English
 
Help Privacy Policy Disclaimer
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT
 
 
DownloadE-Mail
  Topology Preserving Thinning of Vector Fields on Triangular Meshes

Theisel, H., Rössl, C., & Seidel, H.-P. (2004). Topology Preserving Thinning of Vector Fields on Triangular Meshes. In N. A. Dodgson, M. S. Floater, & M. A. Sabin (Eds.), Advances in Multiresolution for Geometric Modelling (pp. 353-366). Berlin, Germany: Springer.

Item is

Files

show Files
hide Files
:
theisel_mingle2003.pdf (Any fulltext), 3MB
 
File Permalink:
-
Name:
theisel_mingle2003.pdf
Description:
-
OA-Status:
Visibility:
Private
MIME-Type / Checksum:
application/pdf
Technical Metadata:
Copyright Date:
-
Copyright Info:
-
License:
-

Locators

show

Creators

show
hide
 Creators:
Theisel, Holger1, Author           
Rössl, Christian1, Author           
Seidel, Hans-Peter1, Author           
Dodgson, Neil A., Editor
Floater, Michael S., Editor
Sabin, Malcom A., Editor
Affiliations:
1Computer Graphics, MPI for Informatics, Max Planck Society, ou_40047              

Content

show
hide
Free keywords: -
 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.

Details

show
hide
Language(s): eng - English
 Dates: 2005-05-242004
 Publication Status: Issued
 Pages: -
 Publishing info: Berlin, Germany : Springer
 Table of Contents: -
 Rev. Type: -
 Identifiers: eDoc: 231898
Other: Local-ID: C125675300671F7B-786D77D58525CD29C1256E77004B68B3-trs:tptfv:04
 Degree: -

Event

show

Legal Case

show

Project information

show

Source 1

show
hide
Title: Advances in Multiresolution for Geometric Modelling
Source Genre: Book
 Creator(s):
Dodgson, Neil A., Editor
Floater, Michael S., Editor
Sabin, Malcom A., Editor
Affiliations:
-
Publ. Info: Berlin, Germany : Springer
Pages: - Volume / Issue: - Sequence Number: - Start / End Page: 353 - 366 Identifier: ISBN: 3-540-21462-3

Source 2

show
hide
Title: Mathematics and Visualization
Source Genre: Series
 Creator(s):
Affiliations:
Publ. Info: -
Pages: - Volume / Issue: - Sequence Number: - Start / End Page: - Identifier: -