Area preserving curve shortening flows: from phase transitions to image processing
نویسندگان
چکیده
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.
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