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

In this article, we present a deconvolution software based on convex sets constructed from the phase of the Fourier Transform, bounded ℓ2energy and ℓ1energy of a given image. The iterative deconvolution algorithm is based on the method of projections onto convex sets. Another feature of the method i...

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Bibliographic Details
Main Authors: Onur Yorulmaz, A. Enis Cetin
Format: Article
Language:English
Published: Elsevier 2018-07-01
Series:SoftwareX
Online Access:http://www.sciencedirect.com/science/article/pii/S2352711017300651
Description
Summary:In this article, we present a deconvolution software based on convex sets constructed from the phase of the Fourier Transform, bounded ℓ2energy and ℓ1energy 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. Keywords: Deconvolution, Fourier Transform phase, ℓ1ball, Projection onto convex sets
ISSN:2352-7110