at the final take-off and the horizontal bar; The characteristic indicators of the Fosbury Flop high jump constructed during the take-off phase include: , which represents the horizontal velocity of the center of mass at the instant the take-off foot touches the ground; loss rate It reflects the physical condition and technical level of the high jumper during the braking process, among which This represents the horizontal velocity of the center of mass at the moment of takeoff. Shoulder-hip-knee angle It is the sum of the shoulder joint angle and the knee joint angle; The characteristic indices of the Fosbury Flop high jump constructed during the bar-clearing phase include: Takeoff speed It is the resultant velocity of the center of mass at the instant of takeoff; Takeoff angle It is the angle between the center of mass and the horizontal plane at the instant of takeoff; The take-off distance L is the distance from the take-off point to the horizontal projection of the crossbar. thickness It is the thickness from the hip joint to the edge of the buttock at the moment of passing the pole; The Fosbury Flop high jump technique optimization model is constructed by determining the objective function expression, establishing corresponding constraints, and finally constructing a nonlinear optimization problem, which is then solved using a genetic algorithm. The objective function and the constraints are as follows: Objective function: ; Right now First constraint: ; The second constraint: ; The third constraint: ; The fourth constraint: ; in, For high jump performance; For the final step of the run-up, the swinging leg lands, and the body's center of gravity shifts forward to a vertical position at the height of the body's center of gravity above the ground; The difference between the body's center of gravity and the moment the take-off leg leaves the ground is 1 / 3 minus 1 / 3. The vertical distance; The height at which the center of gravity rises; The instantaneous height of the top of the crossbar is the vertical distance from the crossbar. is the actual descent height over the bar when the highest point is not directly above it; m is the mass of the high jumper. This is the buffer extension coefficient.

2. The method according to claim 1, characterized in that, The included angle of the pole Calculate using the following formula: in, , Let x and y be the horizontal coordinates of the jumper's center of mass when the jumper reaches the highest point. , Let x and y be the horizontal coordinates of the center of mass at the moment of takeoff. The angle formed by the horizontal coordinates of the left and right ends of the crossbar.

3. A Fosbury Flop high jump technique optimization system based on genetic algorithm, characterized in that, The system for performing the method of claim 1 or 2 includes: The feature index construction module is used to analyze the three stages of the Fosbury Flop high jump: the approach run, the take-off, and the bar clearance. The optimization model building module is used to construct an optimization model for the Fosbury Flop technique by utilizing the constructed feature indicators of the Fosbury Flop, with the goal of maximizing the final high jump performance. The model solving module is used to obtain the optimal solution based on the constructed Fosbury Flop high jump technique optimization model, using a genetic algorithm to obtain the optimal technique combination and the optimal high jump performance that the high jumper can achieve.

4. A computer device, characterized in that, It includes a memory and a processor, the memory storing a computer program configured to be executed by the processor, the computer program including instructions for performing the method of claim 1 or 2.

5. A computer-readable storage medium, characterized in that, The computer-readable storage medium stores a computer program that, when executed by a computer, implements the method of claim 1 or 2.

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