Anisotropic Diffusion in Image Processing: Methods based on Physics, Statistics and Geometric Curve Evolution

Subhash Kulkarni, Biswa Nath Chatterji · IETE Journal of Research · 2002

Heat diffusion equations in Physics, have yielded promising results in Scale Space vision as well as edge preserved smoothing that are required in image analysis, restoration and segmentation. Here we will be considering, a parabolic class of 2D second order diffusion PDE (partial differential equations) under nonlinear case, which will be used as smoothing filter preserving edge features. We review various methods that have been proposed based on the theory of Physics, Statistical and Geometric Curve Evolution and observe their performance. The thrust is to make an effort in creating awareness on different anisotropic diffusion methods in Digital Image Processing, since it proves to be an efficient early processing tool for Image Analysis. We will also observe a computationally efficient method based on Geometric Curve Evolution proposed by us.

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