Morse Description and Morphological Encoding of Continuous Data

  title={Morse Description and Morphological Encoding of Continuous Data},
  author={Vicent Caselles and Guillermo Sapiro and Andres Fco. Sol{\'e} and Coloma Ballester},
  journal={Multiscale Modeling & Simulation},
A geometric representation for images is studied in this work. This is based on two complementary geometric structures for the topographic representation of an image. The first one computes a description of the Morse structure, while the second one computes a simplified version of drainage structures. The topographic significance of the Morse and drainage structures of Digital Elevation Maps (DEM) suggests that they can been used as the basis of an efficient encoding scheme. As an application… CONTINUE READING
5 Extracted Citations
57 Extracted References
Similar Papers

Referenced Papers

Publications referenced by this paper.
Showing 1-10 of 57 references

Uniqueness of lipschitz extensions: Minimizing the sup norm of the gradient

  • R. Jensen
  • Arch. Rat. Mech. Anal., 123
  • 1993
Highly Influential
6 Excerpts

The tree of shapes of an image

  • C. Ballester, V. Caselles, P. Monasse
  • ESAIM: Control, Opt. and Calc. of Variations 9
  • 2003
Highly Influential
8 Excerpts

The m-components of level sets of continuous functions in wbv

  • C. Ballester, V. Caselles
  • Publicacions Matemàtiques, 45
  • 2001
Highly Influential
10 Excerpts

Topologie I

  • C. Kuratowski
  • II, Editions J. Gabay
  • 1992
Highly Influential
4 Excerpts

Représentation morphologique d’images numériques et application au recalage

  • P. Monasse
  • PhD thesis, Université de Paris-Dauphine
  • 2000
Highly Influential
4 Excerpts

Similar Papers

Loading similar papers…