A stokes flow boundary integral measurement of tubular structure cross sections in two dimensions

Author

Niethammer, Marc ; Pichon, Eric ; Tannenbaum, Allen ; Mucha, Peter J.

Author_Institution

Sch. of Electr. & Comput. Eng., Georgia Inst. of Technol., Atlanta, GA, USA

Volume

1

fYear

2003

fDate

14-17 Sept. 2003

Abstract

In this paper we will develop a method to determine cross sections of arbitrary two-dimensional tubular structures, which are allowed to branch, by means of a Stokes flow based boundary integral formulation. The measure for the cross sections for a point on the boundary of a given structure will be the path obtained by integrating perpendicularly to the flow lines from one side of the boundary to the other. Special emphasis will be put on the behavior at branching points, the behavior at vortices, and the necessary boundary conditions. The method can be extended to three dimensional problems.

Keywords

boundary integral equations; flow; medical image processing; boundary condition; branching point; cross section measurement; flow line; stokes flow boundary integral formulation; tubular structure; vertice; Alzheimer´s disease; Anatomical structure; Biomedical imaging; Boundary conditions; Fluid flow measurement; Integral equations; Laplace equations; Pathology; Shape; Thickness measurement;

fLanguage

English

Publisher

ieee

Conference_Titel

Image Processing, 2003. ICIP 2003. Proceedings. 2003 International Conference on

ISSN

1522-4880

Print_ISBN

0-7803-7750-8

Type

conf

DOI

10.1109/ICIP.2003.1247090

Filename

1247090