Topology based selection and curation of level sets

Chandrajit Bajaj, Andrew Gillette, Samrat Goswami

Research output: Contribution to journalArticle

10 Citations (Scopus)

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)
Pages (from-to)45-58
Number of pages14
JournalMathematics and Visualization
Issue number201859
DOIs
StatePublished - 2009
Externally publishedYes

Fingerprint

Isosurface
Level Set
Visualization
Topology
Three-dimensional Imaging
Stable and Unstable Manifolds
Geometric Constraints
Tree Structure
Distance Function
Anomaly
Data structures
Critical point
Data Structures
Attribute
Imaging techniques
Computing
Processing
Simulation

ASJC Scopus subject areas

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

Cite this

Topology based selection and curation of level sets. / Bajaj, Chandrajit; Gillette, Andrew; Goswami, Samrat.

In: Mathematics and Visualization, No. 201859, 2009, p. 45-58.

Research output: Contribution to journalArticle

Bajaj, Chandrajit ; Gillette, Andrew ; Goswami, Samrat. / Topology based selection and curation of level sets. In: Mathematics and Visualization. 2009 ; No. 201859. pp. 45-58.
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