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Building Convex Hulls by Combining (2003)  (Make Corrections)  
SAT Solving and Algebric Computing Silvio Ranise LORIA INRIA-Lorraine...



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Abstract: Geometric algorithms (such as those for computing convex hulls) are quite difficult to be implemented correctly and efficiently. This is so because of errors deriving from arithmetic operations or of contradictory results returned by primitives operations. In this abstract, we present a combination of SAT solving and algebric computing to flexibly build parsimonious algorithms, which are both correct and efficient. We also sketch how the proposed technique can be lifted to handle the case ... (Update)

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BibTeX entry:   (Update)

@misc{ and-building,
  author = "Sat Solving And",
  title = "Building Convex Hulls by Combining",
  url = "citeseer.ist.psu.edu/703421.html" }
Citations (may not include all citations):
508   Computational Geometry (context) - Preparata, Shamos - 1985
57   Some Algebraic and Geometric Computations in PSPACE (context) - Canny - 1988
40   Pushing the envelope: Planning (context) - Kautz, Selman - 1996
39   The Problems of Accuracy and Robustness in Geometric Computa.. (context) - Hoffmann - 1989
36   Stable Maintenance of Point Set Triangulations in Two Dimens.. (context) - Fortune - 1989
23   SAT-based procedures for temporal reasoning - Armando, Castellini et al. - 1999
18   Axioms and Hulls (context) - Knuth - 1992
12   The quest for efficient Boolean satisfiability solvers (context) - Zhang, Malik
10   Integrating sat solvers with math reasoners: Foundations and.. - Sebastiani - 2001
2   Journal of Discrete and Computational Geometry (context) - on, of - 1990
1   Automatic SAT-compilation of Protocol Insecurity Problems vi.. (context) - Armando, Compagna - 2002

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