103 search results - page 2 / 21 » Computing approximate shortest paths on convex polytopes |
STOC
2003
ACM
14 years 5 months ago
2003
ACM
We initiate an investigation of sublinear algorithms for geometric problems in two and three dimensions. We give optimal algorithms for intersection detection of convex polygons a...
ICCSA
2004
Springer
13 years 10 months ago
2004
Springer
Abstract. Given a simple n-sided polygon in the plane with a boundary partitioned into subchains some of which are convex and colored, we consider the following problem: Which is t...
COMPGEOM
2007
ACM
13 years 8 months ago
2007
ACM
We present a data structure for answering approximate shortest path queries in a planar subdivision from a fixed source. Let 1 be a real number. Distances in each face of this sub...
DCG
2008
13 years 4 months ago
2008
Let S be the boundary of a convex polytope of dimension d + 1, or more generally let S be a convex polyhedral pseudomanifold. We prove that S has a polyhedral nonoverlapping unfold...
SIAMCOMP
2008
13 years 4 months ago
2008
Our goal is to find an approximate shortest path for a point robot moving in a planar subdivision with n vertices. Let 1 be a real number. Distances in each face of this subdivis...