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ICCSA
2004
Springer
14 years 1 months ago
A Robust and Fast Algorithm for Computing Exact and Approximate Shortest Visiting Routes
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...
Håkan Jonsson
ALGOSENSORS
2008
Springer
13 years 9 months ago
Simple Robots in Polygonal Environments: A Hierarchy
With the current progress in robot technology and related areas, sophisticated moving and sensing capabilities are at hand to design robots capable of solving seemingly complex tas...
Jan Brunner, Matús Mihalák, Subhash ...
CORR
2010
Springer
180views Education» more  CORR 2010»
13 years 5 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
AAIM
2009
Springer
119views Algorithms» more  AAIM 2009»
14 years 2 months ago
Link Distance and Shortest Path Problems in the Plane
We develop algorithms to compute Voronoi diagrams, shortest path maps, and the Fr´echet distance in the plane with polygonal obstacles. Distances between points are measured eithe...
Atlas F. Cook, Carola Wenk
CORR
2007
Springer
100views Education» more  CORR 2007»
13 years 7 months ago
Unfolding Convex Polyhedra via Quasigeodesics
We show that cutting shortest paths from every vertex of a convex polyhedron to a simple closed quasigeodesic, and cutting all but a short segment of the quasigeodesic, unfolds th...
Jin-ichi Itoh, Joseph O'Rourke, Costin Vîlcu