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ERIC Number: ED525173
Record Type: Non-Journal
Publication Date: 2009
Pages: 108
Abstractor: As Provided
Reference Count: 0
ISBN: ISBN-978-1-1095-7962-8
ISSN: N/A
Harnessing Sparse and Low-Dimensional Structures for Robust Clustering of Imagery Data
Rao, Shankar Ramamohan
ProQuest LLC, Ph.D. Dissertation, University of Illinois at Urbana-Champaign
We propose a robust framework for clustering data. In practice, data obtained from real measurement devices can be incomplete, corrupted by gross errors, or not correspond to any assumed model. We show that, by properly harnessing the intrinsic low-dimensional structure of the data, these kinds of practical problems can be dealt with in a uniform fashion. In particular, we propose two robust segmentation algorithms: an algebraic method for data from multiple quadratic manifolds, and an information-theoretic approach for data from multiple linear subspaces. Our techniques draw from many diverse areas, including lossy data compression, sparse representation, algebraic geometry, and robust statistics. We verify the efficacy of our algorithms by applying them to the segmentation of tracked image features of objects in a dynamic scene under the affine and perspective camera models, and the segmentation of a natural image into regions with homogeneous texture. We benchmark the performance of our methods on many publicly available notion and imagery datasets. Our results are on par with state-of-the-art results, in many cases exceeding them. Finally, we explore potential extensions and improvements to our techniques as well as new applications. [The dissertation citations contained here are published with the permission of ProQuest LLC. Further reproduction is prohibited without permission. Copies of dissertations may be obtained by Telephone (800) 1-800-521-0600. Web page: http://www.proquest.com/en-US/products/dissertations/individuals.shtml.]
ProQuest LLC. 789 East Eisenhower Parkway, P.O. Box 1346, Ann Arbor, MI 48106. Tel: 800-521-0600; Web site: http://www.proquest.com/en-US/products/dissertations/individuals.shtml
Publication Type: Dissertations/Theses - Doctoral Dissertations
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A