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Article Dans Une Revue Archive for Rational Mechanics and Analysis Année : 1996

Conformal curvature flows: From phase transitions to active vision

Satyanad Kichenassamy
Arun Kumar
  • Fonction : Auteur
Allen Tannenbaum
  • Fonction : Auteur
Anthony Yezzi
  • Fonction : Auteur

Résumé

We analyze geometric active contour models from a curve evolution point of view and propose some modifications based on gradient flows relative to a certain new feature-based Riemannian metric. This leads to a novel edge-detection paradigm in which the feature of interest may be assumed to lie at the bottom of a potential well. Thus, an edge-seeking curve is attracted very naturally and efficiently to the desired feature. Comparison with the Allen-Cahn model clarifies some of the choices made in these models, and suggests inhomogeneous models which may in return be useful in phase transitions. We also consider some 3-D active surface models based on these ideas. The justification of this model rests on the careful study of the viscosity solutions of evolution equations derived from a level-set approach.

Dates et versions

hal-00002650 , version 1 (20-08-2004)

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Citer

Satyanad Kichenassamy, Arun Kumar, Peter Olver, Allen Tannenbaum, Anthony Yezzi. Conformal curvature flows: From phase transitions to active vision. Archive for Rational Mechanics and Analysis, 1996, 134, pp.275-301. ⟨10.1007/BF00379537⟩. ⟨hal-00002650⟩

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