, Volume 42, Issue 2, pp 185-197,
Open Access This content is freely available online to anyone, anywhere at any time.
Date: 27 Aug 2009

Image Recovery via Nonlocal Operators

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.

This work was supported by ONR grants N000140810363, N00014-08-1-0414, N00014-06-1-0345, AFOSR FA9550-06-1-0138, UCLA FAU 443948-CH-22916 and the Department of Defense.