Dept. Math, Hokkaido Univ. EPrints Server

An existence result for a discretized constrained gradient system of total variation flow in color image processing

Preprint Series # 734
Giga, Yoshikazu and Kuroda, Hirotoshi and Yamazaki, Noriaki An existence result for a discretized constrained gradient system of total variation flow in color image processing. (2005);

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Abstract

We consider a discretized gradient system of total variation for a mapping from a domain in ${\Bbb R}^2$ to the unit sphere in ${\Bbb R}^n$. It is shown that there exists at least one time-global solution to this problem in the class of all step functions.

Item Type:Preprint
Uncontrolled Keywords:total variation, constrained gradient system global existence, subdifferential.
Subjects:35-xx PARTIAL DIFFERENTIAL EQUATIONS
ID Code:1020