An Anisotropic Convection-Diffusion Model Using Tailored Finite Point Method for Image Denoising and Compression. (17th May 2016)

• Record Type: Journal Article
• Authors: Lin, Yu-Tuan; Shih, Yin-Tzer; Tsai, Chih-Ching
• Is Part Of: Communications in computational physics. Volume 19:Number 5(2016:May)
• Page Start: 1357
• Page End: 1374
• Publication Date: 2016-05-17
• Subjects: 65M50, -- 65M75, -- 68U10, -- 94A08; Perona-Malik filter, -- image denoising, -- convection-diffusion, -- tailored finite point method, -- singular perturbation problem, -- adaptive grid; Mathematical physics -- Data processing -- Periodicals; Physics -- Data processing -- Periodicals; 530.150285
• DOI: 10.4208/cicp.scpde14.30s
• Languages: English
• ISSNs: 1815-2406

Abstract

Abstract: In this paper we consider an anisotropic convection-diffusion (ACD) filter for image denoising and compression simultaneously. The ACD filter is discretized by a tailored finite point method (TFPM), which can tailor some particular properties of the image in an irregular grid structure. A quadtree structure is implemented for the storage in multi-levels for the compression. We compare the performance of the proposed scheme with several well-known filters. The numerical results show that the proposed method is effective for removing a mixture of white Gaussian and salt-and-pepper noises.