Current Trends in Geometric Modeling and Selected Computational Applications

Gerald Farin; Bernd Hamann

doi:10.1006/jcph.1996.5621

Current Trends in Geometric Modeling and Selected Computational Applications

Gerald Farin, Bernd Hamann

Computing and Augmented Intelligence, School of (IAFSE-SCAI)

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

Most numerical simulations require techniques for the representation and manipulation of complex, three-dimensional geometries. This paper provides a short historical survey and an overview of state-of-the-art geometric modeling techniques and research issues, and discusses a few selected applications of geometric modeling in computational areas.

Original language	English (US)
Pages (from-to)	1-15
Number of pages	15
Journal	Journal of Computational Physics
Volume	138
Issue number	1
DOIs	https://doi.org/10.1006/jcph.1996.5621
State	Published - Nov 15 1997

ASJC Scopus subject areas

Numerical Analysis
Modeling and Simulation
Physics and Astronomy (miscellaneous)
General Physics and Astronomy
Computer Science Applications
Computational Mathematics
Applied Mathematics

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10.1006/jcph.1996.5621

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abstract = "Most numerical simulations require techniques for the representation and manipulation of complex, three-dimensional geometries. This paper provides a short historical survey and an overview of state-of-the-art geometric modeling techniques and research issues, and discusses a few selected applications of geometric modeling in computational areas.",

author = "Gerald Farin and Bernd Hamann",

note = "Funding Information: This work was supported by the National Science Foundation under Contract ASC-9210439 (Research Initiation Award) to the University of California, Davis, and Contract DM9123527 to Arizona State University. We are very much obliged to Matthias Eck, Herbert Edelsbrunner, Tony DeRose, Tom Duchamp, Hugues Hoppe, Brian Jean, Michael Lounsbery, Ernst Peter M{\"u}cke, Shigeru Muraki, Werner Stuetzle, and Michael Wagner for giving us permission to use some of their figures from [13, 14, 33, 39, 51].",

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AU - Hamann, Bernd

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Current Trends in Geometric Modeling and Selected Computational Applications

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