Semi-implicit complementary volume scheme for solving level set like equations in image processing and curve evolution
type: Item
instance of: scholarly article
title: Semi-implicit complementary volume scheme for solving level set like equations in image processing and curve evolution
zbMATH Open document ID: 1065.65105
author: Angela Handlovičová
author: Karol Mikula
author: Fiorella Sgallari
published in: Numerische Mathematik
publication date: 2003-03-27T00:00:00Z
review text: The authors introduce a linear semi-implicit complementarity volume numerical scheme for solving a level-set like nonlinear diffusion equation arising from image processing and curvature evolution problems. The equation is first linearized and by using a finite difference scheme in time \(t\), and the finite volume discretization in space is then applied to the linearized equation. Stability and existence of the generalized solution are proved mathematically. Various numerical examples are also presented to demonstrate the usefulness of the method.
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 94A08
zbMATH DE Number: 1889291
zbMATH Keywords: semi-implicit complementarity volume scheme
zbMATH Keywords: nonlinear degenerate diffusion equations
zbMATH Keywords: image processing
zbMATH Keywords: level set
zbMATH Keywords: mean curvature flow
zbMATH Keywords: finite difference scheme
zbMATH Keywords: stability
zbMATH Keywords: numerical examples
reviewed by: Song Wang
MaRDI profile type: Publication
full work available at URL: s002110100374
OpenAlex ID: W1997820657
DOI: 10.1007/S002110100374
description: scientific article; zbMATH DE number 1889291