Variational approach for restoring random-valued impulse noise

Authors:
Chen Hu;S. H. Lui
Affiliations:
Department of Mathematics, The Chinese University of Hong Kong, Shatin, NT, Hong Kong;Department of Mathematics, University of Manitoba, Winnipeg, Manitoba, Canada
Venue:
NAA'04 Proceedings of the Third international conference on Numerical Analysis and its Applications
Year:
2004

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Abstract

We present a modified iterative method for removing random-valued impulse noise. This method has two phases. The first phase uses an adaptive center-weighted median filter to identify those pixels which are likely to be corrupted by noise (noise candidates). In the second phase, these noise candidates are restored using a detail-preserving regularization method which allows edges and noise-free pixels to be preserved. This phase is equivalent to solving a one-dimensional nonlinear equation for each noise candidate. We describe a simple secant-like method to solve these equations. It converges faster than Newton's method, requiring fewer function and derivative evaluations.