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» Geometric Logic in Computer Science
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CAD
2005
Springer
13 years 8 months ago
Geometric algorithms for rapidly reconfigurable mold manufacturing of free-form objects
This paper presents geometric algorithms for developing a re-configurable tooling system for fabrication of freeform objects. The proposed method involves a mold block, with n fac...
Aditya Kelkar, Rakesh Nagi, Bahattin Koc
CSL
2010
Springer
13 years 9 months ago
On the Computability of Region-Based Euclidean Logics
By a Euclidean logic, we understand a formal language whose variables range over subsets of Euclidean space, of some fixed dimension, and whose non-logical primitives have fixed me...
Yavor Nenov, Ian Pratt-Hartmann
ISVD
2007
IEEE
14 years 2 months ago
Computing the 3D Voronoi Diagram Robustly: An Easy Explanation
Many algorithms exist for computing the 3D Voronoi diagram, but in most cases they assume that the input is in general position. Because of the many degeneracies that arise in 3D ...
Hugo Ledoux
DIS
2007
Springer
14 years 17 days ago
Time and Space Efficient Discovery of Maximal Geometric Graphs
A geometric graph is a labeled graph whose vertices are points in the 2D plane with an isomorphism invariant under geometric transformations such as translation, rotation, and scal...
Hiroki Arimura, Takeaki Uno, Shinichi Shimozono
CAD
2008
Springer
13 years 8 months ago
Geometrically exact dynamic splines
In this paper, we propose a complete model handling the physical simulation of deformable 1D objects. We formulate continuous expressions for stretching, bending and twisting ener...
Adrien Theetten, Laurent Grisoni, Claude Andriot, ...