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		<site>sibgrapi.sid.inpe.br 802</site>
		<citationkey>Velho:2000:Se48Re</citationkey>
		<author>Velho, luiz,</author>
		<title>Semi-regular 4-8 refinement and box spline surfaces</title>
		<conferencename>Brazilian Symposium on Computer Graphics and Image Processing, 13 (SIBGRAPI)</conferencename>
		<year>2000</year>
		<editor>Carvalho, Paulo Cezar Pinto,</editor>
		<editor>Walter, Marcelo,</editor>
		<date>October</date>
		<publisheraddress>Los Alamitos</publisheraddress>
		<publisher>IEEE Computer Society</publisher>
		<conferencelocation>Gramado, RS, Brazil</conferencelocation>
		<keywords>splines (mathematics) semi-regular 4-8 refinement box spline surfaces mesh refinement method subdivision surfaces semiregular 3-direction hierarchical structure control meshes 2D manifolds arbitrary topology conforming variable-resolution mesh extraction spatially varying adaptation functions smoothing method generalized four direction box spline surfaces subdivision scheme.</keywords>
		<abstract>We introduce a new mesh refinement method for subdivision surfaces. It generates a semiregular 3-direction hierarchical structure from control meshes representing 2D manifolds of arbitrary topology. The main advantage of this structure is that it allows the extraction of conforming variable-resolution meshes based on spatially varying adaptation functions. We also present a smoothing method designed to work in conjunction with our semi-regular refinement. It produces generalized four direction box spline surfaces of class C/sup 1/. Together the refinement and smoothing operators result in a subdivision scheme that is very effective in multiresolution applications.</abstract>
		<pages>131-138</pages>
		<notes>The conference was held in Gramado, RS, Brazil, from October 17 to 20.</notes>
		<organization>SBC - Brazilian Computer Society</organization>
		<tertiarytype>Full Paper</tertiarytype>
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		<targetfile>131-138.pdf</targetfile>
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		<url>http://sibgrapi.sid.inpe.br/rep-/sid.inpe.br/banon/2002/11.06.10.38</url>
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