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Subspace analysis of arbitrarily many linear filter responses with an application to face tracking

Zafeiriou, Stefanos; Tzimiropoulos, Georgios; Pantic, Maja

Authors

Stefanos Zafeiriou

Georgios Tzimiropoulos

Maja Pantic



Abstract

Multi-scale/orientation local image analysis methods are valuable tools for obtaining highly distinctive image-based representations. Very often, these features are generated from the responses of a bank of linear filters corresponding to different scales and orientations. Naturally, as the number of filters increases, so does the feature dimensionality. Further processing is often feasible only when dimensionality reduction is performed by subspace learning techniques, such as Principal Component analysis (PCA) or Linear Discriminant Analysis (LDA). The major problem stems from the fact that as the number of features increases, so does the computational complexity of these methods which, in turn, limits the number of scales and orientations examined. In this paper, we show how linear subspace analysis on features generated by the response of linear filter banks can be efficiently re-formulated such that complexity does not depend on the number of filters used. We describe computationally efficient and exact versions of PCA while the extension to other subspace learning algorithms is straightforward. Finally, we show how the proposed methods can boost the performance of algorithms for appearance based tracking.

Citation

Zafeiriou, S., Tzimiropoulos, G., & Pantic, M. (2011). Subspace analysis of arbitrarily many linear filter responses with an application to face tracking.

Conference Name 2011 IEEE Computer Society Conference on Computer Vision and Pattern Recognition Workshops (CBPRW)
End Date Jun 25, 2011
Publication Date Jan 1, 2011
Deposit Date Feb 1, 2016
Publicly Available Date Mar 29, 2024
Peer Reviewed Peer Reviewed
Public URL https://nottingham-repository.worktribe.com/output/1011509
Publisher URL http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=5981738
Additional Information © 2011 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
Published in: 2011 IEEE Computer Society Conference on Computer Vision and Pattern Recognition Workshops (CVPRW) IEEE, 2011, ISBN 9781457705298. doi: 10.1109/CVPRW.2011.5981809

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