Title
Voronoi diagrams for direction-sensitive distances
Abstract
On a tilted plane T in three-space, directionsensitivedistances are defined as the Euclideandistance plus a multiple of the signed differencein height. These direction-sensitive distances,called skew distances, generalize the Euclideandistance and may model realistic environmentsmore closely than the Euclidean distance. VariousVoronoi diagrams and related problems underthis kind of distances are investigated. Arelationship to convex distance functions and toEuclidean Voronoi diagrams...
Year
DOI
Venue
1997
10.1145/262839.263045
Symposium on Computational Geometry 2013
Keywords
Field
DocType
direction-sensitive distance,voronoi diagram,computational geometry,distance function,visualization,euclidean distance
Power diagram,Combinatorics,Bowyer–Watson algorithm,Centroidal Voronoi tessellation,Euclidean distance,Computational geometry,Lloyd's algorithm,Voronoi diagram,Weighted Voronoi diagram,Geometry,Mathematics
Conference
ISBN
Citations 
PageRank 
0-89791-878-9
1
0.40
References 
Authors
8
6
Name
Order
Citations
PageRank
Oswin Aichholzer185296.04
Danny Z. Chen21713165.02
D. T. Lee324181083.30
Asish Mukhopadhyay415328.91
Evanthia Papadopoulou511018.37
Franz Aurenhammer62060202.90