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		<doi>10.1109/SIBGRAPI.2007.8</doi>
		<citationkey>GoisPoEtTeCaErNo:2007:RoAdSu</citationkey>
		<title>Robust and Adaptive Surface Reconstruction using Partition of Unity Implicits</title>
		<format>Printed, On-line.</format>
		<year>2007</year>
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		<author>Gois, João Paulo,</author>
		<author>Polizelli-Junior, Valdecir,</author>
		<author>Etiene, Tiago,</author>
		<author>Tejada, Eduardo,</author>
		<author>Castelo, Antonio,</author>
		<author>Ertl, Thomas,</author>
		<author>Nonato, Luis Gustavo,</author>
		<affiliation>Universidade de São Paulo</affiliation>
		<affiliation>Universidade de São Paulo</affiliation>
		<affiliation>Universidade de São Paulo</affiliation>
		<affiliation>Universität Stuttgart</affiliation>
		<affiliation>Universidade de São Paulo</affiliation>
		<affiliation>Universität Stuttgart</affiliation>
		<affiliation>Universidade de São Paulo</affiliation>
		<editor>Falcão, Alexandre Xavier,</editor>
		<editor>Lopes, Hélio Côrtes Vieira,</editor>
		<conferencename>Brazilian Symposium on Computer Graphics and Image Processing, 20 (SIBGRAPI)</conferencename>
		<conferencelocation>Belo Horizonte, MG, Brazil</conferencelocation>
		<date>7-10 Oct. 2007</date>
		<publisher>IEEE Computer Society</publisher>
		<publisheraddress>Los Alamitos</publisheraddress>
		<booktitle>Proceedings</booktitle>
		<tertiarytype>Full Paper</tertiarytype>
		<transferableflag>1</transferableflag>
		<versiontype>finaldraft</versiontype>
		<keywords>Partition of Unity, Surface Reconstruction, Multi-variate Orthogonal Polynomials, J1A Triangulation.</keywords>
		<abstract>Implicit surface reconstruction from unorganized point sets has been recently approached with methods based on multi-level partition of unity. We improve this approach by addressing local approximation robustness and iso-surface extraction issues. Our method relies on the J1A triangulation to perform both the spatial subdivision and the iso-surface extraction. We also make use of orthogonal polynomials to provide adaptive local approximations in which the degree of the polynomial can be adjusted to accurately reconstruct the surface locally. Finally, we compare our results with previous work to demonstrate the robustness of our method.</abstract>
		<language>en</language>
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