TY - JOUR T1 - An Anisotropic Convection-Diffusion Model Using Tailored Finite Point Method for Image Denoising and Compression 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.