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On a Cahn‐Hilliard model for image segmentation
Author(s) -
Li Lu,
Cherfils Laurence,
Miranville Alain,
Rogeon Philippe,
Guillevin Rémy
Publication year - 2020
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.7146
Subject(s) - uniqueness , mathematics , cahn–hilliard equation , image (mathematics) , infinity , type (biology) , segmentation , mathematical analysis , partial differential equation , computer vision , computer science , ecology , biology
Our aim in this paper is to study the existence and uniqueness of solutions to a Cahn‐Hilliard type model proposed for image segmentation. We also prove the existence of unbounded (as time goes to infinity) solutions and give numerical simulations which illustrate our theoretical results.