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In this article, an effective approach is proposed for nonrigid structure from motion to deal with the image sequence with a complex deformation. In the proposed method, a three-dimensional (3-D) structure is first divided into multiple local trajectory groups by utilizing the distance weights of the pairwise points. For each local trajectory group, a weak estimator is constructed by means of the kernel shape trajectory approach (KSTA) due to its good performance for complex deformation. In order to improve the estimation accuracy, a feature vector selection algorithm based adaptive rank selection strategy is designed to choose the approximately optimal rank parameter for KSTA. For each 3-D point, the final estimation is derived from the outputs of the weak estimators by solving a sparse optimization problem. The experimental results on several commonly used sequences demonstrate the effectiveness and feasibility of the proposed method.
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Chen et al. (2020) studied this question.
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