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		<citationkey>LagePePaLoLeTa:2006:VeFiRe</citationkey>
		<title>Vector field reconstruction from sparse samples with applications</title>
		<format>On-line</format>
		<year>2006</year>
		<date>8-11 Oct. 2006</date>
		<numberoffiles>1</numberoffiles>
		<size>3411 KiB</size>
		<author>Lage, Marcos,</author>
		<author>Petronetto, Fabiano,</author>
		<author>Paiva, Afonso,</author>
		<author>Lopes, Hélio,</author>
		<author>Lewiner, Thomas,</author>
		<author>Tavares, Geovan,</author>
		<affiliation>Departamento de Matematica. PUC - Rio de Janeiro</affiliation>
		<affiliation>Departamento de Matematica. PUC - Rio de Janeiro</affiliation>
		<affiliation>Departamento de Matematica. PUC - Rio de Janeiro</affiliation>
		<affiliation>Departamento de Matematica. PUC - Rio de Janeiro</affiliation>
		<affiliation>Departamento de Matematica. PUC - Rio de Janeiro</affiliation>
		<affiliation>Departamento de Matematica. PUC - Rio de Janeiro</affiliation>
		<editor>Oliveira Neto, Manuel Menezes de,</editor>
		<editor>Carceroni, Rodrigo Lima,</editor>
		<e-mailaddress>tomlew@mat.puc-rio.br</e-mailaddress>
		<conferencename>Brazilian Symposium on Computer Graphics and Image Processing, 19 (SIBGRAPI)</conferencename>
		<conferencelocation>Manaus</conferencelocation>
		<booktitle>Proceedings</booktitle>
		<publisher>IEEE Computer Society</publisher>
		<publisheraddress>Los Alamitos</publisheraddress>
		<transferableflag>1</transferableflag>
		<contenttype>External Contribution</contenttype>
		<tertiarytype>Full Paper</tertiarytype>
		<keywords>Vector field reconstruction, partition of unity, function approximation.</keywords>
		<abstract>We present a novel algorithm for 2D vector field reconstruction from sparse set of points-vectors pairs. Our approach subdivides the domain adaptively in order to make local piecewise polynomial approximations for the field. It uses partition of unity to blend those local approximations together, generating a global approximation for the field. The flexibility of this scheme allows handling data from very different sources. In particular, this work presents important applications of the proposed method to velocity and acceleration fields' analysis, in particular for fluid dynamics visualization.</abstract>
		<language>en</language>
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		<url>http://sibgrapi.sid.inpe.br/rep-/sid.inpe.br/sibgrapi@80/2006/07.13.22.54</url>
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