Deconvolution using Fourier transform phase, ℓ1 and ℓ2 balls, and filtered variation

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2020-06-01
Date
2018
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Source Title
Digital Signal Processing: A Review Journal
Print ISSN
1051-2004
Electronic ISSN
1095-4333
Publisher
Elsevier
Volume
77
Issue
Pages
36 - 42
Language
English
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Abstract

In this article, we present a deconvolution software based on convex sets constructed from the phase of the Fourier Transform, bounded ℓ2 energy and ℓ1 energy of a given image. The iterative deconvolution algorithm is based on the method of projections onto convex sets. Another feature of the method is that it can incorporate an approximate total variation bound called filtered variation bound on the iterative deconvolution algorithm. The main purpose of this article is to introduce the open source software called projDeconv v2.

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