Uniform a priori estimates for discrete solution of nonlinear tensor diffusion equation in image processing

Title:

Uniform a priori estimates for discrete solution of nonlinear tensor diffusion equation in image processing

Creator:

Drblíková, Olga

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:e889b2bb-bfb0-455e-a156-ca15160cd4da
uuid:e889b2bb-bfb0-455e-a156-ca15160cd4da

Subject:

funite volume method, diamond-cell method, image processing, nonlinear parabolic equation, and tensor diffusion

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

This paper concerns with the finite volume scheme for nonlinear tensor diffusion in image processing. First we provide some basic information on this type of diffusion including a construction of its diffusion tensor. Then we derive a semi-implicit scheme with the help of so-called diamond-cell method (see \cite{Coirier1} and \cite{Coirier2}). Further, we prove existence and uniqueness of a discrete solution given by our scheme. The proof is based on a gradient bound in the tangential direction by a gradient in normal direction. Moreover, the proofs of L2(Ω) - a priori estimates for our discrete solution are given. Finally we present our computational results.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

[777]-788

Source:

Kybernetika | 2007 Volume:43 | Number:6

Harvested from:

CDK

Metadata only:

false