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CAIP
2007
Springer
125views Image Analysis» more  CAIP 2007»
14 years 3 months ago
Euclidean Shortest Paths in Simple Cube Curves at a Glance
This paper reports about the development of two provably correct approximate algorithms which calculate the Euclidean shortest path (ESP) within a given cube-curve with arbitrary a...
Fajie Li, Reinhard Klette
PSIVT
2007
Springer
143views Multimedia» more  PSIVT 2007»
14 years 5 months 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
CAIP
2007
Springer
132views Image Analysis» more  CAIP 2007»
14 years 5 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
WADS
2009
Springer
317views Algorithms» more  WADS 2009»
14 years 6 months ago
Shortest Path Problems on a Polyhedral Surface
We develop algorithms to compute edge sequences, Voronoi diagrams, shortest path maps, the Fréchet distance, and the diameter for a polyhedral surface. Distances on the surface a...
Atlas F. Cook, Carola Wenk