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» Proof and Computation in Geometry
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CADE
1998
Springer
15 years 3 months ago
A Combination of Nonstandard Analysis and Geometry Theorem Proving, with Application to Newton's Principia
Abstract. The theorem prover Isabelle is used to formalise and reproduce some of the styles of reasoning used by Newton in his Principia. The Principia's reasoning is resolute...
Jacques D. Fleuriot, Lawrence C. Paulson
SIGGRAPH
2009
ACM
15 years 5 months ago
Computational geometry algorithms library
Pierre Alliez, Andreas Fabri
77
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SPAA
1992
ACM
15 years 3 months ago
Separator Based Parallel Divide and Conquer in Computational Geometry
An O(log n) time, n processor randomized algorithm for computing the k-nearest neighbor graph of n points in d dimensions, for fixed d and k is presented. The method is based on t...
Alan M. Frieze, Gary L. Miller, Shang-Hua Teng
MVA
1990
114views Computer Vision» more  MVA 1990»
15 years 5 days ago
Camera Calibration by Computational Projective Geometry
A schcmc of camera calibration is proposed. The focal length and the orientations of the scenc coordinatc axes are computcd by dctecting the vanishing points of two sets of lincs ...
Kenichi Kanatani, Yasuhiro Onodera