Blurring-invariant Riemannian metrics for comparing signals and images

Zhengwu Zhang; Eric Klassen; Anuj Srivastava; Pavan Turaga; Rama Chellappa

doi:10.1109/ICCV.2011.6126442

Blurring-invariant Riemannian metrics for comparing signals and images

Zhengwu Zhang, Eric Klassen, Anuj Srivastava, Pavan Turaga, Rama Chellappa

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

12 Scopus citations

Abstract

We propose a novel Riemannian framework for comparing signals and images in a manner that is invariant to their levels of blur. This framework uses a log-Fourier representation of signals/images in which the set of all possible Gaussian blurs of a signal, i.e. its orbits under semigroup action of Gaussian blur functions, is a straight line. Using a set of Riemannian metrics under which the group actions are by isometries, the orbits are compared via distances between orbits. We demonstrate this framework using a number of experimental results involving 1D signals and 2D images.

Original language	English (US)
Title of host publication	2011 International Conference on Computer Vision, ICCV 2011
Pages	1770-1775
Number of pages	6
DOIs	https://doi.org/10.1109/ICCV.2011.6126442
State	Published - Dec 1 2011
Externally published	Yes
Event	2011 IEEE International Conference on Computer Vision, ICCV 2011 - Barcelona, Spain Duration: Nov 6 2011 → Nov 13 2011

Publication series

Name	Proceedings of the IEEE International Conference on Computer Vision

Other

Other	2011 IEEE International Conference on Computer Vision, ICCV 2011
Country	Spain
City	Barcelona
Period	11/6/11 → 11/13/11

Fingerprint

ASJC Scopus subject areas

Software
Computer Vision and Pattern Recognition

Cite this

Zhang, Z., Klassen, E., Srivastava, A., Turaga, P., & Chellappa, R. (2011). Blurring-invariant Riemannian metrics for comparing signals and images. In 2011 International Conference on Computer Vision, ICCV 2011 (pp. 1770-1775). [6126442] (Proceedings of the IEEE International Conference on Computer Vision). https://doi.org/10.1109/ICCV.2011.6126442

Blurring-invariant Riemannian metrics for comparing signals and images. / Zhang, Zhengwu; Klassen, Eric; Srivastava, Anuj; Turaga, Pavan; Chellappa, Rama.

2011 International Conference on Computer Vision, ICCV 2011. 2011. p. 1770-1775 6126442 (Proceedings of the IEEE International Conference on Computer Vision).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Zhang, Z, Klassen, E, Srivastava, A, Turaga, P & Chellappa, R 2011, Blurring-invariant Riemannian metrics for comparing signals and images. in 2011 International Conference on Computer Vision, ICCV 2011., 6126442, Proceedings of the IEEE International Conference on Computer Vision, pp. 1770-1775, 2011 IEEE International Conference on Computer Vision, ICCV 2011, Barcelona, Spain, 11/6/11. https://doi.org/10.1109/ICCV.2011.6126442

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Access to Document

10.1109/ICCV.2011.6126442