Title
Yet another algorithm for generalized Voronoï Diagrams
Abstract
We design and implement an efficient algorithm for the computation of generalized Voronoï Diagrams (VD's) constrained to a given domain. Our framework is general and applicable to any VD-type where the distance field is given by a polynomial. We use the Bernstein form of polynomials to subdivide the domain and isolate bisector domains or domains that contain a Voronoï vertex. Efficiency is due to a filtering process, based on bounding the distance functions over the subdivided domains. The output is a polygonal description of each Voronoï cell up to any user-defined precision.
Year
DOI
Venue
2012
10.1145/2245276.2245299
SAC
Keywords
Field
DocType
bernstein form,polygonal description,distance function,generalized vorono,bisector domain,efficient algorithm,distance field,user-defined precision,subdivided domain,voronoi diagram
Power diagram,Centroidal Voronoi tessellation,Bowyer–Watson algorithm,Polynomial,Computer science,Algorithm,Distance transform,Fortune's algorithm,Weighted Voronoi diagram,Voronoi diagram
Conference
Citations 
PageRank 
References 
0
0.34
5
Authors
3
Name
Order
Citations
PageRank
Ioannis Emiris1406.39
Angelos Mantzaflaris28211.47
Bernard Mourrain31074113.70