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LATIN
1998
Springer
13 years 12 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
ISAAC
1993
Springer
87views Algorithms» more  ISAAC 1993»
13 years 11 months ago
Finding the Shortest Watchman Route in a Simple Polygon
We present the first polynomial time algorithm that finds the shortest route in a simple polygon such that all points of the polygon are visible from the route. This route is cal...
Svante Carlsson, Håkan Jonsson, Bengt J. Nil...
COMGEO
2006
ACM
13 years 7 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
ESA
2010
Springer
142views Algorithms» more  ESA 2010»
13 years 8 months ago
The Geodesic Diameter of Polygonal Domains
This paper studies the geodesic diameter of polygonal domains having h holes and n corners. For simple polygons (i.e., h = 0), it is known that the geodesic diameter is determined...
Sang Won Bae, Matias Korman, Yoshio Okamoto
CAIP
2007
Springer
132views Image Analysis» more  CAIP 2007»
14 years 1 months ago
Decomposing a Simple Polygon into Trapezoids
Chazelle’s triangulation [1] forms today the common basis for linear-time Euclidean shortest path (ESP) calculations (where start and end point are given within a simple polygon)...
Fajie Li, Reinhard Klette