2009, English, Article edition: Study of a finite volume scheme for the regularised mean curvature flow level set equation Eymard, Robert; Handlovicova, Angela; Mikula, Karol

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Bookmark: http://trove.nla.gov.au/version/204264
Physical Description
  • text
Published
  • HAL - CCSD
  • 2009
Language
  • English

Edition details

Title
  • Study of a finite volume scheme for the regularised mean curvature flow level set equation
Author
  • Eymard, Robert
  • Handlovicova, Angela
  • Mikula, Karol
Published
  • HAL - CCSD
  • 2009
Physical Description
  • text
Subjects
Notes
  • We propose a new finite volume numerical scheme for the approximation of regularised mean curvature flow level set equations, which ensures the maximum principle, and which is shown to converge to the solution of the problem. The convergence proof uses the monotonicity of the operator, in order to get the strong convergence of the approximation of the gradient. The regularisation of the original level set problem is practically meaningful and not restrictive, especially when dealing with image processing applications. Numerical examples provide indications about the accuracy of the method.
  • HAL:hal-00407573, version 1
  • HAL:http:/​/​hal.archives-ouvertes.fr/​hal-00407573/​en/​
Language
  • English
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