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An Iteratively Reweighted Norm Algorithm for Minimization of Total Variation Functionals

by admin last modified 2006-12-04 02:10

DDMA Speaker Series - September 14, 2006 - CNLS Conference Room

Paul Rodriguez, LANL/T-7

Total Variation (TV) regularization has become a very popular method for a wide variety of image restoration problems, including denoising and deconvolution. Recently, a number of authors have noted the advantages, including superior performance with certain non-Gaussian noise, of replacing the standard l2 data fidelity term with an l1 norm.

A novel method, the Iterative Reweighted Norm algorithm, is proposed for solving the generalized TV functional, which includes the l2-TV and and l1-TV problems. The proposed method is rather simple but very fexible and computationally efficient.

Results for denoising, deconvolution, and demosaicing will be presented, with time-performance comparisons with other well-known, established algorithms.