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» A HOL Theory of Euclidean Space
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IPMI
2005
Springer
14 years 8 months ago
Surface Matching via Currents
Abstract. We present a new method for computing an optimal deformation between two arbitrary surfaces embedded in Euclidean 3-dimensional space. Our main contribution is in buildin...
Marc Vaillant, Joan Glaunes
EUROGP
2007
Springer
171views Optimization» more  EUROGP 2007»
13 years 9 months ago
Geometric Particle Swarm Optimisation
Geometric particle swarm optimization (GPSO) is a recently introduced formal generalization of traditional particle swarm optimization (PSO) that applies naturally to both continu...
Alberto Moraglio, Cecilia Di Chio, Riccardo Poli
DCG
2006
163views more  DCG 2006»
13 years 7 months ago
Isometry-Invariant Valuations on Hyperbolic Space
Abstract. Hyperbolic area is characterized as the unique continuous isometry invariant simple valuation on convex polygons in H2 . We then show that continuous isometry invariant s...
Daniel A. Klain
CIE
2005
Springer
14 years 1 months ago
Abstract Geometrical Computation: Turing-Computing Ability and Undecidability
geometrical computation: Turing-computing ability and undecidability J´erˆome Durand-Lose Laboratoire d’Informatique Fondamentale d’Orl´eans, Universit´e d’Orl´eans, B.P...
Jérôme Durand-Lose
FOCS
2006
IEEE
14 years 1 months ago
Points on Computable Curves
The “analyst’s traveling salesman theorem” of geometric measure theory characterizes those subsets of Euclidean space that are contained in curves of finite length. This re...
Xiaoyang Gu, Jack H. Lutz, Elvira Mayordomo