Finite volume schemes for the generalized subjective surface equation in image segmentation

Title:

Finite volume schemes for the generalized subjective surface equation in image segmentation

Creator:

Mikula, Karol and Remešíková, Mariana

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:6c46186d-1dc9-427f-ab97-7bed840bda54
uuid:6c46186d-1dc9-427f-ab97-7bed840bda54

Subject:

image segmentation, finite volume method, and flux-based level set method

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

In this paper, we describe an efficient method for 3D image segmentation. The method uses a PDE model - the so called generalized subjective surface equation which is an equation of advection-diffusion type. The main goal is to develop an efficient and stable numerical method for solving this problem. The numerical solution is based on semi-implicit time discretization and flux-based level set finite volume space discretization. The space discretization is discussed in details and we introduce three possible alternatives of the so called diamond cell finite volume scheme for this type of 3D nonlinear diffusion equation. We test the performance of the method and all its variants introduced in the paper by determining the experimental order of convergence. Finally we show a couple of practical applications of the method.

Language:

English

Rights:

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

Coverage:

[646]-656

Source:

Kybernetika | 2009 Volume:45 | Number:4

Harvested from:

CDK

Metadata only:

false