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FOCM
2002
108views more  FOCM 2002»
13 years 7 months ago
Geometric Integration Algorithms on Homogeneous Manifolds
Given an ordinary differential equation on a homogeneous manifold, one can construct a "geometric integrator" by determining a compatible ordinary differential equation ...
Debra Lewis, Peter J. Olver
FOCS
2009
IEEE
14 years 2 months ago
Instance-Optimal Geometric Algorithms
We prove the existence of an algorithm A for computing 2-d or 3-d convex hulls that is optimal for every point set in the following sense: for every set S of n points and for ever...
Peyman Afshani, Jérémy Barbay, Timot...
COMPGEOM
1997
ACM
13 years 11 months ago
Realistic Input Models for Geometric Algorithms
Many algorithms developed in computational geometry are needlessly complicated and slow because they have to be prepared for very complicated, hypothetical inputs. To avoid this, ...
Mark de Berg, Matthew J. Katz, A. Frank van der St...
ESA
2009
Springer
115views Algorithms» more  ESA 2009»
14 years 1 months ago
Output-Sensitive Algorithms for Enumerating Minimal Transversals for Some Geometric Hypergraphs
We give a general framework for the problem of finding all minimal hitting sets of a family of objects in Rd by another. We apply this framework to the following problems: (i) hit...
Khaled M. Elbassioni, Kazuhisa Makino, Imran Rauf
3DIM
2003
IEEE
14 years 20 days ago
Geometrically Stable Sampling for the ICP Algorithm
The Iterative Closest Point (ICP) algorithm is a widely used method for aligning three-dimensional point sets. The quality of alignment obtained by this algorithm depends heavily ...
Natasha Gelfand, Szymon Rusinkiewicz, Leslie Ikemo...