J. Weickert, A review of nonlinear diffusion filtering, B. ter Haar Romeny, L. Florack, J. Koenderink, M. Viergever (Eds.), Scale-Space Theory in Computer Vision, Lecture Notes in Comp. Science, Vol. 1252, Springer, Berlin, 3-28, 1997. Invited paper.
This paper gives an overview of scale-space and image enhancement techniques which are based on parabolic partial differential equations in divergence form. In the nonlinear setting this filter class allows to integrate a-priori knowledge into the evolution. We sketch basic ideas behind the different filter models, discuss their theoretical foundations and scale-space properties, discrete aspects, suitable algorithms, generalizations, and applications.
The full paper is available online as well.
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