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

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Title: A stokes flow boundary integral measurement of tubular structure cross sections in two dimensions
Author: Niethammer, Marc ; Pichon, Eric ; Tannenbaum, Allen R. ; Mucha, Peter J.
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.
Description: ©2003 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or distribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE. This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder. DOI: 10.1109/ICIP.2003.1247090 Presented at ICIP-2003 : 2003 International Conference on Image Processing, September 14-17, 2003, Barcelona, Spain.
Type: Proceedings
URI: http://hdl.handle.net/1853/31237
ISSN: 1522-4880
ISBN: 0-7803-7750-8
Citation: Marc Niethammer, Eric Pichon, Allen Tannenbaum, and Peter J. Mucha, "A Stokes flow boundary integral measurement of tubular structure cross sections in two dimensions," International Conference on Image Processing, 2003, I - 825-8.
Date: 2003-09
Contributor: Georgia Institute of Technology. School of Mathematics
Georgia Institute of Technology. School of Electrical and Computer Engineering
Publisher: Georgia Institute of Technology
Institute of Electrical and Electronics Engineers
Subject: Boundary integral equations
Flow
Medical image processing

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