Deconvolution using Fourier transform phase, ℓ 1 and ℓ 2 balls, and filtered variation

Onur Yorulmaz, A. Enis Cetin
2018 Digital signal processing (Print)  
ℓ 1 ball Projection onto convex sets a b s t r a c t In this article, we present a deconvolution software based on convex sets constructed from the phase of the Fourier Transform, bounded ℓ 2 energy and ℓ 1 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
more » ... in purpose of this article is to introduce the open source software called projDeconv v2.
doi:10.1016/j.dsp.2017.11.004 fatcat:p7k2all2jzazrmkuwjetfosysy