JOURNAL ARTICLE

A factorization method in stereo motion for non-rigid objects

Yu HuangJilin TuThomas S. Huang

Year: 2008 Journal:   Proceedings of the ... IEEE International Conference on Acoustics, Speech, and Signal Processing Vol: 47 Pages: 1065-1068   Publisher: Institute of Electrical and Electronics Engineers

Abstract

In this paper we propose a framework of factorization-based non-rigid shape modeling and tracking in stereo-motion. We construct a measurement matrix with the stereo-motion data captured from a stereo-rig. Organized in a particular way this matrix could be decomposed by Singular Value Decomposition (SVD) into the 3D basis shapes, their configuration weights, rigid motion and camera geometry. Accordingly, the stereo correspondences can be inferred from motion correspondences only requiring that a minimum of 3K point stereo correspondences (where K is the dimension of shape basis space) are created in advance. Basically this framework still keeps the property of rank constraints, meanwhile it owns other advantages such as simpler correspondence and accurate reconstruction even with short image sequences. Results with real data are given to demonstrate its performance.

Keywords:
Computer vision Singular value decomposition Fundamental matrix (linear differential equation) Artificial intelligence Structure from motion Essential matrix Computer science Basis (linear algebra) Motion (physics) Matrix decomposition Epipolar geometry Computer stereo vision Dimension (graph theory) Motion field Property (philosophy) Projection (relational algebra) Stereo camera Mathematics Algorithm Geometry Image (mathematics) Mathematical analysis State-transition matrix Symmetric matrix Pure mathematics

Metrics

2
Cited By
0.00
FWCI (Field Weighted Citation Impact)
20
Refs
0.14
Citation Normalized Percentile
Is in top 1%
Is in top 10%

Citation History

Topics

Advanced Vision and Imaging
Physical Sciences →  Computer Science →  Computer Vision and Pattern Recognition
Optical measurement and interference techniques
Physical Sciences →  Computer Science →  Computer Vision and Pattern Recognition
3D Shape Modeling and Analysis
Physical Sciences →  Engineering →  Computational Mechanics

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