A modified fixed-point iterative algorithm for image restoration using fourth-order PDE model

Authors:
Ting-Ting Wu;Yu-Fei Yang;Zhi-Feng Pang
Affiliations:
College of Mathematics and Econometrics, Hunan University, Changsha, 410082, China and School of Management Science and Engineering, Nanjing University, Nanjing 210093, China;College of Mathematics and Econometrics, Hunan University, Changsha, 410082, China;College of Mathematics and Information Science, Henan University, Kaifeng, 475004, China
Venue:
Applied Numerical Mathematics
Year:
2012

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Abstract

In this paper, we propose a modified fixed point iterative algorithm to solve the fourth-order PDE model for image restoration problem. Compared with the standard fixed point algorithm, the proposed algorithm needn@?t to compute inverse matrices so that it can speed up the convergence and reduce the roundoff error. Furthermore, we prove the convergence of the proposed algorithm and give some experimental results to illustrate its effectiveness by comparing with the standard fixed point algorithm, the time marching algorithm and the split Bregman algorithm.