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

Italo Capuzzo Dolcetta | Zendy; Stefano Finzi Vita | Zendy; Riccardo March | Zendy

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

Author(s) -

Italo Capuzzo Dolcetta,

Stefano Finzi Vita,

Riccardo March

Publication year - 2002

Publication title -

interfaces and free boundaries mathematical analysis computation and applications

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.964

H-Index - 39

eISSN - 1463-9971

pISSN - 1463-9963

DOI - 10.4171/ifb/64

Subject(s) - curvature , image processing , planar , mean curvature , image (mathematics) , mean curvature flow , motion (physics) , level set (data structures) , mathematics , computer science , geometry , algorithm , artificial intelligence , computer graphics (images)

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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