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		<identifier>8JMKD3MGPAW/3RNUHSB</identifier>
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		<doi>10.1109/SIBGRAPI.2018.00009</doi>
		<citationkey>MedeiroseSáFiguSoto:2018:SyPeTi</citationkey>
		<title>Synthesizing Periodic Tilings of Regular Polygons</title>
		<format>On-line</format>
		<year>2018</year>
		<numberoffiles>1</numberoffiles>
		<size>2861 KiB</size>
		<author>Medeiros e Sá, Asla,</author>
		<author>Figueiredo, Luiz Henrique de,</author>
		<author>Soto S., José Ezequiel,</author>
		<affiliation>FGV EMAp</affiliation>
		<affiliation>IMPA</affiliation>
		<affiliation>IMPA</affiliation>
		<editor>Ross, Arun,</editor>
		<editor>Gastal, Eduardo S. L.,</editor>
		<editor>Jorge, Joaquim A.,</editor>
		<editor>Queiroz, Ricardo L. de,</editor>
		<editor>Minetto, Rodrigo,</editor>
		<editor>Sarkar, Sudeep,</editor>
		<editor>Papa, João Paulo,</editor>
		<editor>Oliveira, Manuel M.,</editor>
		<editor>Arbeláez, Pablo,</editor>
		<editor>Mery, Domingo,</editor>
		<editor>Oliveira, Maria Cristina Ferreira de,</editor>
		<editor>Spina, Thiago Vallin,</editor>
		<editor>Mendes, Caroline Mazetto,</editor>
		<editor>Costa, Henrique Sérgio Gutierrez,</editor>
		<editor>Mejail, Marta Estela,</editor>
		<editor>Geus, Klaus de,</editor>
		<editor>Scheer, Sergio,</editor>
		<e-mailaddress>lhf@impa.br</e-mailaddress>
		<conferencename>Conference on Graphics, Patterns and Images, 31 (SIBGRAPI)</conferencename>
		<conferencelocation>Foz do Iguaçu, PR, Brazil</conferencelocation>
		<date>29 Oct.-1 Nov. 2018</date>
		<publisher>IEEE Computer Society</publisher>
		<publisheraddress>Los Alamitos</publisheraddress>
		<booktitle>Proceedings</booktitle>
		<tertiarytype>Full Paper</tertiarytype>
		<transferableflag>1</transferableflag>
		<versiontype>finaldraft</versiontype>
		<keywords>tilings, tessellations, generative model.</keywords>
		<abstract>We present a simple representation for periodic tilings of the plane by regular polygons. Our approach is to represent explicitly a minimal subset of the vertices from which we systematically generate all vertices in the tiling by translations. We then deduce the edges and the faces using the constraint that all edges have the same length. Our representation can be used to synthesize tilings manually and automatically from images.</abstract>
		<language>en</language>
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		<usergroup>lhf@impa.br</usergroup>
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		<citingitemlist>sid.inpe.br/sibgrapi/2018/09.03.20.37 8</citingitemlist>
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		<url>http://sibgrapi.sid.inpe.br/rep-/sid.inpe.br/sibgrapi/2018/09.01.20.12</url>
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