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		<citationkey>DuarteSach:2017:MeCuFl</citationkey>
		<title>Mean Curvature Flow and Applications</title>
		<format>On-line</format>
		<year>2017</year>
		<numberoffiles>1</numberoffiles>
		<size>2104 KiB</size>
		<author>Duarte, Maria Eduarda,</author>
		<author>Sacht, Leonardo,</author>
		<editor>Torchelsen, Rafael Piccin,</editor>
		<editor>Nascimento, Erickson Rangel do,</editor>
		<editor>Panozzo, Daniele,</editor>
		<editor>Liu, Zicheng,</editor>
		<editor>Farias, Mylène,</editor>
		<editor>Viera, Thales,</editor>
		<editor>Sacht, Leonardo,</editor>
		<editor>Ferreira, Nivan,</editor>
		<editor>Comba, João Luiz Dihl,</editor>
		<editor>Hirata, Nina,</editor>
		<editor>Schiavon Porto, Marcelo,</editor>
		<editor>Vital, Creto,</editor>
		<editor>Pagot, Christian Azambuja,</editor>
		<editor>Petronetto, Fabiano,</editor>
		<editor>Clua, Esteban,</editor>
		<editor>Cardeal, Flávio,</editor>
		<e-mailaddress>m.duarte@grad.ufsc.br</e-mailaddress>
		<conferencename>Conference on Graphics, Patterns and Images, 30 (SIBGRAPI)</conferencename>
		<conferencelocation>Niterói, RJ</conferencelocation>
		<date>Oct. 17-20, 2017</date>
		<booktitle>Proceedings</booktitle>
		<publisher>Sociedade Brasileira de Computação</publisher>
		<publisheraddress>Porto Alegre</publisheraddress>
		<tertiarytype>Undergraduate Work</tertiarytype>
		<transferableflag>1</transferableflag>
		<keywords>mean curvature flow, geometry processing, triangular mesh, Laplace-Beltrami operator.</keywords>
		<abstract>Input data for geometry processing is commonly problematic: the discretization of the volume of a surface may contain self-intersections or noise. These problems are related to curvature. In this work we review some concepts in differential geometry, geometry processing and present the Mean Curvature Flow to solve those problems. We review some modifications in the discrete case to improve the discrete flow. Then we analyse an implementation of the Conformalized Mean Curvature Flow.</abstract>
		<language>en</language>
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