Dynamic Planar Voronoi Diagrams for General Distance Functions and Their Algorithmic Applications

We describe a new data structure for dynamic nearest neighbor queries in the plane with respect to a general family of distance functions. These include L p -norms and additively weighted Euclidean distances. Our data structure supports general (convex, pairwise disjoint) sites that have constant de...

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Bibliographic Details
Published in:	Discrete & computational geometry Vol. 64; no. 3; pp. 838 - 904
Main Authors:	Kaplan, Haim, Mulzer, Wolfgang, Roditty, Liam, Seiferth, Paul, Sharir, Micha
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.10.2020 Springer Nature B.V
Subjects:	Algebra Algorithms Bivariate analysis Combinatorial analysis Combinatorics Complexity Computational Mathematics and Numerical Analysis Cutting parameters Data structures Disks Mathematics Mathematics and Statistics Norms Queries Ricky Pollack Memorial Issue Supports Voronoi graphs 68Q25 Voronoi diagram 68W40 General distance functions Dynamic structure
ISSN:	0179-5376, 1432-0444
Online Access:	Get full text
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