Image Recovery via Nonlocal Operators

Authors:
Yifei Lou;Xiaoqun Zhang;Stanley Osher;Andrea Bertozzi
Affiliations:
Mathematics Department, UCLA, Los Angeles, USA 90095-1555;Mathematics Department, UCLA, Los Angeles, USA 90095-1555;Mathematics Department, UCLA, Los Angeles, USA 90095-1555;Mathematics Department, UCLA, Los Angeles, USA 90095-1555
Venue:
Journal of Scientific Computing
Year:
2010

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Abstract

This paper considers two nonlocal regularizations for image recovery, which exploit the spatial interactions in images. We get superior results using preprocessed data as input for the weighted functionals. Applications discussed include image deconvolution and tomographic reconstruction. The numerical results show our method outperforms some previous ones.