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A time evolution model for total‐variation based blind deconvolution
Author(s) -
Marquina Antonio
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200700032
Subject(s) - deconvolution , blind deconvolution , kernel (algebra) , signal (programming language) , algorithm , diffusion , nonlinear system , function (biology) , mathematics , scale (ratio) , variation (astronomy) , computer science , mathematical analysis , mathematical optimization , physics , pure mathematics , quantum mechanics , evolutionary biology , biology , astrophysics , thermodynamics , programming language
We propose a time evolution model for total‐variation based blind deconvolution consisting of two evolution equations evolving the signal by means of a nonlinear scale space method and the kernel by using a diffusion equation starting from the zero signal and a delta function respectively. A preliminary numerical test consisting of blind deconvolution of a noiseless blurred image is presented. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)