关键词: 各向异性扩散, 震动滤波, 扩散张量, 特征向量, 特征根, 彩色图像滤波

Abstract: PDE’s（Partial Differential Equations） is extended to smooth multi-valued images in an anisotropic manner in this paper．Starting from a review of existing anisotropic schemes on diffusion PDE’s，point out the pros and cons of the different equations include the divergence-based PDE and the trace-based PDE．After re-build the eigenvalues and the diffusion tensors，a new tensor-driven diffusion PDE equation witch is proposed，that coupling between anisotropic diffusion and shock filters．Results show that the new model can not only well restrain noise but also enhance edge and keep much more details of images．

Key words: anisotropic smoothing, shock filter, diffusion tensor, eigenvalue, eigenvector, color image filtering