Finite Difference Schemes for MCM and AMSS
Marco Mondelli, Adina Ciomaga
→ BibTeX
    title   = {{Finite Difference Schemes for MCM and AMSS}},
    author  = {Mondelli, Marco and Ciomaga, Adina},
    journal = {{Image Processing On Line}},
    volume  = {1},
    pages   = {127--177},
    year    = {2011},
    doi     = {10.5201/ipol.2011.cm_fds},
% if your bibliography style doesn't support doi fields:
    note    = {\url{}}
Marco Mondelli, and Adina Ciomaga, Finite Difference Schemes for MCM and AMSS, Image Processing On Line, 1 (2011), pp. 127–177.

Communicated by Antonin Chambolle
Demo edited by Jose-Luis Lisani


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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