<?xml version="1.0" encoding="ISO-8859-1"?>
<metadatalist>
	<metadata ReferenceType="Conference Proceedings">
		<site>sibgrapi.sid.inpe.br 802</site>
		<holdercode>{ibi 8JMKD3MGPEW34M/46T9EHH}</holdercode>
		<identifier>8JMKD3MGPBW4/35S5DBH</identifier>
		<repository>sid.inpe.br/sibgrapi@80/2009/08.17.15.52</repository>
		<lastupdate>2009:08.17.15.52.57 sid.inpe.br/banon/2001/03.30.15.38 administrator</lastupdate>
		<metadatarepository>sid.inpe.br/sibgrapi@80/2009/08.17.15.52.58</metadatarepository>
		<metadatalastupdate>2022:06.14.00.13.57 sid.inpe.br/banon/2001/03.30.15.38 administrator {D 2009}</metadatalastupdate>
		<doi>10.1109/SIBGRAPI.2009.9</doi>
		<citationkey>BordignonVaViFeCrLe:2009:ScUn3D</citationkey>
		<title>Scale-Space for Union of 3D Balls</title>
		<format>Printed, On-line.</format>
		<year>2009</year>
		<numberoffiles>1</numberoffiles>
		<size>8437 KiB</size>
		<author>Bordignon, Alex,</author>
		<author>Vath, Betina,</author>
		<author>Vieira, Thales,</author>
		<author>Ferreira, Cynthia O. L.,</author>
		<author>Craizer, Marcos,</author>
		<author>Lewiner, Thomas,</author>
		<affiliation>Matmídia Laboratory – Department of Mathematics, PUC–Rio – Rio de Janeiro, Brazil</affiliation>
		<affiliation>Matmídia Laboratory – Department of Mathematics, PUC–Rio – Rio de Janeiro, Brazil</affiliation>
		<affiliation>Matmídia Laboratory – Department of Mathematics, PUC–Rio – Rio de Janeiro, Brazil</affiliation>
		<affiliation>Institut de Mathématiques - INSA - Toulouse, France</affiliation>
		<affiliation>Matmídia Laboratory – Department of Mathematics, PUC–Rio – Rio de Janeiro, Brazil</affiliation>
		<affiliation>Matmídia Laboratory – Department of Mathematics, PUC–Rio – Rio de Janeiro, Brazil</affiliation>
		<editor>Nonato, Luis Gustavo,</editor>
		<editor>Scharcanski, Jacob,</editor>
		<e-mailaddress>lewiner@gmail.com</e-mailaddress>
		<conferencename>Brazilian Symposium on Computer Graphics and Image Processing, 22 (SIBGRAPI)</conferencename>
		<conferencelocation>Rio de Janeiro, RJ, Brazil</conferencelocation>
		<date>11-14 Oct. 2009</date>
		<publisher>IEEE Computer Society</publisher>
		<publisheraddress>Los Alamitos</publisheraddress>
		<booktitle>Proceedings</booktitle>
		<tertiarytype>Full Paper</tertiarytype>
		<transferableflag>1</transferableflag>
		<versiontype>finaldraft</versiontype>
		<keywords>Union of Balls, Scale Spaces, Curvature Motion.</keywords>
		<abstract>Shape discretization through union of weighted points or balls appears as a common representation in different &#64257;elds of computer graphics and geometric modeling. Among others, it has been very successful for implicit surface reconstruction with radial basis functions, molecular atomic models, &#64258;uid simulation from particle systems and deformation tracking with particle &#64257;lters. These representations are commonly generated from real measurements or numerical computations, which may require &#64257;ltering and smoothing operations.This work proposes a smoothing mechanism for union of balls that tries to inherit from the scale-space properties of bi-dimensional curvature motion: it avoids disconnecting the shape, prevents self-intersection, regularly decreases the area and convexi&#64257;es the shape. The smoothing is computed iteratively by moving each ball of the union according to a combination of projected planar curvature motions. Experiments exhibits nice properties of this scale-space.</abstract>
		<language>en</language>
		<targetfile>57785_2.pdf</targetfile>
		<usergroup>lewiner@gmail.com</usergroup>
		<visibility>shown</visibility>
		<nexthigherunit>8JMKD3MGPEW34M/46SJQ2S</nexthigherunit>
		<nexthigherunit>8JMKD3MGPEW34M/4742MCS</nexthigherunit>
		<citingitemlist>sid.inpe.br/sibgrapi/2022/05.14.19.43 2</citingitemlist>
		<hostcollection>sid.inpe.br/banon/2001/03.30.15.38</hostcollection>
		<lasthostcollection>sid.inpe.br/banon/2001/03.30.15.38</lasthostcollection>
		<url>http://sibgrapi.sid.inpe.br/rep-/sid.inpe.br/sibgrapi@80/2009/08.17.15.52</url>
	</metadata>
</metadatalist>