Topology based selection and curation of level sets

Chandrajit Bajaj, Andrew Gillette, Samrat Goswami

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The selection of appropriate level sets for the quantitative visualization of three dimensional imaging or simulation data is a problem that is both fundamental and essential. The selected level set needs to satisfy several topological and geometric constraints to be useful for subsequent quantitative processing and visualization. For an initial selection of an isosurface, guided by contour tree data structures, we detect the topological features by computing stable and unstable manifolds of the critical points of the distance function induced by the isosurface. We further enhance the description of these features by associating geometric attributes with them. We then rank the attributed features and provide a handle to them for curation of the topological anomalies.

Original languageEnglish (US)
Title of host publicationMathematics and Visualization
EditorsHans-Christian Hege, Gerik Scheuermann, Konrad Polthier
PublisherSpringer Heidelberg
Pages45-58
Number of pages14
Edition201859
ISBN (Electronic)9783540886068
ISBN (Print)9783319912738, 9783540250326, 9783540250760, 9783540332749, 9783540886051, 9783540886051, 9783642150135, 9783642216077, 9783642231742, 9783642273421, 9783642341403, 9783642543005
DOIs
StatePublished - 2009
Externally publishedYes
Event2nd International Workshop on Topological Methods in Visualization, 2007 - Leipzig, Germany
Duration: Mar 4 2007Mar 6 2007

Publication series

NameMathematics and Visualization
Number201859
Volume0
ISSN (Print)1612-3786
ISSN (Electronic)2197-666X

Conference

Conference2nd International Workshop on Topological Methods in Visualization, 2007
Country/TerritoryGermany
CityLeipzig
Period3/4/073/6/07

ASJC Scopus subject areas

  • Modeling and Simulation
  • Geometry and Topology
  • Computer Graphics and Computer-Aided Design
  • Applied Mathematics

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