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Abstract: this paper appeared in the Third Symposium on Solid Modeling and Applications [7]. (Update)
Context of citations to this paper: More
.... This has motivated a great deal of research on the subject of robust computational geometry (see, e.g. [4, 11, 10, 18, 26, 27, 30, 35, 33, 38, 47, 53, 56, 20, 29, 31]) Also, efficiency must be evaluated in a finer framework than the conventional big Oh analysis. In...
...and transformations, not decompositions, convex hull, or Minkowski sum. Topology might be unpleasantly altered. Manifold Rounding [11]: Given a manifold representation of a polyhedral solid, round equations of faces. If rounded solid is self intersecting, retain only the...
Cited by: More
The Convex Hull in a New Model of Computation - Edalat, Lieutier, Kashe (Correct)
Shortest Path Geometric Rounding - Milenkovic (2000) (Correct)
Robust Proximity Queries in Implicit Voronoi Diagrams - Liotta, Preparata, Tamassia (1996) (Correct)
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0.7: Robustness issues in geometric algorithms - Fortune (1996) (Correct)
0.6: Static Analysis Yields Efficient Exact Integer Arithmetic.. - Fortune, Van Wyk (1996) (Correct)
0.4: Efficient B-rep Generation of Low Degree Sculptured.. - Keyser, Krishnan.. (1997) (Correct)
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BibTeX entry: (Update)
S. Fortune. Polyhedral modeling with multiprecision integer arithmetic. Computer Aided Design, 1996. to appear. http://citeseer.nj.nec.com/fortune96polyhedral.html More
@misc{ fortune96polyhedral,
author = "S. Fortune",
title = "Polyhedral modeling with multiprecision integer arithmetic",
text = "S. Fortune. Polyhedral modeling with multiprecision integer arithmetic.
Computer Aided Design, 1996. to appear.",
year = "1996",
url = "citeseer.nj.nec.com/fortune96polyhedral.html" }
Citations (may not include all citations):216 Primitives for the manipulation of general subdivisions and .. (context) - Guibas, Stolfi - 1985
118 Simulation of simplicity: a technique to cope with degenerat.. - Edelsbrunner, Mucke - 1990
65 Verifiable implementations of geometric algorithms using fin.. (context) - Milenkovic - 1988
39 Non-standard analysis (context) - Robinson - 1966
38 Geometric and Solid Modeling: an Introduction (context) - Hoffmann - 1989
35 Efficient Delaunay triangulation using rational arithmetic (context) - Karasick, Lieber et al. - 1990
32 The problems of accuracy and robustness in geometric computa.. (context) - Hoffmann - 1989
30 How to compute the Voronoi diagram of line segments: theoret.. (context) - Burnikel, Mehlhorn et al. - 1994
29 Robust set operations on polyhedral solids (context) - Hoffmann, Hopcroft et al. - 1989
25 Numerical stability of algorithms for 2D Delaunay triangulat.. (context) - Fortune - 1995
23 The nature and meaning of perturbations in geometric computi.. (context) - Seidel - 1993
18 Construction of the Voronoi diagram for one million generato.. (context) - Sugihara, Iri - 1989
16 An Algorithmic Theory of Numbers (context) - Lovasz - 1986
15 Error-free boundary evaluation based on a lazy rational arit.. - Benouamer, Michelucci et al.
15 Finding compact coordinate representations for polygons and .. - Milenkovic, Nackman - 1990
14 A solid modeling system free from topological inconsistency (context) - Sugihara, Iri - 1989
11 Practical methods for set operations on polygons using exact.. - Milenkovic - 1995
10 Polyhedral modeling with exact arithmetic (context) - Fortune - 1995
9 Progress in computational geometry (context) - Fortune - 1993
5 Facebased data structure and its application to robust geome.. (context) - Higashi, Torihara et al. - 1995
4 Computing in Euclidean geometry (context) - Yap, Dub'e et al. - 1995
4 a la saisie d (context) - Jaillon, arithm'etique et al. - 1993
1 Robustness in solid modeling -- a tolerance-based (context) - Fang, Bruderlin et al. - 1993
1 Static analysis yields efficient exact integer arithmetic fo.. (context) - Fortune, Van Wyk
1 Efficient exact arithmetic for computational geometry (context) - Fortune, Van Wyk - 1993
1 An introduction to solid modeling (context) - Mantylla - 1988
1 Geometric and product modeling (context) - Heisserman, Woodbury et al. - 1993
Documents on the same site (http://cm.bell-labs.com/cm/cs/who/sjf/pubs.html): More
Topological beam tracing - Fortune (1999) (Correct)
Robustness issues in geometric algorithms - Fortune (1996) (Correct)
Static Analysis Yields Efficient Exact Integer Arithmetic.. - Fortune, Van Wyk (1996) (Correct)
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