Some known models in phase separation theory (Hele-Shaw, nonlocal mean curvature motion) and their approximated phase field models (Cahn–Hilliard, nonlocal Allen-Cahn) are used to generate planar curve evolution without shrinkage, with application to shape recovery. This turns out to be a level set approach to an area preserving geometric flow, in the spirit of Sapiro and Tannenbaum [36]. We discuss the theoretical validation of this method, together with the results of some numerical experiments.

Area-preserving curve-shortening flows: from phase separation to image processing / CAPUZZO DOLCETTA, Italo; FINZI VITA, Stefano; Riccardo, March. - In: INTERFACES AND FREE BOUNDARIES. - ISSN 1463-9963. - 4:(2002), pp. 325-343. [10.4171/ifb/64]

Area-preserving curve-shortening flows: from phase separation to image processing.

CAPUZZO DOLCETTA, Italo;FINZI VITA, Stefano;
2002

Abstract

Some known models in phase separation theory (Hele-Shaw, nonlocal mean curvature motion) and their approximated phase field models (Cahn–Hilliard, nonlocal Allen-Cahn) are used to generate planar curve evolution without shrinkage, with application to shape recovery. This turns out to be a level set approach to an area preserving geometric flow, in the spirit of Sapiro and Tannenbaum [36]. We discuss the theoretical validation of this method, together with the results of some numerical experiments.
2002
01 Pubblicazione su rivista::01a Articolo in rivista
Area-preserving curve-shortening flows: from phase separation to image processing / CAPUZZO DOLCETTA, Italo; FINZI VITA, Stefano; Riccardo, March. - In: INTERFACES AND FREE BOUNDARIES. - ISSN 1463-9963. - 4:(2002), pp. 325-343. [10.4171/ifb/64]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/256393
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