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

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.