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Volumn , Issue , 2005, Pages 116-125

Shortest path amidst disc obstacles is computable

Author keywords

Disc obstacles; Exact geometric computation; Exponential complexity; Guaranteed precision computation; Real RAM model; Robust numerical algorithms; Shortest path

Indexed keywords

CALCULATIONS; COMBINATORIAL MATHEMATICS; NUMERICAL ANALYSIS; PROBLEM SOLVING;

EID: 33244462625     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1145/1064092.1064112     Document Type: Conference Paper
Times cited : (19)

References (22)
  • 5
    • 85058202653 scopus 로고    scopus 로고
    • Hypergeometric functions in exact geometric computation
    • V.Brattka, M.Schoeder, and K.Weihrauch, editors Malaga, Spain, July 12-13, 2002
    • Z. Du, M. Eleftheriou, J. Moreira, and C. Yap. Hypergeometric functions in exact geometric computation. In V.Brattka, M.Schoeder, and K.Weihrauch, editors, Proc. 5th Workshop on Computability and Complexity in Analysis, pages 55-66, 2002. Malaga, Spain, July 12-13, 2002.
    • (2002) Proc. 5th Workshop on Computability and Complexity in Analysis , pp. 55-66
    • Du, Z.1    Eleftheriou, M.2    Moreira, J.3    Yap, C.4
  • 9
    • 34247241861 scopus 로고    scopus 로고
    • Number Theory IV: Transcendental Numbers, Springer-Verlag, Berlin. Translated from Russian by N. Koblitz
    • N. Fel'dman and Y. V. Nesterenko. Number Theory IV: Transcendental Numbers, volume 44 of Encycolpaedia of Mathematical Sciences. Springer-Verlag, Berlin, 1998. Translated from Russian by N. Koblitz.
    • (1998) Encycolpaedia of Mathematical Sciences , vol.44
    • Fel'dman, N.1    Nesterenko, Y.V.2
  • 14
    • 27144530203 scopus 로고    scopus 로고
    • Exact computation with leda_real - Theory and geometric application
    • G. Alefeld, J. Rohn, S. Rump, and T. Yamamoto, editors, Vienna. Springer-Verlag
    • K. Mehlhorn and S. Schirra. Exact computation with leda_real - theory and geometric application. In G. Alefeld, J. Rohn, S. Rump, and T. Yamamoto, editors, Symbolic Algebraic Methods and Verification Methods, volume 379, pages 163-172, Vienna, 2001. Springer-Verlag.
    • (2001) Symbolic Algebraic Methods and Verification Methods , vol.379 , pp. 163-172
    • Mehlhorn, K.1    Schirra, S.2
  • 16
    • 33244459175 scopus 로고    scopus 로고
    • Counterexamples to the uniformity conjecture
    • Special Issue on Robust Geometric Algorithms and its Implementations, Eds. C. Yap and S. Pion. To appear
    • D. Richardson and A. El-Sonbaty. Counterexamples to the uniformity conjecture. Comput. Geometry: Theory and Appl., 2004. Special Issue on Robust Geometric Algorithms and its Implementations, Eds. C. Yap and S. Pion. To appear.
    • (2004) Comput. Geometry: Theory and Appl.
    • Richardson, D.1    El-Sonbaty, A.2
  • 17
    • 0001647581 scopus 로고
    • Transcendence measures for exponentials and logarithms
    • M. Waldschmidt. Transcendence measures for exponentials and logarithms. J. Austral. Math. Soc. Ser. A, 25(4):445-465, 1978.
    • (1978) J. Austral. Math. Soc. Ser. A , vol.25 , Issue.4 , pp. 445-465
    • Waldschmidt, M.1
  • 18
    • 0001391060 scopus 로고
    • A lower bound for linear forms in logarithms
    • M. Waldschmidt. A lower bound for linear forms in logarithms. Acta Arith., 37:257-283, 1980.
    • (1980) Acta Arith. , vol.37 , pp. 257-283
    • Waldschmidt, M.1
  • 21
    • 27144482942 scopus 로고    scopus 로고
    • On guaranteed accuracy computation
    • F. Chen and D. Wang, editors, chapter 12. World Scientific Publishing Co., Singapore
    • C. K. Yap. On guaranteed accuracy computation. In F. Chen and D. Wang, editors, Geometric Computation, chapter 12, pages 322-373. World Scientific Publishing Co., Singapore, 2004.
    • (2004) Geometric Computation , pp. 322-373
    • Yap, C.K.1
  • 22
    • 17644369824 scopus 로고    scopus 로고
    • Robust geometric computation
    • J. E. Goodman and J. O'Rourke, editors, chapter 41. Chapmen & Hall/CRC, Boca Raton, FL, 2nd edition. Expanded from 1997 version
    • C. K. Yap. Robust geometric computation. In J. E. Goodman and J. O'Rourke, editors, Handbook of Discrete and Computational Geometry, chapter 41, pages 927-952. Chapmen & Hall/CRC, Boca Raton, FL, 2nd edition, 2004. Expanded from 1997 version.
    • (2004) Handbook of Discrete and Computational Geometry , pp. 927-952
    • Yap, C.K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.