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Author, Editor

Author(s):

Theisel, Holger
Rössl, Christian
Seidel, Hans-Peter

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Editor(s):

Dodgson, Neil A.
Floater, Michael S.
Sabin, Malcolm

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Not MPII Editor(s):

Dodgson, Neil A.
Floater, Michael S.
Sabin, Malcom A.

BibTeX cite key*:

trs:tptfv:04

Title, Booktitle

Title*:

Topology Preserving Thinning of Vector Fields on Triangular Meshes


theisel_mingle2003.pdf (2246.93 KB)

Booktitle*:

Advances in Multiresolution for Geometric Modelling

Chapter:


Series:

Mathematics and Visualization

Language:

English

Publisher

Name*:

Springer

URL:

http://www.springer.de/

Address*:

Berlin, Germany

Publication Type:


Vol, No, pp., Year

Volume:


Number:


Edition:


Pages*:

353-366

Month:


VG Wort Pages:

20

ISBN:

3-540-21462-3

Year*:

2004

Abstract, Links, ©

Note:


LaTeX Abstract:

We consider the topology of piecewise linear vector fields whose domain is a piecewise linear 2-manifold, i.e. a triangular mesh. Such vector fields can describe simulated 2-dimensional flows, or they may reflect geometric properties of the underlying mesh. We introduce a thinning technique which preserves the complete topology of the vector field, i.e. the critical points and separatrices. As the theoretical foundation, we have shown in an earlier paper that for local modiØcations of a vector field, it is possible to decide entirely by a local analysis whether or not the global topology is preserved. This result is applied in a number of compression algorithms which are based on a repeated local modification of the vector field, namely a repeated edge-collapse of the underlying piecewise linear domain.

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Download
Access Level:

Public

Correlation

MPG Unit:

Max-Planck-Institut für Informatik



MPG Subunit:

Computer Graphics Group

Appearance:

MPII WWW Server, MPII FTP Server, MPG publications list, university publications list, working group publication list, Fachbeirat, VG Wort
BibTeX Entry:
@INBOOK{trs:tptfv:04,
AUTHOR = {Theisel, Holger and R{\"o}ssl, Christian and Seidel, Hans-Peter},
EDITOR = {Dodgson, Neil A. and Floater, Michael S. and Sabin, Malcolm},
TITLE = {Topology Preserving Thinning of Vector Fields on Triangular Meshes},
BOOKTITLE = {Advances in Multiresolution for Geometric Modelling},
PUBLISHER = {Springer},
YEAR = {2004},
PAGES = {353--366},
SERIES = {Mathematics and Visualization},
ADDRESS = {Berlin, Germany},
ISBN = {3-540-21462-3},
}


Entry last modified by Conny Liegl, 07/01/2009
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Editor(s)
Christian Rössl
Created
04/15/2004 03:43:40 PM
Revisions
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Editor(s)
Conny Liegl
Conny Liegl
Christine Kiesel
Christine Kiesel
Christine Kiesel
Edit Dates
07.01.2008 15:31:28
07.01.2008 15:31:02
24.05.2005 16:09:15
24.05.2005 16:09:07
04.02.2005 11:23:34
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