Objective. To construct the graph theory model and grey correlation model of table tennis mixed doubles technology and tactics so as to provide a new research method for the analysis of table tennis mixed doubles technology and tactics. The method of graphic theory and video observation is used to study the top tactical indicators of the game, and the method of graphic theory and video observation is used to analyze the tactical data of men and women, which has a certain contribution to the world level of table tennis. The grey correlation analysis can be better applied to the technical and tactical analysis of table tennis mixed doubles. The analysis of the contribution rate of men and women in eight rounds shows that there is little difference in the net average score between male and female athletes, and female athletes are slightly higher than male athletes. The net average score of the serving round is much higher than that of the receiving round, which shows that the serving round has certain advantages for the server, and the winner is often better able to grasp the opportunity of the serving round and get higher scores. Male athletes should strengthen physical training and adapt to a higher level of confrontation.

The purpose of this paper is to help college students improve their physical health and build a sound health management system. The physical exercise and health management of college students following IoT (Internet of Things) are studied. First, the current situation of college students’ physical quality is analyzed, and it is found that the college students’ physical quality and mental states decline in recent years. Second, the connotation of health management is briefly introduced and its necessity is analyzed. Health management cannot only improve the physical condition of students but also cultivate students’ strong will. Then, the application and characteristics of IoT are described, and the framework of physical exercise is designed based on IoT. Finally, a questionnaire survey is designed, and the survey results are compared and analyzed. According to the statistical results of the intervention group and the control group before and after the intervention, it is found that physical exercise has a significant effect on improving the physical and mental states of college students. The average scores of each dimension of physical states after the intervention are higher than those before the intervention, and the scores of each symptom in mental illnesses are lower than those before the intervention. This shows that the main method of health management based on physical exercise has a very obvious positive effect, which helps college students to improve their physical and mental states and cultivate their good habit of taking exercise.

The sports industry is an emerging industry with broad development prospects, and it is also full of competition. The sports industry has the characteristics of fluctuation, intermittence, and randomness, which are suitable for the analysis of chaos theory in order to find out the internal development law of the sports industry. In order to solve the above problems, an improved chaos theory method is proposed in this paper and the K-cluster analysis method is integrated into chaos calculation, in order to reduce the occurrence rate of the “local extreme value” and improve the accuracy of calculation results. The model uses nonlinear and irregular chaos theory to analyze the aggregation degree of sports industry, industrial spatial distribution, and the spatial governance effect and find out the best optimization decision. When selecting the optimization indicators, not only the European distance of each indicator cluster but also the spatial correlation of the indicators are considered to realize the comprehensive analysis of the sports industry and improve the accuracy of optimization. In the simulation analysis of optimization decision-making, the decision-making model based on chaos theory is compared with the previous first-order decision-making model. The results show that the improved chaos theory can control the data aggregation range of sports industry between (0∼3), the data fusion degree of industrial space between 95 and 99%, and the variation range between 0 and 0.2%, which is significantly better than (0∼9), 90∼95%, and 0∼0.4% of the genetic algorithm. Therefore, the aggregation degree, spatial governance, and decision optimization of the optimization decision-making model proposed in this paper are better than those of the previous genetic algorithm.

Human pose estimation is an important task in physical education, which can provide a valuable reference for teachers and students. We propose a human pose estimation method based on part affinity field. Firstly, the correlation of position information and orientation information between limb regions is maintained by part affinity field. Then the key points of limb pose are localized by part confidence map, and finally, the part affinity field is integrated to correlate all the acquired feature key points to obtain the human pose estimation. With the aid of computer vision technology, the students’ training movements can be compared with the standard movements. It enables the students to feel the standard movements and badminton hitting points more intuitively. In the experiment, we set up a comparison experiment to compare the teaching mode of the method in this paper with the traditional teaching mode. The experimental results prove that through the teaching mode of our method, students have more standard strokes, more smooth skill switching between badminton serves and strokes, and higher badminton stroke scores. At the same time, such a teaching system adds a lot of fun to the course and makes the students’ participation higher.