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Nonlinear diffusion scale-spaces: From the continuous to the discrete setting

  • Image Enhancement And Restoration, Scale-Space
  • Conference paper
  • First Online:
ICAOS '96

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 219))

Abstract

A survey on continuous, semidiscrete and discrete well-posedness and scale-space results for a class of nonlinear diffusion filters is presented. This class does not require any monotony assumption (comparison principle) and, thus, allows image restoration as well. The theoretical results include existence, uniqueness, continuous dependence on the initial image, maximum-minimum principles, average grey level invariance, smoothing Lyapunov functionals, and convergence to a constant steady state.

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Authors and Affiliations

  1. RWC, Imaging Center Utrecht, Utrecht University Hospital, Heidelberglaan 100, Room E01.334, NL-3584 CX, Utrecht

    Joachim Weickert

Authors
  1. Joachim Weickert
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Editor information

Marie-Odile Berger Rachid Deriche Isabelle Herlin Jérome Jaffré Jean-Michel Morel

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© 1996 Springer-Verlag London Limited

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Weickert, J. (1996). Nonlinear diffusion scale-spaces: From the continuous to the discrete setting. In: Berger, MO., Deriche, R., Herlin, I., Jaffré, J., Morel, JM. (eds) ICAOS '96. Lecture Notes in Control and Information Sciences, vol 219. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-76076-8_123

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  • DOI: https://doi.org/10.1007/3-540-76076-8_123

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-76076-4

  • Online ISBN: 978-3-540-40945-8

  • eBook Packages: Springer Book Archive

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