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COMPGEOM
2003
ACM
16 years 3 days ago
Updating and constructing constrained delaunay and constrained regular triangulations by flips
I discuss algorithms based on bistellar flips for inserting and deleting constraining (d − 1)-facets in d-dimensional constrained Delaunay triangulations (CDTs) and weighted CD...
Jonathan Richard Shewchuk
COMPGEOM
2010
ACM
15 years 12 months ago
Approximating loops in a shortest homology basis from point data
Inference of topological and geometric attributes of a hidden manifold from its point data is a fundamental problem arising in many scientific studies and engineering application...
Tamal K. Dey, Jian Sun, Yusu Wang
ICRA
2002
IEEE
92views Robotics» more  ICRA 2002»
15 years 11 months ago
Resolution Complete Rapidly-Exploring Random Trees
Trajectory design for high-dimensional systems with nonconvex constraints is a challenging problem considered in this paper. Classical dynamic programming is often employed, but c...
Peng Cheng, Steven M. LaValle
SPAA
2010
ACM
15 years 11 months ago
Fast distributed approximation algorithms for vertex cover and set cover in anonymous networks
We present a distributed algorithm that finds a maximal edge packing in O(∆ + log∗ W) synchronous communication rounds in a weighted graph, independent of the number of nodes...
Matti Åstrand, Jukka Suomela
COMPGEOM
2009
ACM
15 years 11 months ago
Kinetic spanners in Rd
We present a new (1 + ε)-spanner for sets of n points in Rd . Our spanner has size O(n/εd−1 ) and maximum degree O(logd n). The main advantage of our spanner is that it can be...
Mohammad Ali Abam, Mark de Berg