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		<citationkey>PaivaNascFiguStol:2012:ApImCu</citationkey>
		<title>Approximating implicit curves on triangulations with affine arithmetic</title>
		<format>DVD, On-line.</format>
		<year>2012</year>
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		<size>10894 KiB</size>
		<author>Paiva, Afonso,</author>
		<author>Nascimento, Filipe de Carvalho,</author>
		<author>Figueiredo, Luiz Henrique de,</author>
		<author>Stolfi, Jorge,</author>
		<affiliation>ICMC, USP, São Carlos</affiliation>
		<affiliation>ICMC, USP, São Carlos</affiliation>
		<affiliation>IMPA</affiliation>
		<affiliation>IC, Unicamp</affiliation>
		<editor>Freitas, Carla Maria Dal Sasso,</editor>
		<editor>Sarkar, Sudeep,</editor>
		<editor>Scopigno, Roberto,</editor>
		<editor>Silva, Luciano,</editor>
		<e-mailaddress>lhf@impa.br</e-mailaddress>
		<conferencename>Conference on Graphics, Patterns and Images, 25 (SIBGRAPI)</conferencename>
		<conferencelocation>Ouro Preto</conferencelocation>
		<date>Aug. 22-25, 2012</date>
		<booktitle>Proceedings</booktitle>
		<publisher>IEEE Computer Society</publisher>
		<publisheraddress>Los Alamitos</publisheraddress>
		<tertiarytype>Full Paper</tertiarytype>
		<transferableflag>1</transferableflag>
		<contenttype>External Contribution</contenttype>
		<keywords>implicit curves, polygonal approximation, interval methods.</keywords>
		<abstract>We present an adaptive method for computing a robust polygonal approximation of an implicit curve in the plane that uses affine arithmetic to identify regions where the curve lies inside a thin strip. Unlike other interval methods, even those based on affine arithmetic, our method works on triangulations, not only on rectangular quadtrees.</abstract>
		<language>en</language>
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