Nonrigid Structure From Motion via Sparse Representation

Abstract—This paper proposes a new approach for non-rigid structure from motion with occlusion, based on sparse representation. We address the occlusion problem based on the latest developments on sparse representation: matrix completion, which can recover the observation matrix that has high percent-ages of missing data and can also reduce the noises and outliers in the known elements. We introduce sparse transform to the joint estimation of 3-D shapes and motions. 3-D shape trajec-tory space is fit by wavelet basis to achieve better modeling of complex motion. Experimental results on datasets without and with occlusion show that our method can better estimate the 3-D shapes and motions, compared with state-of-the-art algorithms. Index Terms—Matrix completion, nonrigid structure from motion (NR-SFM), occlusion, sparse representation, wavelet basis. I