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  Boolean Operations on 3D Selective Nef Complexes: Data Structure, Algorithms, and Implementation

Granados, M., Hachenberger, P., Hert, S., Kettner, L., Mehlhorn, K., & Seel, M. (2003). Boolean Operations on 3D Selective Nef Complexes: Data Structure, Algorithms, and Implementation. In Algorithms - ESA 2003: 11th Annual European Symposium (pp. 654-666). Berlin, Germany: Springer.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-000F-2C67-A Version Permalink: https://hdl.handle.net/11858/00-001M-0000-000F-2C6A-4
Genre: Conference Paper

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 Creators:
Granados, Miguel1, 2, Author           
Hachenberger, Peter3, Author           
Hert, Susan3, Author           
Kettner, Lutz3, Author           
Mehlhorn, Kurt3, Author           
Seel, Michael3, Author           
Di Battista, Giuseppe, Editor
Zwick, Uri, Editor
Affiliations:
1Computer Graphics, MPI for Informatics, Max Planck Society, ou_40047              
2International Max Planck Research School, MPI for Informatics, Max Planck Society, ou_1116551              
3Algorithms and Complexity, MPI for Informatics, Max Planck Society, ou_24019              

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 Abstract: We describe a data structure for three-dimensional Nef complexes, algorithms for boolean operations on them, and our implementation of data structure and algorithms. Nef polyhedra were introduced by W. Nef in his seminal 1978 book on polyhedra. They are the closure of half-spaces under boolean operations and can represent non-manifold situations, open and closed boundaries, and mixed dimensional complexes. Our focus lies on the generality of the data structure, the completeness of the algorithms, and the exactness and efficiency of the implementation. In particular, all degeneracies are handled.

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Language(s): eng - English
 Dates: 2004-06-152003
 Publication Status: Issued
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Type: -
 Identifiers: eDoc: 201891
Other: Local-ID: C1256428004B93B8-D0F786CC6723EB72C1256E2F0050063D-ghhkms-bo3ds-03
 Degree: -

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Title: ESA 2003
Place of Event: Budapest, Hungary
Start-/End Date: 2003-09-16 - 2003-09-19

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Title: Algorithms - ESA 2003: 11th Annual European Symposium
Source Genre: Proceedings
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Publ. Info: Berlin, Germany : Springer
Pages: - Volume / Issue: - Sequence Number: - Start / End Page: 654 - 666 Identifier: -

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Title: Lecture Notes in Computer Science
Source Genre: Series
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Pages: - Volume / Issue: 2832 Sequence Number: - Start / End Page: - Identifier: -