Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4637153 | Applied Mathematics and Computation | 2006 | 10 Pages |
Abstract
In this paper, for the nonlinear diffusion model of image denoising and segmentation, we present two high-order explicit algorithms and a semi-implicit algorithm using algebraic multi-grid method. The unconditional stability of the semi-implicit approximation is given. The numerical results of the above three algorithms are demonstrated with comparison to general explicit algorithm in [Y. Chen, B.C. Vemuri, L. Wang, Image denoising and segmentation via nonlinear diffusion, Comput. Math. Appl. 39 (2000) 131-149] for real noised images. The numerical results show that the implicit algorithm is quicker and sharper than all explicit algorithms.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Zhaoxia Liu, Boling Guo,