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Volumn 99, Issue 2-3, 1999, Pages 99-127

Exact computation of the sign of a finite sum

Author keywords

Exact sums; Geometric computations; Geometric primitives

Indexed keywords


EID: 0040441831     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(98)00010-1     Document Type: Article
Times cited : (17)

References (22)
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    • Edelsbrunner, H.1    Mücke, E.P.2
  • 3
    • 0000155361 scopus 로고
    • The accuracy of floating point summation
    • N.J. Higham, The accuracy of floating point summation, SIAM J. Sci. Comput. 14 (1993) 783-799.
    • (1993) SIAM J. Sci. Comput. , vol.14 , pp. 783-799
    • Higham, N.J.1
  • 4
    • 0029535608 scopus 로고
    • On floating point summation
    • T.O. Espelid, On floating point summation, SIAM Rev. 37 (1995) 603-607.
    • (1995) SIAM Rev. , vol.37 , pp. 603-607
    • Espelid, T.O.1
  • 8
    • 0040133282 scopus 로고
    • Geometric computing environments: Computational geometry meets software engineering
    • R.A. Earnshaw (Ed.), Springer, Berlin
    • A.R. Forrest, Geometric computing environments: Computational geometry meets software engineering, in: R.A. Earnshaw (Ed.), Theoretical foundations of computer graphics and CAD, NATO Advanced Study Institute Series, vol. 40, Springer, Berlin, 1987, pp. 185-197.
    • (1987) Theoretical Foundations of Computer Graphics and CAD, NATO Advanced Study Institute Series , vol.40 , pp. 185-197
    • Forrest, A.R.1
  • 11
    • 0027838095 scopus 로고    scopus 로고
    • Numerical stability of a convex hull algorithm for simple polygon
    • to appear
    • J.W. Jaromczyk, G.W. Wasilkowski, Numerical stability of a convex hull algorithm for simple polygon, Algorithmica (to appear).
    • Algorithmica
    • Jaromczyk, J.W.1    Wasilkowski, G.W.2
  • 13
    • 0010863322 scopus 로고
    • An efficient and numerically correct algorithm for the 2D convex hull problem
    • T.G. Kao, G.D. Knott, An efficient and numerically correct algorithm for the 2D convex hull problem, BIT 30 (1990) 311-331.
    • (1990) BIT , vol.30 , pp. 311-331
    • Kao, T.G.1    Knott, G.D.2
  • 14
    • 0025191490 scopus 로고
    • Efficient delaunay triangulation using rational arithmetic
    • M. Karasick, D. Lieber, L. Nackman, Efficient Delaunay triangulation using rational arithmetic, ACM Trans. Graphics 10 (1991) 71-91.
    • (1991) ACM Trans. Graphics , vol.10 , pp. 71-91
    • Karasick, M.1    Lieber, D.2    Nackman, L.3
  • 16
    • 0024983394 scopus 로고
    • Constructing strongly convex hulls using exact or rounded arithmetic
    • ACM, New York
    • Z. Li, V. Milenkovic, Constructing strongly convex hulls using exact or rounded arithmetic, Proc. 6th Annual Symposium on Computational Geometry, ACM, New York, 1990, pp. 235-243.
    • (1990) Proc. 6th Annual Symposium on Computational Geometry , pp. 235-243
    • Li, Z.1    Milenkovic, V.2
  • 17
    • 0024765832 scopus 로고
    • Double precision geometry: A general technique for calculating line and segment intersections in rounded arithmetic
    • V. Milenkovic, Double precision geometry: A general technique for calculating line and segment intersections in rounded arithmetic, 30th Annual Symposium on Foundations of Computer Science, 1989, pp. 500-505.
    • (1989) 30th Annual Symposium on Foundations of Computer Science , pp. 500-505
    • Milenkovic, V.1
  • 21
    • 0039541801 scopus 로고
    • A simple method for avoiding numerical error and degeneracy in Voronoi diagram construction
    • K. Sugihara, A simple method for avoiding numerical error and degeneracy in Voronoi diagram construction, IEICE Trans. Fundamentals E75-A (1992) 468-477.
    • (1992) IEICE Trans. Fundamentals E75-A , pp. 468-477
    • Sugihara, K.1
  • 22
    • 85034770868 scopus 로고
    • A geometric consistency theorem for a symbolic perturbation theorem
    • ACM, New York
    • C.P. Yap, A geometric consistency theorem for a symbolic perturbation theorem, Proc. 4th Annual Symposium on Computational Geometry, ACM, New York, 1988, pp. 134-142.
    • (1988) Proc. 4th Annual Symposium on Computational Geometry , pp. 134-142
    • Yap, C.P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.