Share Email Print

Proceedings Paper

Motion segmentation using singular value decomposition
Author(s): Terrance E. Boult; Lisa Gottesfeld Brown
Format Member Price Non-Member Price
PDF $14.40 $18.00
cover GOOD NEWS! Your organization subscribes to the SPIE Digital Library. You may be able to download this paper for free. Check Access

Paper Abstract

This paper presents a method for the segmentation of multiple motions in a scene using the singular value decomposition of a feature track matrix. It is shown that motions can be separated using the right singular vectors associated with the nonzero singular values. This is based on the relationship between the right singular vectors and the principal components of the covariance matrix of the tracks. Furthermore, under general assumptions, the number of numerically nonzero singular values can be used to determine the number of motions. This can be used to derive a relationship between a good segmentation, the number of nonzero singular values in the input and the sum of the number of nonzero singular values in the segments. The approach is demonstrated on real and synthetic examples and a study of the robustness of the method is given. The paper ends with a critical analysis of the approach.

Paper Details

Date Published: 30 April 1992
PDF: 14 pages
Proc. SPIE 1611, Sensor Fusion IV: Control Paradigms and Data Structures, (30 April 1992); doi: 10.1117/12.57937
Show Author Affiliations
Terrance E. Boult, Columbia Univ. (United States)
Lisa Gottesfeld Brown, Columbia Univ. (United States)

Published in SPIE Proceedings Vol. 1611:
Sensor Fusion IV: Control Paradigms and Data Structures
Paul S. Schenker, Editor(s)

© SPIE. Terms of Use
Back to Top