Non-rigid Structure from Motion Based on Movement Continuity

Existing approaches to non-rigid structure from motion assume that the instantaneous 3-D shape of a deformable object is a liner combination of basic shapes, which have to be estimated anew for each video sequence. In this paper we propose a new method which is based on physical continuity of non-rigid motion. In non-rigid motion, the displacement between consecutive frames makes little difference. We define some centroid points and their displacements between each feature point as constraints in objective function. Then we use non-linear optimization method to find motion and structure parameters. Finally, this algorithm is used to reconstruct 3-D structure of a person's face. Experimental results show the feasibility of the proposed method.