Title
Re-thinking non-rigid structure from motion
Abstract
We present a novel approach to non-rigid structure from motion (NRSFM) from an orthographic video sequence, based on a new interpretation of the problem. Existing ap- proaches assume the object shape space is well-modeled by a linear subspace. Our approach only assumes that small neighborhoods of shapes are well-modeled with a linear subspace. This constrains the shapes to belong to a man- ifold of dimensionality equal to the number of degrees of freedom of the object. After showing that the problem is still overconstrained, we present a solution composed of a novel initialization algorithm, followed by a robust exten- sion of the Locally Smooth Manifold Learning algorithm tailored to the NRSFM problem. We finally present some test cases where the linear basis method fails (and is ac- tually not meant to work) while the proposed approach is successful.
Year
DOI
Venue
2008
10.1109/CVPR.2008.4587679
Anchorage, AK
Keywords
Field
DocType
image motion analysis,image sequences,learning (artificial intelligence),video signal processing,linear basis method,linear subspace,locally smooth manifold learning algorithm,nonrigid structure from motion,novel initialization algorithm,object shape space,orthographic video sequence
Structure from motion,Computer vision,Orthographic projection,Computer science,Curse of dimensionality,Linear subspace,Robustness (computer science),Artificial intelligence,Initialization,Nonlinear dimensionality reduction,Manifold
Conference
Volume
Issue
ISSN
2008
1
1063-6919 E-ISBN : 978-1-4244-2243-2
ISBN
Citations 
PageRank 
978-1-4244-2243-2
37
1.29
References 
Authors
21
2
Name
Order
Citations
PageRank
Vincent Rabaud127014.91
Serge J. Belongie2125121010.13