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Volume 19, Issue 5
An Anisotropic Convection-Diffusion Model Using Tailored Finite Point Method for Image Denoising and Compression

Yu-Tuan Lin, Yin-Tzer Shih & Chih-Ching Tsai

DOI: 10.4208/cicp.scpde14.30s

Commun. Comput. Phys., 19 (2016), pp. 1357-1374.

Published online: 2018-04

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  • 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.

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@Article{CiCP-19-1357, author = {Yu-Tuan Lin, Yin-Tzer Shih and Chih-Ching Tsai}, title = {An Anisotropic Convection-Diffusion Model Using Tailored Finite Point Method for Image Denoising and Compression}, journal = {Communications in Computational Physics}, year = {2018}, volume = {19}, number = {5}, pages = {1357--1374}, 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.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.scpde14.30s}, url = {http://global-sci.org/intro/article_detail/cicp/11133.html} }
TY - JOUR T1 - An Anisotropic Convection-Diffusion Model Using Tailored Finite Point Method for Image Denoising and Compression AU - Yu-Tuan Lin, Yin-Tzer Shih & Chih-Ching Tsai JO - Communications in Computational Physics VL - 5 SP - 1357 EP - 1374 PY - 2018 DA - 2018/04 SN - 19 DO - http://doi.org/10.4208/cicp.scpde14.30s UR - https://global-sci.org/intro/article_detail/cicp/11133.html KW - AB -

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.

Yu-Tuan Lin, Yin-Tzer Shih and Chih-Ching Tsai. (2018). An Anisotropic Convection-Diffusion Model Using Tailored Finite Point Method for Image Denoising and Compression. Communications in Computational Physics. 19 (5). 1357-1374. doi:10.4208/cicp.scpde14.30s
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