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COMPGEOM
2004
ACM
14 years 1 months ago
New results on shortest paths in three dimensions
We revisit the problem of computing shortest obstacle-avoiding paths among obstacles in three dimensions. We prove new hardness results, showing, e.g., that computing Euclidean sh...
Joseph S. B. Mitchell, Micha Sharir
DCG
2010
75views more  DCG 2010»
13 years 7 months ago
Star Unfolding Convex Polyhedra via Quasigeodesic Loops
We extend the notion of star unfolding to be based on a quasigeodesic loop Q rather than on a point. This gives a new general method to unfold the surface of any convex polyhedron ...
Jin-ichi Itoh, Joseph O'Rourke, Costin Vîlcu
WADS
2005
Springer
132views Algorithms» more  WADS 2005»
14 years 1 months ago
k-Link Shortest Paths in Weighted Subdivisions
We study the shortest path problem in weighted polygonal subdivisions of the plane, with the additional constraint of an upper bound, k, on the number of links (segments) in the pa...
Ovidiu Daescu, Joseph S. B. Mitchell, Simeon C. Nt...
ICPR
2000
IEEE
14 years 2 days ago
Rubber Band Algorithm for Estimating the Length of Digitized Space-Curves
We consider simple digital curves in a 3D orthogonal grid as special polyhedrally bounded sets. These digital curves model digitized curves or arcs in three-dimensional euclidean ...
Thomas Bülow, Reinhard Klette
COMGEO
2000
ACM
13 years 7 months ago
Computing simple paths among obstacles
Given a set X of points in the plane, two distinguished points s,t X, and a set of obstacles represented by line segments, we wish to compute a simple polygonal path from s to t...
Qi Cheng, Marek Chrobak, Gopalakrishnan Sundaram