Scale-Space and Edge Detection Using Anisotropic Diffusion
IEEE Transactions on Pattern Analysis and Machine Intelligence
Feature-oriented image enhancement using shock filters
SIAM Journal on Numerical Analysis
Biased anisotropic diffusion: a unified regularization and diffusion approach to edge detection
Image and Vision Computing - Special issue on the first ECCV 1990
Image selective smoothing and edge detection by nonlinear diffusion. II
SIAM Journal on Numerical Analysis
Image selective smoothing and edge detection by nonlinear diffusion
SIAM Journal on Numerical Analysis
Nonlinear total variation based noise removal algorithms
Proceedings of the eleventh annual international conference of the Center for Nonlinear Studies on Experimental mathematics : computational issues in nonlinear science: computational issues in nonlinear science
Signal and image restoration using shock filters and anisotropic diffusion
SIAM Journal on Numerical Analysis
Image processing: flows under min/max curvature and mean curvature
Graphical Models and Image Processing
On contraction analysis for non-linear systems
Automatica (Journal of IFAC)
Geometry-Driven Diffusion in Computer Vision
Geometry-Driven Diffusion in Computer Vision
Pseudo-Linear Scale-Space Theory
International Journal of Computer Vision
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In this paper, classical nonlinear diffusion methods of machine vision are revisited in the light of recent results in nonlinear stability analysis. Global exponential convergence rates are quantified, and suggest Specific choices of nonlinearities and image coupling terms. In particular, global stability and exponential convergence can be guaranteed for nonlinear filtering of time-varying images.