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MICS
2010
94views more  MICS 2010»
14 years 10 months ago
Arrangements on Parametric Surfaces I: General Framework and Infrastructure
We introduce a framework for the construction, maintenance, and manipulation of arrangements of curves embedded on certain two-dimensional orientable parametric surfaces in three-d...
Eric Berberich, Efi Fogel, Dan Halperin, Kurt Mehl...
JSC
2011
100views more  JSC 2011»
14 years 2 months ago
Toric forms of elliptic curves and their arithmetic
We scan a large class of one-parameter families of elliptic curves for efficient arithmetic. The construction of the class is inspired by toric geometry, which provides a natural ...
Wouter Castryck, Frederik Vercauteren
JCC
2002
67views more  JCC 2002»
14 years 11 months ago
Quasi-degenerate perturbation theory with general multiconfiguration self-consistent field reference functions
: The quasi-degenerate perturbation theory (QDPT) with complete active space (CAS) self-consistent field (SCF) reference functions is extended to the general multiconfiguration (MC...
Haruyuki Nakano, Ryuma Uchiyama, Kimihiko Hirao
CORR
2000
Springer
64views Education» more  CORR 2000»
14 years 11 months ago
On the Development of the Intersection of a Plane with a Polytope
Define a "slice" curve as the intersection of a plane with the surface of a polytope, i.e., a convex polyhedron in three dimensions. We prove that a slice curve develops...
Joseph O'Rourke
SMI
2006
IEEE
138views Image Analysis» more  SMI 2006»
15 years 5 months ago
Curves-on-Surface: A General Shape Comparison Framework
We develop a new surface matching framework to handle surface comparisons based on a novel mathematical analysis of curves on surfaces, and propose a unique signature for any clos...
Xin Li, Ying He 0001, Xianfeng Gu, Hong Qin