Authors: Paladini, Marco
Bue, Alessio Del
Stošić, Marko 
Dodig, Marija 
Xavier, João
Agapito, Lourdes
Title: Factorization for Non-Rigid and Articulated Structure using Metric Projections
Journal: 2009 IEEE Computer Society Conference on Computer Vision and Pattern Recognition Workshops, CVPR Workshops 2009
Volume: 2009 IEEE Computer Society Conference on Computer Vision and Pattern Recognition
First page: 2898
Last page: 2905
Conference: IEEE Computer Society Conference on Computer Vision and Pattern Recognition; Miami, FL; United States; 20 June 2009 through 25 June 2009
Issue Date: 1-Jan-2009
ISBN: 978-1-424-43993-5
ISSN: 1063-6919
DOI: 10.1109/CVPRW.2009.5206602
Abstract: 
This paper describes a new algorithm for recovering the 3D shape and motion of deformable and articulated objects purely from uncalibrated 2D image measurements using an iterative factorization approach. Most solutions to nonrigid and articulated structure from motion require metric constraints to be enforced on the motion matrix to solve for the transformation that upgrades the solution to metric space. While in the case of rigid structure the metric upgrade step is simple since the motion constraints are linear, deformability in the shape introduces non-linearities. In this paper we propose an alternating least-squares approach associated with a globally optimal projection step onto the manifold of metric constraints. An important advantage of this new algorithm is its ability to handle missing data which becomes crucial when dealing with real video sequences with self-occlusions. We show successful results of our algorithms on synthetic and real sequences of both deformable and articulated data.
Publisher: IEEE

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