A method to reduce processing time by parallelizing generation of Voronoi diagrams

Yuuhi Okahana, Yusuke Gotoh

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Due to the recent popularization of the Geographic Information System (GIS), spatial network environments that can display the changes of spatial axes on mobile phones are receiving great attention. In spatial network environments, since a query object that seeks location information selects several candidate target objects based on the search conditions, we often use a k-nearest neighbor (kNN) search, which seeks several target objects near the query object. However, since a kNN search needs to find the kNN by calculating the distance from the query to all the objects, the computational complexity might become too large, depending on the number of objects. To reduce this computation time in a kNN search, many researchers have proposed a search method that divides regions using a Voronoi diagram. In this method, we reduce the computational complexity by generating Voronoi regions for each object based on the positional relationships between two objects. In addition, a search method was proposed to reduce the processing time by generating Voronoi diagrams using a contact zone. However, since conventional methods generate Voronoi diagrams for objects in order, the computational complexity might become too large, depending on the number of objects. In this paper, we propose a generation method of the Voronoi diagram to the reduce processing time by parallelizing the generation of Voronoi regions using a contact zone. In our evaluation, we confirmed that the processing time under the proposed method was reduced about 15.9% more than conventional methods that are not parallelized.

Original languageEnglish
Title of host publicationMoMM 2018 - 16th International Conference on Advances in Mobile Computing and Multimedia
EditorsIvan Luiz Salvadori, Ismail Khalil, Matthias Steinbauer, Pari Delir Haghighi, Kotsis Gabriele Anderst
PublisherAssociation for Computing Machinery
Pages53-60
Number of pages8
ISBN (Electronic)9781450364522
DOIs
Publication statusPublished - Nov 19 2018
Event16th International Conference on Advances in Mobile Computing and Multimedia, MoMM 2018 - Yogyakarta, Indonesia
Duration: Nov 19 2018Nov 21 2018

Other

Other16th International Conference on Advances in Mobile Computing and Multimedia, MoMM 2018
CountryIndonesia
CityYogyakarta
Period11/19/1811/21/18

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Keywords

  • Contact zone
  • Processing time
  • Voronoi diagram

ASJC Scopus subject areas

  • Human-Computer Interaction
  • Computer Networks and Communications
  • Computer Vision and Pattern Recognition
  • Software

Cite this

Okahana, Y., & Gotoh, Y. (2018). A method to reduce processing time by parallelizing generation of Voronoi diagrams. In I. L. Salvadori, I. Khalil, M. Steinbauer, P. D. Haghighi, & K. G. Anderst (Eds.), MoMM 2018 - 16th International Conference on Advances in Mobile Computing and Multimedia (pp. 53-60). Association for Computing Machinery. https://doi.org/10.1145/3282353.3282358