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  Interval analysis yields efficient dynamic filters for computational geometry

Brönnimann, H., Burnikel, C., & Pion, S. (1998). Interval analysis yields efficient dynamic filters for computational geometry. In Proceedings of the 14th International Annual ACM Symposium on Computational Geometry (SCG-98) (pp. 165-174). New York, USA: ACM Press.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-000F-37AC-F Version Permalink: https://hdl.handle.net/11858/00-001M-0000-000F-37AD-D
Genre: Conference Paper

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 Creators:
Brönnimann, Hervé, Author
Burnikel, Christoph1, Author           
Pion, Sylvain1, Author           
Affiliations:
1Algorithms and Complexity, MPI for Informatics, Max Planck Society, ou_24019              

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 Abstract: We discuss interval techniques for speeding up the exact evaluation of geometric predicates and describe an efficient implementation of interval arithmetic that is strongly influenced by the rounding modes of the widely used IEEE 754 standard. Using this approach we engineer an efficient floating point filter for the computation of the sign of a determinant that works for arbitrary dimensions. Furthermore we show how to use our interval techniques for exact linear optimization problems of low dimension as they arise in geometric computing. We validate our approach experimentally, comparing it with other static, dynamic and semi-static filters.

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Language(s): eng - English
 Dates: 2010-03-021998
 Publication Status: Issued
 Pages: -
 Publishing info: New York, USA : ACM Press
 Table of Contents: -
 Rev. Type: -
 Identifiers: eDoc: 517996
Other: Local-ID: C1256428004B93B8-D79601E72313C582C1256728004ACB7C-BBP:SCG98
 Degree: -

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Title: Untitled Event
Place of Event: Minneapolis, Minnesota
Start-/End Date: 1998

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Title: Proceedings of the 14th International Annual ACM Symposium on Computational Geometry (SCG-98)
Source Genre: Proceedings
 Creator(s):
Affiliations:
Publ. Info: New York, USA : ACM Press
Pages: - Volume / Issue: - Sequence Number: - Start / End Page: 165 - 174 Identifier: ISBN: 0-89791-973-4