Image feature enhancement based on the time-controlled total variation flow formulation
Pattern Recognition Letters
Stabilised nonlinear inverse diffusion for approximating hyperbolic PDEs
Scale-Space'05 Proceedings of the 5th international conference on Scale Space and PDE Methods in Computer Vision
Novel schemes for hyperbolic PDEs using osmosis filters from visual computing
SSVM'11 Proceedings of the Third international conference on Scale Space and Variational Methods in Computer Vision
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We employ a nonlinear anisotropic diffusion operator like the ones used as a means of filtering and edge enhancement in image processing and in numerical methods for conservation laws. It turns out that algorithms currently used in image processing are very well suited for the design of nonlinear higher order dissipative terms. In particular, we stabilize the well-known Lax--Wendroff formula by means of a nonlinear diffusion term.