Laguerre Voronoi Diagram as a Model for Generating the Tessellation Patterns on the Sphere

© 2019, Springer Japan KK, part of Springer Nature. We propose a model for generating tessellation patterns on the sphere using the spherical Laguerre Voronoi diagram which satisfies the real-world assumptions. The generator pushing model is presented to generate the tessellation dynamically. The si...

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Main Authors:	Supanut Chaidee, Kokichi Sugihara
Format:	Journal
Published:	2019
Subjects:	Mathematics
Online Access:	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85060044506&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/63688
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Institution:	Chiang Mai University

id	th-cmuir.6653943832-63688
record_format	dspace
spelling	th-cmuir.6653943832-636882019-03-18T02:24:04Z Laguerre Voronoi Diagram as a Model for Generating the Tessellation Patterns on the Sphere Supanut Chaidee Kokichi Sugihara Mathematics © 2019, Springer Japan KK, part of Springer Nature. We propose a model for generating tessellation patterns on the sphere using the spherical Laguerre Voronoi diagram which satisfies the real-world assumptions. The generator pushing model is presented to generate the tessellation dynamically. The simulations were done for the different distribution of spherical circles on the sphere, and the results show the tendency of the distribution of resulting spherical circles. 2019-03-18T02:24:04Z 2019-03-18T02:24:04Z 2019-01-01 Journal 09110119 2-s2.0-85060044506 10.1007/s00373-019-02006-5 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85060044506&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/63688
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Mathematics
spellingShingle	Mathematics Supanut Chaidee Kokichi Sugihara Laguerre Voronoi Diagram as a Model for Generating the Tessellation Patterns on the Sphere
description	© 2019, Springer Japan KK, part of Springer Nature. We propose a model for generating tessellation patterns on the sphere using the spherical Laguerre Voronoi diagram which satisfies the real-world assumptions. The generator pushing model is presented to generate the tessellation dynamically. The simulations were done for the different distribution of spherical circles on the sphere, and the results show the tendency of the distribution of resulting spherical circles.
format	Journal
author	Supanut Chaidee Kokichi Sugihara
author_facet	Supanut Chaidee Kokichi Sugihara
author_sort	Supanut Chaidee
title	Laguerre Voronoi Diagram as a Model for Generating the Tessellation Patterns on the Sphere
title_short	Laguerre Voronoi Diagram as a Model for Generating the Tessellation Patterns on the Sphere
title_full	Laguerre Voronoi Diagram as a Model for Generating the Tessellation Patterns on the Sphere
title_fullStr	Laguerre Voronoi Diagram as a Model for Generating the Tessellation Patterns on the Sphere
title_full_unstemmed	Laguerre Voronoi Diagram as a Model for Generating the Tessellation Patterns on the Sphere
title_sort	laguerre voronoi diagram as a model for generating the tessellation patterns on the sphere
publishDate	2019
url	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85060044506&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/63688
_version_	1681425941932277760

Laguerre Voronoi Diagram as a Model for Generating the Tessellation Patterns on the Sphere

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