Bounds for the Condition Numbers of Spatially-variant Convolution Matrices in Image Restoration Problems

Stanley H. Chan; Ankit K. Jain; Truong Q. Nguyen; Edmund Y. Lam

doi:10.1364/SRS.2011.SMA4

Imaging and Applied Optics
OSA Technical Digest (CD) (Optica Publishing Group, 2011),
paper SMA4
•https://doi.org/10.1364/SRS.2011.SMA4

Bounds for the Condition Numbers of Spatially-variant Convolution Matrices in Image Restoration Problems

Stanley H. Chan, Ankit K. Jain, Truong Q. Nguyen, and Edmund Y. Lam

Signal Recovery and Synthesis 2011

Toronto Canada
10–14 July 2011
ISBN: 978-1-55752-914-5

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Optical System Design, Analysis & Optimization (SMA)

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S. H. Chan, A. K. Jain, T. Q. Nguyen, and E. Y. Lam, "Bounds for the Condition Numbers of Spatially-variant Convolution Matrices in Image Restoration Problems," in Imaging and Applied Optics, OSA Technical Digest (CD) (Optica Publishing Group, 2011), paper SMA4.

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Abstract

This paper presents theoretical results on the condition numbers of spatially variant convolution matrices. We show that they are bounded by the condition numbers of its circulant components.

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