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Efficient exact geometric computation made easy
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Source Annual Symposium on Computational Geometry archive
Proceedings of the fifteenth annual symposium on Computational geometry table of contents
Miami Beach, Florida, United States
Pages: 341 - 350  
Year of Publication: 1999
ISBN:1-58113-068-6
Authors
C. Burnikel  Max-Planck-Institut für Informatik, Im Stadtwald, 66123 Saarbrücken, Germany
R. Fleischer  Max-Planck-Institut für Informatik, Im Stadtwald, 66123 Saarbrücken, Germany
K. Mehlhorn  Max-Planck-Institut für Informatik, Im Stadtwald, 66123 Saarbrücken, Germany
S. Schirra  Max-Planck-Institut für Informatik, Im Stadtwald, 66123 Saarbrücken, Germany
Sponsors
SIGACT: ACM Special Interest Group on Algorithms and Computation Theory
SIGGRAPH: ACM Special Interest Group on Computer Graphics and Interactive Techniques
Publisher
ACM  New York, NY, USA
Bibliometrics
Downloads (6 Weeks): 3,   Downloads (12 Months): 40,   Citation Count: 12
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REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

 
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H." BrSnniman, L. Kettner, S. Schirra, and R. Veltkamp. Applications of the generic programming paradigm in the design of CGAL. Research Report MPI-I-98-1-030, Max-Planck-insitut fiir Informatik, 1998.
 
4
C. Burnikel, R. Fleischer, K. Mehlhorn, and S. Schirra. Companion page to 'Efficient exact geometric computation made easy', http:/www.mpi-sb, mpg. de / "" st s chirr / exact/made _easy.
 
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C. Burnikel, K. Mehlhorn, and S. Schirra. The LEDA class real number. Research Report MPI-I-96-1- 001, Max-Planck-Institut f/ir Informatik, 1996. A more recent documentation of the implementation is available at http://w,m.mpi-sb.mpg.de/'burnikel/ report s/real, ps. gz.
 
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CGAL project, http://m,m.cs.uu.nl/CGAL/.
 
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T. J. Dekker. A floating-point technique for extending the available precision. Numerische Mathematik, 18:224 - 242, 1971.
 
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A. Fabri, G.-J. Giezeman, L. Kettner, S. Schirra, and S. SchSnherr. On the design of CGAL, the computational geometry algorithms library. Research Report MPI-I-98-1-007, Max-Planck-Institut ffir Informatik, 1998.
 
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S. Fortune. Progress in computational geometry. In R. Martin, editor, Directions in Geometric Computing, pages 81 - 128. Information Geometers Ltd., 1993.
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J. Keyser. personal communication.
 
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K. Mehlhorn and S. N#her. The implementation of geometric algorithms. In Proceedings of the 13th IFIP World Computer Congress, volume 1, pages 223- 231. Elsevier Science B.V. North-Holland, Amsterdam, 1994.
 
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K. Mehlhorn, S. N/iher, M. Seel, and C. Uhrig. The LEDA User manual, 3.7 edition, 1998. see http:// www. mpi- sb .mpg. de/LEDA/leda, html.
 
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D. Michelucci. A quadratic non-standard arithmetic. In Prec. 9th Canadian Conf. on Comp. Geom., 1997. http://#, emse. fr/'micheluc/english/ quadrat ique. html.
 
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K. Ouchi. Real/Expr: Implementation of exact computation. Courant Institute, New York University, 1997. Master thesis, h'ctp://cs.nyu.edu/exact/ realexpr.
 
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D. M. Priest. Algorithms for arbitrary precision floating point arithmetic. In l Oth Symposium on Computer Arithmetic, pages 132 - 143. IEEE Computer Society Press, 1991.
 
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A. Rege. APU User Manual - Version 2.0, 1996. http ://www. cs. berkeley, edu/'rege/apu/apu, html.
 
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J. R. Shewchuk. Adaptive precision floating-point arithmetic and fast robust geometric predicates. Discrete and Computational Geometry 18:305-363, 1997.
 
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R. C. Veltkamp. Generic programming in cgal, the computational geometry algorithms library. In Proceedings of the 6th Eurographics Workshop on Programming Paradigms in Graphics, 1997.
 
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C. K. Yap and T. DubS. The exact computation paradigm. In D. Du and F. Hwang, editors, Computing in Euclidean Geometry, pages 452-492. World Scientific Press, 1995. 2nd edition.

CITED BY  12

Collaborative Colleagues:
C. Burnikel: colleagues
R. Fleischer: colleagues
K. Mehlhorn: colleagues
S. Schirra: colleagues