Virtual reality is an important realization of intelligent teaching methods, which is of great significance for the reform of public sports courses in colleges and universities. Aiming at the problem of the lack of three-dimensional information representation of the sports human body in virtual reality technology, this paper proposes a representation optimization method based on implicit geometry, which improves the traditional representation by pixel alignment features, voxel alignment features, and the introduction of z-difference. Experiments show that the new representation method has smaller representation errors and higher computational speeds. The table tennis forehand and backhand table tennis scores of the experimental group are higher than those of the control group by 7.8% and 12.5%, and the total score of the match ability reaches 71.05. The interest score is higher than that of the control group by 3.23 points. The positive effects of the new representation and intelligent teaching methods are evident.