Stratification Approach for 3-D Euclidean Reconstruction of Nonrigid Objects From Uncalibrated Image Sequences

Abstract--This paper addresses the problem of 3-D reconstruction of nonrigid objects from uncalibrated image sequences. Under the assumption of affine camera and that the nonrigid object is composed of a rigid part and a deformation part, we propose a stratification approach to recover the structure of nonrigid objects by first reconstructing the structure in affine space and then upgrading it to the Euclidean space. The novelty and main features of the method lies in several aspects. First, we propose a deformation weight constraint to the problem and prove the invariability between the recovered structure and shape bases under this constraint. The constraint was not observed by previous studies. Second, we propose a constrained power factorization algorithm to recover the deformation structure in affine space. The algorithm overcomes some limitations of a previous singularvalue-decomposition-based method. It can even work with missing data in the tracking matrix. Third, we propose to...

• Type: Journal
• Year: 2008
• Where: TSMC
• Authors: Guanghui Wang, Q. M. Jonathan Wu
• Keywords: Affine Space, Deformation Weight Constraint, Nonrigid Objects, TSMC 2008