Complementary space for enhanced uncertainty and dynamics visualization

Chandrajit Bajaj, Andrew Gillette, Samrat Goswami, Bong June Kwon, Jose Rivera

Research output: Contribution to journalConference articlepeer-review

3 Scopus citations


Many computational modeling pipelines for geometry processing and visualization focus on topologically and geometrically accurate shape reconstruction of “primal” space, meaning the surface of interest and the volume it contains. Certain features of a surface such as pockets, tunnels, and voids (small, closed components) often represent important properties of the model and yet are difficult to detect or visualize in a model of primal space alone. It is natural, then, to consider what information can be gained from a model and visualization of complementary space, i.e. the space exterior to but still “near” the surface in question. In this paper, we show how complementary space can be used as a tool for both uncertainty and dynamics visualizations and analysis.

Original languageEnglish (US)
Pages (from-to)217-228
Number of pages12
JournalMathematics and Visualization
Issue number202489
StatePublished - 2011
Externally publishedYes
Event3rd Workshop on Topological Methods in Data Analysis and Visualization, TopoInVis 2009 - Snowbird, United States
Duration: Feb 23 2009Feb 24 2009

ASJC Scopus subject areas

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

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