Applications of geometry and topology for quadrilateral meshprocessing and verifiable visualization

Authors:
Cláudio T. Silva
Affiliations:
University of Utah, Salt Lake City, UT, USA
Venue:
Proceedings of the twenty-sixth annual symposium on Computational geometry
Year:
2010

Citing 8
Cited 0

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Point-Based Graphics

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The Need for Verifiable Visualization

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Verifiable Visualization for Isosurface Extraction

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Semi-regular quadrilateral-only remeshing from simplified base domains

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Localized quadrilateral coarsening

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Abstract

Computational geometry, computer graphics, and visualization are closely related ares that have had great synergy over the years. Point-based graphics~\cite{Gross:2007:PBG}, for example, grew out of contributions from all of these different areas. In this talk, we present results that show non-trivial applications of geometric and topological techniques to graphics and visualization. We also discuss how some of our recent work on graphics and visualization can foster further developments in computational geometry. In particular, we advocate the need for work in quad mesh processing, and a greater emphasis on the verification of geometric algorithms and implementations.