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Volumn 7, Issue 1-2, 1997, Pages 3-23

Towards exact geometric computation

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EID: 0002125694     PISSN: 09257721     EISSN: None     Source Type: Journal    
DOI: 10.1016/0925-7721(95)00040-2     Document Type: Article
Times cited : (115)

References (44)
  • 3
    • 0017950568 scopus 로고
    • A Fortran multiple-precision arithmetic package
    • R.P. Brent, A Fortran multiple-precision arithmetic package, ACM Trans. Math. Software 4 (1978) 57-70.
    • (1978) ACM Trans. Math. Software , vol.4 , pp. 57-70
    • Brent, R.P.1
  • 4
    • 84888229792 scopus 로고
    • Some algebraic and geometric configurations in PSPACE
    • J. Canny, Some algebraic and geometric configurations in PSPACE, in: Proc. 20th ACM Symp. Theory Comput. (1988) 460-467.
    • (1988) Proc. 20th ACM Symp. Theory Comput. , pp. 460-467
    • Canny, J.1
  • 5
    • 0023601193 scopus 로고
    • New lower bound techniques for robot motion planning problems
    • J. Canny and J.H. Reif, New lower bound techniques for robot motion planning problems, IEEE Found. Comput. Sci. 28 (1987) 49-60.
    • (1987) IEEE Found. Comput. Sci. , vol.28 , pp. 49-60
    • Canny, J.1    Reif, J.H.2
  • 6
    • 84995448525 scopus 로고
    • Safe and effective determinant evaluation
    • K.L. Clarkson, Safe and effective determinant evaluation, IEEE Found. Comput. Sci. 33 (1992) 387-395.
    • (1992) IEEE Found. Comput. Sci. , vol.33 , pp. 387-395
    • Clarkson, K.L.1
  • 10
    • 85034762965 scopus 로고
    • Recipes for geometry and numerical analysis, I: An empirical study
    • D. Dobkin and D. Silver, Recipes for geometry and numerical analysis, I: an empirical study, ACM Symp. Comput. Geom. 4 (1988) 93-105.
    • (1988) ACM Symp. Comput. Geom. , vol.4 , pp. 93-105
    • Dobkin, D.1    Silver, D.2
  • 13
    • 85031946402 scopus 로고
    • Simulation of simplicity: A technique to cope with degenerate cases in geometric algorithms
    • H. Edelsbrunner and E.P. Mücke, Simulation of simplicity: a technique to cope with degenerate cases in geometric algorithms, ACM Symp. Comput. Geom. 4 (1988) 118-133.
    • (1988) ACM Symp. Comput. Geom. , vol.4 , pp. 118-133
    • Edelsbrunner, H.1    Mücke, E.P.2
  • 14
    • 0001590086 scopus 로고
    • Overflow, underflow, and severe loss of significance in floating-point addition and subtraction
    • A. Feldstein and P.R. Turner, Overflow, underflow, and severe loss of significance in floating-point addition and subtraction, IMA J. Numer. Anal. 6 (1986) 241-251.
    • (1986) IMA J. Numer. Anal. , vol.6 , pp. 241-251
    • Feldstein, A.1    Turner, P.R.2
  • 15
    • 0002202224 scopus 로고
    • Superexponential complexity of presburger arithmetic
    • R.M. Karp, ed., Proceedings SIAM-AMS Symp. on Applied Mathematics
    • M.J. Fischer and M.O. Rabin, Superexponential complexity of presburger arithmetic, in: R.M. Karp, ed., Complexity of Computations, Vol. 7 (1974), Proceedings SIAM-AMS Symp. on Applied Mathematics.
    • (1974) Complexity of Computations , vol.7
    • Fischer, M.J.1    Rabin, M.O.2
  • 16
    • 0026976787 scopus 로고
    • Numerical stability of algorithms for 2-d Delaunay triangulations and Voronoi diagrams
    • S. Fortune, Numerical stability of algorithms for 2-d Delaunay triangulations and Voronoi diagrams, in: Proc. 8th ACM Symp. Comput. Geom. (1992) 83-92.
    • (1992) Proc. 8th ACM Symp. Comput. Geom. , pp. 83-92
    • Fortune, S.1
  • 17
    • 0039915251 scopus 로고
    • Progress in computational geometry
    • R. Martin, ed., Chapter 3
    • S. Fortune, Progress in Computational Geometry, in: R. Martin, ed., Information Geometers, 1993, Chapter 3, 81-127.
    • (1993) Information Geometers , pp. 81-127
    • Fortune, S.1
  • 18
    • 0027839028 scopus 로고
    • Efficient exact arithmetic for computational geometry
    • S. Fortune and C. van Wyk, Efficient exact arithmetic for computational geometry, ACM Symp. Comput. Geom. 9 (1993) 163-172.
    • (1993) ACM Symp. Comput. Geom. , vol.9 , pp. 163-172
    • Fortune, S.1    Van Wyk, C.2
  • 22
    • 0025191490 scopus 로고
    • Efficient delaunay triangulation using rational arithmetic
    • M. Karasick, D. Lieber and L.R. 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.R.3
  • 24
    • 0025135647 scopus 로고
    • Finding compact coordinate representations for polygons and polyhedra
    • V. Milenkovic and L. Nackman, Finding compact coordinate representations for polygons and polyhedra, ACM Symp. Comput. Geom. 6 (1990) 244-252.
    • (1990) ACM Symp. Comput. Geom. , vol.6 , pp. 244-252
    • Milenkovic, V.1    Nackman, L.2
  • 25
    • 0022076833 scopus 로고
    • An algorithm for shortest-path motion in three dimensions
    • C.H. Papadimitriou, An algorithm for shortest-path motion in three dimensions, Inform. Process. Lett. 20 (1985) 259-263.
    • (1985) Inform. Process. Lett. , vol.20 , pp. 259-263
    • Papadimitriou, C.H.1
  • 30
    • 0347647219 scopus 로고
    • On the piano movers' problem: II. General techniques for computing topological properties of real algebraic manifolds
    • J.T. Schwartz and M. Sharir, On the piano movers' problem: II. General techniques for computing topological properties of real algebraic manifolds, Adv. Appl. Math. 4 (1983) 298-351.
    • (1983) Adv. Appl. Math. , vol.4 , pp. 298-351
    • Schwartz, J.T.1    Sharir, M.2
  • 33
    • 0022663554 scopus 로고
    • On shortest paths in polyhedral spaces
    • M. Sharir and A. Schorr, On shortest paths in polyhedral spaces, SIAM J. Comput. 15 (1986) 193-215.
    • (1986) SIAM J. Comput. , vol.15 , pp. 193-215
    • Sharir, M.1    Schorr, A.2
  • 34
    • 38249024309 scopus 로고
    • Two design principles of geometric algorithms in finite precision arithmetic
    • K. Sugihara and M. Iri, Two design principles of geometric algorithms in finite precision arithmetic, Appl. Math. Lett. 2 (1989) 203-206.
    • (1989) Appl. Math. Lett. , vol.2 , pp. 203-206
    • Sugihara, K.1    Iri, M.2
  • 35
    • 0345937907 scopus 로고
    • Research Memorandum RMI Dept. of Math. Engineering and Instrumentation Physics, Faculty of Engineering, University of Tokyo, September
    • K. Sugihara and M. Iri, Geometric algorithms in finite-precision arithmetic, Research Memorandum RMI 88-10, Dept. of Math. Engineering and Instrumentation Physics, Faculty of Engineering, University of Tokyo, September, 1988; 13th International Symposium on Mathematical Programming, Tokyo (29 August-2 September 1988).
    • (1988) Geometric Algorithms in Finite-precision Arithmetic , pp. 88-110
    • Sugihara, K.1    Iri, M.2
  • 36
    • 30244550585 scopus 로고
    • Tokyo 29 August-2 September
    • K. Sugihara and M. Iri, Geometric algorithms in finite-precision arithmetic, Research Memorandum RMI 88-10, Dept. of Math. Engineering and Instrumentation Physics, Faculty of Engineering, University of Tokyo, September, 1988; 13th International Symposium on Mathematical Programming, Tokyo (29 August-2 September 1988).
    • (1988) 13th International Symposium on Mathematical Programming
  • 38
    • 30244497978 scopus 로고
    • Robust gift-wrapping for the three-dimensional convex hull
    • to appear
    • K. Sugihara, Robust gift-wrapping for the three-dimensional convex hull, J. Comput. System Sci., 1993, to appear.
    • (1993) J. Comput. System Sci.
    • Sugihara, K.1
  • 39
    • 0003439459 scopus 로고    scopus 로고
    • (Princeton University Press, Princeton, NJ), to appear
    • C.K. Yap, Fundamental Problems in Algorithmic Algebra (Princeton University Press, Princeton, NJ), to appear. Available on request from author and from the URL ftp://cs.nyu.edu/pub/local/yap/Algebra.
    • Fundamental Problems in Algorithmic Algebra
    • Yap, C.K.1
  • 40
    • 0025384373 scopus 로고
    • A geometric consistency theorem for a symbolic perturbation scheme
    • C.K. Yap, A geometric consistency theorem for a symbolic perturbation scheme, J. Comput. System Sci. 40(1) (1990) 2-18.
    • (1990) J. Comput. System Sci. , vol.40 , Issue.1 , pp. 2-18
    • Yap, C.K.1
  • 41
    • 85000312610 scopus 로고
    • Symbolic treatment of geometric degeneracies
    • C.K. Yap, Symbolic treatment of geometric degeneracies, J. Symbolic Comput. 10 (1990) 349-370; Proc. International IFIPS Conference on System Modelling and Optimization, Tokyo (1987), Lecture Notes in Control and Information Science 113 348-358.
    • (1990) J. Symbolic Comput. , vol.10 , pp. 349-370
    • Yap, C.K.1
  • 42
    • 85000312610 scopus 로고
    • Proc. International IFIPS Conference on System Modelling and Optimization, Tokyo
    • C.K. Yap, Symbolic treatment of geometric degeneracies, J. Symbolic Comput. 10 (1990) 349-370; Proc. International IFIPS Conference on System Modelling and Optimization, Tokyo (1987), Lecture Notes in Control and Information Science 113 348-358.
    • (1987) Lecture Notes in Control and Information Science , vol.113 , pp. 348-358
  • 43
    • 0005358608 scopus 로고
    • Ph.D. dissertation, Department of Computer Science, Purdue University, West Lafayette, IN 47907, June
    • J. Yu, Exact arithmetic solid modeling, Ph.D. dissertation, Department of Computer Science, Purdue University, West Lafayette, IN 47907, June 1992; Technical Report No. CSD-TR-92-037.
    • (1992) Exact Arithmetic Solid Modeling
    • Yu, J.1
  • 44
    • 30244538624 scopus 로고    scopus 로고
    • Technical Report No. CSD-TR-92-037
    • J. Yu, Exact arithmetic solid modeling, Ph.D. dissertation, Department of Computer Science, Purdue University, West Lafayette, IN 47907, June 1992; Technical Report No. CSD-TR-92-037.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.