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Volumn 3221, Issue , 2004, Pages 702-713

Classroom examples of robustness problems in geometric computations

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATION THEORY; COMPUTATIONAL GEOMETRY; DIGITAL ARITHMETIC; GEOMETRY; TEACHING;

EID: 35048841152     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-540-30140-0_62     Document Type: Article
Times cited : (36)

References (16)
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  • 4
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    • Numerical stability of algorithms for line arrangements
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    • [FM91] S. Fortune and V.J. Milenkovic. Numerical stability of algorithms for line arrangements. In SoCG'91, pages 334-341. ACM Press, 1991.
    • (1991) SoCG'91 , pp. 334-341
    • Fortune, S.1    Milenkovic, V.J.2
  • 6
    • 0026122066 scopus 로고
    • What every computer scientist should know about floating-point arithmetic
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    • [Gol90] D. Goldberg. What every computer scientist should know about floating-point arithmetic. ACM Computing Surveys, 23(1):5-48, 1990.
    • (1990) ACM Computing Surveys , vol.23 , Issue.1 , pp. 5-48
    • Goldberg, D.1
  • 7
    • 49649136358 scopus 로고
    • An efficient algorithm for determining the convex hulls of a finite point set
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    • [Gra72] R.L. Graham. An efficient algorithm for determining the convex hulls of a finite point set. Information Processing Letters, 1:132-133, 1972.
    • (1972) Information Processing Letters , vol.1 , pp. 132-133
    • Graham, R.L.1
  • 8
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    • A perturbation scheme for spherical arrangements with application to molecular modeling
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    • [HS98] D. Halperin and C. R. Shelton. A perturbation scheme for spherical arrangements with application to molecular modeling. Comp. Geom.: Theory and Applications, 10, 1998.
    • (1998) Comp. Geom.: Theory and Applications , vol.10
    • Halperin, D.1    Shelton, C.R.2
  • 9
    • 0026369598 scopus 로고
    • Computing correct Delaunay triangulations
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    • [JRZ91] M. Jünger, G. Reinelt, and D. Zepf. Computing correct Delaunay triangulations. Computing, 47:43-49, 1991.
    • (1991) Computing , vol.47 , pp. 43-49
    • Jünger, M.1    Reinelt, G.2    Zepf, D.3
  • 10
    • 0025191490 scopus 로고
    • Efficient Delaunay triangulation using rational arithmetic
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    • [KLN91] M. Karasick, D. Lieber, and L.R. Nackman. Efficient Delaunay triangulation using rational arithmetic. ACM Transactions on Graphics, 10(1):71-91, January 1991.
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    • Karasick, M.1    Lieber, D.2    Nackman, L.R.3
  • 11
    • 0024983394 scopus 로고
    • Constructing strongly convex hulls using exact or rounded arithmetic
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    • Li, Z.1    Milenkovic, V.J.2
  • 12
    • 84910944214 scopus 로고
    • Calculating approximate curve arrangements using rounded arithmetic
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    • [Mil89] V.J. Milenkovic. Calculating approximate curve arrangements using rounded arithmetic. In SoCG'89, pages 197-207. ACM Press, 1989.
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  • 14
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    • Adaptive precision floating-point arithmetic and fast robust geometric predicates
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  • 15
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    • Topology-oriented implementation - An approach to robust geometric algorithms
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  • 16
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    • Robust geometric computation
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.