A Total Variation Model Based on the Strictly Convex Modification for Image DenoisingReport as inadecuate

A Total Variation Model Based on the Strictly Convex Modification for Image Denoising - Download this document for free, or read online. Document in PDF available to download.

Abstract and Applied Analysis - Volume 2014 2014, Article ID 948392, 16 pages -

Research Article

Department of Mathematics, Harbin Institute of Technology, Harbin 150001, China

Department of Mathematics, Egerton University, P.O. Box 536-20115, Egerton, Kenya

Received 18 April 2014; Revised 16 May 2014; Accepted 26 May 2014; Published 18 June 2014

Academic Editor: Adrian Petrusel

Copyright © 2014 Boying Wu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We propose a strictly convex functional in which the regular term consists of the total variation term and an adaptive logarithm based convex modification term. We prove the existence and uniqueness of the minimizer for the proposed variational problem. The existence, uniqueness, and long-time behavior of the solution of the associated evolution system is also established. Finally, we present experimental results to illustrate the effectiveness of the model in noise reduction, and a comparison is made in relation to the more classical methods of the traditional total variation TV, the Perona-Malik PM, and the more recent D-α-PM method. Additional distinction from the other methods is that the parameters, for manual manipulation, in the proposed algorithm are reduced to basically only one.

Author: Boying Wu, Elisha Achieng Ogada, Jiebao Sun, and Zhichang Guo

Source: https://www.hindawi.com/


Related documents