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Finite Difference Schemes for MCM and AMSS
Marco Mondelli, Adina Ciomaga
published
2011-09-13
reference
Marco Mondelli, and Adina Ciomaga, Finite Difference Schemes for MCM and AMSS, Image Processing On Line, 1 (2011), pp. 127–177. https://doi.org/10.5201/ipol.2011.cm_fds

Communicated by Antonin Chambolle
Demo edited by Jose-Luis Lisani

Abstract

This article refers to algorithms based on finite difference schemes for computing mean and affine curvature evolutions of digital images, introduced by Alvarez and Morel [L. Alvarez, J.M. Morel, “Formalization and computational aspects of image analysis”, Acta Numerica, pp. 159, 1994]. We discuss consistency, stability and convergence. Our analysis focuses on some possible choices of the parameters, choices that generate multiple variants in the implementations. Meaningful visual examples on how the algorithms actually work are provided.

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  • source codes: TAR/GZ TAR/GZ

Supplementary Materials

History

  • this article was converted to PDF on 2016-12-01.
  • the original version was published on 2011-09-13: manuscript, html version
  • Note from the editor: the manuscript of the article was modified on 2022-01-01 to include information about its editors. The original version of the manuscript is available here.