Forest-like abstract Voronoi diagrams in linear time
(2018) In Computational Geometry: Theory and Applications 68. p.134-145- Abstract
Abstract Voronoi diagrams are a general framework covering many types of concrete diagrams for different types of sites or distance measures. Generalizing a famous result by Aggarwal et al. we prove the following. Suppose it is known that inside a closed domain D the Voronoi diagram V(S) is a tree, and for each subset S'⊂S, a forest with one face per site. If the order of Voronoi regions of V(S) along the boundary of D is given, then V(S) inside D can be constructed in linear time.
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http://lup.lub.lu.se/record/875ae243-5408-43fa-8af7-92678053d679
- author
- Bohler, Cecilia ; Klein, Rolf ; Lingas, Andrzej LU and Liu, Chih Hung
- organization
- publishing date
- 2018-03
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Abstract Voronoi diagrams, Forest structures, General distance, Linear-time algorithms, Voronoi diagrams
- in
- Computational Geometry: Theory and Applications
- volume
- 68
- pages
- 134 - 145
- publisher
- Elsevier
- external identifiers
-
- wos:000415778300011
- scopus:85023625891
- ISSN
- 0925-7721
- DOI
- 10.1016/j.comgeo.2017.06.013
- language
- English
- LU publication?
- yes
- id
- 875ae243-5408-43fa-8af7-92678053d679
- date added to LUP
- 2017-07-27 14:25:23
- date last changed
- 2019-12-10 07:02:39
@article{875ae243-5408-43fa-8af7-92678053d679, abstract = {<p>Abstract Voronoi diagrams are a general framework covering many types of concrete diagrams for different types of sites or distance measures. Generalizing a famous result by Aggarwal et al. we prove the following. Suppose it is known that inside a closed domain D the Voronoi diagram V(S) is a tree, and for each subset S'⊂S, a forest with one face per site. If the order of Voronoi regions of V(S) along the boundary of D is given, then V(S) inside D can be constructed in linear time.</p>}, author = {Bohler, Cecilia and Klein, Rolf and Lingas, Andrzej and Liu, Chih Hung}, issn = {0925-7721}, language = {eng}, pages = {134--145}, publisher = {Elsevier}, series = {Computational Geometry: Theory and Applications}, title = {Forest-like abstract Voronoi diagrams in linear time}, url = {http://dx.doi.org/10.1016/j.comgeo.2017.06.013}, doi = {10.1016/j.comgeo.2017.06.013}, volume = {68}, year = {2018}, }