Abstract：In order to improve the reconstruction accuracy of the 3D structure of human body, the optimal selection of atoms and the optimization of structure matrix in the process of reconstruction were investigated in this work. On the basis of the sparse representation and low-rank constraint, we proposed anorthogonal matching pursuit and accelerated proximal gradient (OMP-APG) algorithm to provide a wealth information to assist medical doctors to work out the treatment plan quickly and accurately. First of all, the feature matrix was decomposed by singular value decomposition (SVD), and the uniquely determined camera rotation matrix was obtained by LM (Levenberg-Marquardt) algorithm. Secondly, according to the idea of “maximization approximation” in sparse representation, the trajectory basis coefficients were solved by orthogonal matching pursuit algorithm, combined with a predefined trajectory basis to solve the 3D structure of the human body matrix. Finally, considering that the structure matrix was a low rank matrix, the rank optimization problem was transformed into the nuclear norm minimization problem, and the human body structure matrix was further optimized by the accelerated proximal gradient algorithm. The algorithm and sparse approximation algorithms were compared in five motion models including stretch, yoga, pick up, drink and dance in 3D reconstruction with the 3D reconstruction renderings and 3D reconstruction errors. The results showed that the reconstruction accuracy was higher and had better stability. In this algorithm, the reconstruction of drink motion was the best, and the reconstruction error of the 41 feature points of the 1102 frame image sequence was about 0.0303, while the reconstruction error under the sparse algorithm was about 0.0178. In conclusion, the algorithm improved the reconstruction accuracy of the human three-dimensional structure.
汪亚明,翟俊鹏,莫燕,韩永华,蒋明峰. 基于正交匹配追踪及加速近端梯度的人体三维重建[J]. 中国生物医学工程学报, 2017, 36(4): 385-393.
Wang Yaming, Zhai Junpeng, Mo Yan, Han Yonghua, Jiang Mingfeng. 3D Reconstruction of Human Body Based on Orthogonal Matching Pursuit and Accelerated Proximal Gradient. Chinese Journal of Biomedical Engineering, 2017, 36(4): 385-393.
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