2009•Computer Engineering and Applications JournalRequires access

Complex algorithm for color image smoothing based on anisotropic diffusion

Guohua Geng

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Abstract

PDE's(Partial Differential Equations) is extended to smooth multi-valued images in an anisotropic manner in this pa-per.Starting from a review of existing anisotropic schemes on diffusion PDE's,point out the pros and cons of the different equa-tions 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.

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What this paper is about

PDE's(Partial Differential Equations) is extended to smooth multi-valued images in an anisotropic manner in this pa-per.Starting from a review of existing anisotropic schemes on diffusion PDE's,point out the pros and cons of the different equa-tions 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.

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Available abstract

PDE's(Partial Differential Equations) is extended to smooth multi-valued images in an anisotropic manner in this pa-per.Starting from a review of existing anisotropic schemes on diffusion PDE's,point out the pros and cons of the different equa-tions 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 concepts: Anisotropic diffusion, Smoothing, Partial differential equation, Diffusion, Diffusion MRI, Edge-preserving smoothing, Diffusion equation, Anisotropy

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