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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
