Area-preserving curve-shortening flows: From phase separation to image processing
type: Item
instance of: scholarly article
title: Area-preserving curve-shortening flows: From phase separation to image processing
zbMATH Open document ID: 1021.35129
DOI: 10.4171/IFB/64
author: Riccardo March
author: Italo Capuzzo Dolcetta
author: S. Finzi Vita
published in: Interfaces and Free Boundaries
publication date: 2003-10-20T00:00:00Z
review text: Summary: Some known models in phase separation theory (Hele-Shaw, nonlocal mean curvature motion) and their approximations by means of Cahn-Hilliard and nonlocal Allen-Cahn equations are proposed as a tool to generate planar curve-shortening flows without shrinking. This procedure can be seen as a level set approach to area-preserving geometric flows in the spirit of Sapiro and Tannenbaum, with application to shape recovery. We discuss the theoretical validation of this method and its implementation to problems of shape recovery in computer vision. The results of some numerical experiments on image processing are presented.
Mathematics Subject Classification ID: 35Q72
Mathematics Subject Classification ID: 94A08
Mathematics Subject Classification ID: 76D27
zbMATH DE Number: 1869574
zbMATH Keywords: planar curve evolution
zbMATH Keywords: phase separation theory
zbMATH Keywords: image processing
zbMATH Keywords: Hele-Shaw
zbMATH Keywords: Cahn-Hilliard
zbMATH Keywords: Allen-Cahn
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.4171/ifb/64
OpenAlex ID: W1981632256
description: scientific article; zbMATH DE number 1869574