Applications of nonlinear diffusion in image processing and computer vision.
Weickert, J. (2001)
Acta Mathematica Universitatis Comenianae. New Series
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Weickert, J. (2001)
Acta Mathematica Universitatis Comenianae. New Series
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Piotr Biler, Grzegorz Karch (2000)
Annales Polonici Mathematici
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We study solutions to a nonlinear parabolic convection-diffusion equation on the half-line with the Neumann condition at x=0. The analysis is based on the properties of self-similar solutions to that problem.
Jochen Denzler, Robert J. McCann (2008)
Annales de l'I.H.P. Analyse non linéaire
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Diewald, U., Preusser, T., Rumpf, M., Strzodka, R. (2001)
Acta Mathematica Universitatis Comenianae. New Series
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Wei-Ming Ni (2004)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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We discuss the stability and instability properties of steady state solutions to single equations, shadow systems, as well as systems. Our basic observation is that the more complicated the pattern are, the more unstable they tend to be.
Nathanaël Enriquez, Jacques Franchi, Yves Le Jan (2001)
Séminaire de probabilités de Strasbourg
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Ball, Frank G., Milne, Robin K., Yeo, Geoffrey F. (2007)
Journal of Applied Mathematics and Decision Sciences
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