Extensions to total variation denoising
Peter A. Blomgren, Tony Fan-Cheong Chan, Pep Mulet · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 1997
The total variation denoising method, proposed by Rudin, Osher and Fatermi, 92, is a PDE-based algorithm for edge-preserving noise removal. The images resulting from its application are usually piecewise constant, possibly with a staircase effect at smooth transitions and may contain significantly less fine details than the original non-degraded image. In this paper we present some extensions to this technique that aim to improve the above drawbacks, through redefining the total variation functional or the noise constraints.