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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
ISAAC
1993
Springer
87views Algorithms» more  ISAAC 1993»
13 years 9 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 5 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 6 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»
13 years 11 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