A modified Chan-Vese model and its theoretical proof

Ling Pi; Yaxin Peng; Chunli Shen; Fang Li

doi:10.1016/j.jmaa.2008.10.050

A modified Chan-Vese model and its theoretical proof

Ling Pi^*
, Yaxin Peng
, Chunli Shen
, Fang Li

^*此作品的通讯作者

数学科学学院

科研成果: 期刊稿件 › 文章 › 同行评审

6 引用（Scopus）

摘要

We present a modified Chan-Vese functional and give its theoretical proof. By using the geometric heat flow method to all the Euler-Lagrange equations, a system of evolution equations in level set formulation is derived. We study the existence of solution to this system by Schauder fixed point theorem and the implicit function theorem in Banach space. This variational formulation can detect interior and exterior boundaries of desired object(s) in color images.

源语言	英语
页（从-至）	627-634
页数	8
期刊	Journal of Mathematical Analysis and Applications
卷	351
期	2
DOI	https://doi.org/10.1016/j.jmaa.2008.10.050
出版状态	已出版 - 15 3月 2009

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AU - Peng, Yaxin

AU - Shen, Chunli

AU - Li, Fang

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AB - We present a modified Chan-Vese functional and give its theoretical proof. By using the geometric heat flow method to all the Euler-Lagrange equations, a system of evolution equations in level set formulation is derived. We study the existence of solution to this system by Schauder fixed point theorem and the implicit function theorem in Banach space. This variational formulation can detect interior and exterior boundaries of desired object(s) in color images.

KW - Desired object(s)

KW - Discrimination function

KW - Implicit function theorem in Banach space

KW - Schauder fixed point theorem

KW - Viscosity solution

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ER -

A modified Chan-Vese model and its theoretical proof

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