Epsilon geometry: Building robust algorithms from imprecise computations

Proceedings of the Annual Symposium on Computational Geometry

Volumn Part F130124, Issue , 1989, Pages 208-217

  Guibas, Leonidas ^a,b   Salesin, David ^a   Stolfi, Jorge ^b  

^a STANFORD UNIVERSITY   (United States)

^b HEWLETT PACKARD COMPANY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL GEOMETRY; ERRORS; INPUT OUTPUT PROGRAMS; NETWORK FUNCTION VIRTUALIZATION;

COMPUTATIONAL ERROR; FINITE-PRECISION ARITHMETIC; GEOMETRIC ALGORITHM; GEOMETRIC DEGENERACIES; GEOMETRIC PRIMITIVES; IMPRECISE COMPUTATION; INTERVAL ARITHMETIC; SEGMENT INTERSECTIONS;

GEOMETRY;

EID: 84935114364     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1145/73833.73863     Document Type: Conference Paper

References (9)

1. Herbert Edelsbrunner and Ernst Peter Miicke, "A technique to cope with degenerate cases in geometric algorithms." Proc. 4th Annual ACM Symp. on Computational Geometry (1988), 118-133
2. Daniel H. Greene and F. Frances Yao, "Finiteresolution computational geometry." Proc. 27th IEEE Symp. on the Foundations of Computer Science (1986), 143-152
3. Christoph M. Hoffman, John E. Hopcroft, and Michael S. Karasick, "Towards implementing robust geometric computations." Proc. 4th Annual ACM Symp. on Computational Geometry (1988), 106-l 17
4. Leo Guibas, Lyle Ramshaw, and Jorge Stolfi, "A kinetic framework for computational geometry." Proc. 24th IEEE Symp. on Foundations of Computer Science (October 1983), 100-111
5. Donald E. Knuth, "The art of computer programming, vol. 2: Seminumerical algorithms" (second edition), section 4.2.2. Addison-Wesley (1981)
6. Victor J. Milenkovic, "Verifiable implementations of geometric algorithms using finite precision arithmetic." International Workshop on Geometric Reasoning (Oxford, England, July 1986)
7. S. P. Mudur and P. A. Koparkar, qnterval methods for processing geometric objects." IEEE Computer Graphics and Applications (February 1984), 7-17
8. [S] Thomas Ottmann, Gerald Thiemt, and Christian Ullrich, "Numerical stability of geometric algorithms." Proc. 3rd Annual ACM Symp. on Computational Geometry (1987), 119-125
9. Chee-Keng Yap, "A geometric consistency theorem for a symbolic perturbation scheme." Proc. 4th Annual ACM Symp. on Computational Geometry (1988), 134-142