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LATIN
1998
Springer
13 years 10 months ago
Short and Smooth Polygonal Paths
Abstract. Automatic graph drawers need to compute paths among vertices of a simple polygon which besides remaining in the interior need to exhibit certain aesthetic properties. Som...
James Abello, Emden R. Gansner
PSIVT
2007
Springer
143views Multimedia» more  PSIVT 2007»
14 years 10 days ago
Approximate ESPs on Surfaces of Polytopes Using a Rubberband Algorithm
Let p and q be two points on the surface of a polytope Π. This paper provides a rubberband algorithm for computing a Euclidean shortest path between p and q (a so-called surface E...
Fajie Li, Reinhard Klette, Xue Fu
COMGEO
2006
ACM
13 years 6 months ago
Computing homotopic shortest paths efficiently
Geometric shortest paths are a major topic in computational geometry; see the survey paper by Mitchell [12]. A shortest path between two points in a simple polygon can be found in...
Alon Efrat, Stephen G. Kobourov, Anna Lubiw
CORR
2010
Springer
180views Education» more  CORR 2010»
13 years 3 months ago
Shortest path problem in rectangular complexes of global nonpositive curvature
Abstract. CAT(0) metric spaces constitute a far-reaching common generalization of Euclidean and hyperbolic spaces and simple polygons: any two points x and y of a CAT(0) metric spa...
Victor Chepoi, Daniela Maftuleac
WADS
2005
Springer
132views Algorithms» more  WADS 2005»
13 years 11 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...