A modified Chan–Vese model and its theoretical proof

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 theor...

Celý popis

Uložené v:

Podrobná bibliografia
Vydané v:	Journal of mathematical analysis and applications Ročník 351; číslo 2; s. 627 - 634
Hlavní autori:	Pi, Ling, Peng, Yaxin, Shen, Chunli, Li, Fang
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Amsterdam Elsevier Inc 15.03.2009 Elsevier
Predmet:	Desired object(s) Discrimination function Exact sciences and technology Functional analysis Global analysis, analysis on manifolds Implicit function theorem in Banach space Mathematical analysis Mathematics Partial differential equations Real functions Schauder fixed point theorem Sciences and techniques of general use Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds Viscosity solution Discrimination function Schauder fixed point theorem Implicit function theorem in Banach space Desired object(s) Viscosity solution Viscosity Euler equation Euler Lagrange equation Level set Existence of solution Evolution equation Heat flow Banach space Lagrange equation Equation system Functional Fix point Fixed point theorem Mathematical analysis Implicit function theorem Application
ISSN:	0022-247X, 1096-0813
On-line prístup:	Získať plný text
Tagy:	Pridať tag Žiadne tagy, Buďte prvý, kto otaguje tento záznam!

Popis
Shrnutí:	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.
ISSN:	0022-247X 1096-0813
DOI:	10.1016/j.jmaa.2008.10.050