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Ali Tavakoli

Ali Tavakoli

Academic rank: Professor
ORCID:
Education: PhD.
ScopusId:
Faculty: Faculty of Mathematical Sciences
Address: University of Mazandaran
Phone: 011-35302449

Research

Title
Modified algorithms for image inpainting in Fourier transform domain
Type
JournalPaper
Keywords
Image inpainting · Fourier transform domain · Least square problem
Year
2018
Journal Computational and Applied Mathematics
DOI
Researchers Ali Tavakoli ، Parisa Mousavi ، Fatemeh Zarmehi

Abstract

One of the aims of 1 image inpainting is recovering an image some of which Fourier transform coefficients are lost. In this area, the algorithm of iterative coupled transform domain (ICT DI ) has been given by Li and Zeng (SIAM J Imaging Sci 9:24–51, 2016). In this paper, we present some modified algorithms of ICT DI and prove their convergence. In fact, we consider the effect of spectrum and phase angle of the Fourier transform, separately. Therefore, in comparison with ICT DI , one more regularization parameter is generated, and hence, we have more degree of freedom, and therefore, in general, we expect a more appropriate solution.