Towards surface regularization via medial axis transitions
The reconstruction of objects from data in practical applications often leads to surfaces with small perturbations and other artifacts, which make the detection of their ridges and generalized axes difficult. We propose an approach to smoothing small structures while preserving ridges, which is base...
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creator | Leymarie, F.F. Kimia, B.B. Giblin, P.J. |
description | The reconstruction of objects from data in practical applications often leads to surfaces with small perturbations and other artifacts, which make the detection of their ridges and generalized axes difficult. We propose an approach to smoothing small structures while preserving ridges, which is based on the medial axis structure of the surface. The medial axis of the surface is organized as a graph structure and the closeness of the medial axis graph to points of instability (transitions) is used to identify those structures, which are most likely due to perturbations. The removal of these structures is our approach to regularizing both the medial axis and the surface. This paper focuses on a subset of medial transitions arising from protrusions and the method is illustrated for a few synthetic and real images. |
doi_str_mv | 10.1109/ICPR.2004.1334484 |
format | Conference Proceeding |
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We propose an approach to smoothing small structures while preserving ridges, which is based on the medial axis structure of the surface. The medial axis of the surface is organized as a graph structure and the closeness of the medial axis graph to points of instability (transitions) is used to identify those structures, which are most likely due to perturbations. The removal of these structures is our approach to regularizing both the medial axis and the surface. 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ICPR 2004</title><addtitle>ICPR</addtitle><description>The reconstruction of objects from data in practical applications often leads to surfaces with small perturbations and other artifacts, which make the detection of their ridges and generalized axes difficult. We propose an approach to smoothing small structures while preserving ridges, which is based on the medial axis structure of the surface. The medial axis of the surface is organized as a graph structure and the closeness of the medial axis graph to points of instability (transitions) is used to identify those structures, which are most likely due to perturbations. The removal of these structures is our approach to regularizing both the medial axis and the surface. This paper focuses on a subset of medial transitions arising from protrusions and the method is illustrated for a few synthetic and real images.</description><subject>Data engineering</subject><subject>Electric shock</subject><subject>Image reconstruction</subject><subject>Laser transitions</subject><subject>Mathematics</subject><subject>Object detection</subject><subject>Smoothing methods</subject><subject>Surface emitting lasers</subject><subject>Surface morphology</subject><subject>Surface reconstruction</subject><issn>1051-4651</issn><issn>2831-7475</issn><isbn>0769521282</isbn><isbn>9780769521282</isbn><fulltext>true</fulltext><rsrctype>conference_proceeding</rsrctype><creationdate>2004</creationdate><recordtype>conference_proceeding</recordtype><sourceid>6IE</sourceid><sourceid>RIE</sourceid><recordid>eNotj8tKAzEUQIMPsK1-gLjJD8x4b97jTgarhYIidV3uTBKJTFtJpr6-XsSuzuLAgcPYJUKNCM31on16rgWAqlFKpZw6YhPhJFZWWX3MpmBNowUKJ07YBEFjpYzGMzYt5Q1AgNRuwm5Wu0_KvvCyz5H6wHN43Q-U0w-NabflH4n4JvhEA6evVPiYaVvSnyrn7DTSUMLFgTP2Mr9btQ_V8vF-0d4uqyTQjZXtlOpBWIoCUQryqL3RInoA0-ug-hiN1S46pUMwFJsQqbNO-NgRONJyxq7-uymEsH7PaUP5e314lr-_dEnv</recordid><startdate>2004</startdate><enddate>2004</enddate><creator>Leymarie, F.F.</creator><creator>Kimia, B.B.</creator><creator>Giblin, P.J.</creator><general>IEEE</general><scope>6IE</scope><scope>6IL</scope><scope>CBEJK</scope><scope>RIE</scope><scope>RIL</scope></search><sort><creationdate>2004</creationdate><title>Towards surface regularization via medial axis transitions</title><author>Leymarie, F.F. ; Kimia, B.B. ; Giblin, P.J.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-i218t-7b44c027af21132ad15d652fd006c5e4cff6758f845ee6af9efab782dfba08a53</frbrgroupid><rsrctype>conference_proceedings</rsrctype><prefilter>conference_proceedings</prefilter><language>eng</language><creationdate>2004</creationdate><topic>Data engineering</topic><topic>Electric shock</topic><topic>Image reconstruction</topic><topic>Laser transitions</topic><topic>Mathematics</topic><topic>Object detection</topic><topic>Smoothing methods</topic><topic>Surface emitting lasers</topic><topic>Surface morphology</topic><topic>Surface reconstruction</topic><toplevel>online_resources</toplevel><creatorcontrib>Leymarie, F.F.</creatorcontrib><creatorcontrib>Kimia, B.B.</creatorcontrib><creatorcontrib>Giblin, P.J.</creatorcontrib><collection>IEEE Electronic Library (IEL) Conference Proceedings</collection><collection>IEEE Proceedings Order Plan All Online (POP All Online) 1998-present by volume</collection><collection>IEEE Xplore All Conference Proceedings</collection><collection>IEEE Electronic Library (IEL)</collection><collection>IEEE Proceedings Order Plans (POP All) 1998-Present</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Leymarie, F.F.</au><au>Kimia, B.B.</au><au>Giblin, P.J.</au><format>book</format><genre>proceeding</genre><ristype>CONF</ristype><atitle>Towards surface regularization via medial axis transitions</atitle><btitle>Proceedings of the 17th International Conference on Pattern Recognition, 2004. ICPR 2004</btitle><stitle>ICPR</stitle><date>2004</date><risdate>2004</risdate><volume>3</volume><spage>123</spage><epage>126 Vol.3</epage><pages>123-126 Vol.3</pages><issn>1051-4651</issn><eissn>2831-7475</eissn><isbn>0769521282</isbn><isbn>9780769521282</isbn><abstract>The reconstruction of objects from data in practical applications often leads to surfaces with small perturbations and other artifacts, which make the detection of their ridges and generalized axes difficult. We propose an approach to smoothing small structures while preserving ridges, which is based on the medial axis structure of the surface. The medial axis of the surface is organized as a graph structure and the closeness of the medial axis graph to points of instability (transitions) is used to identify those structures, which are most likely due to perturbations. The removal of these structures is our approach to regularizing both the medial axis and the surface. This paper focuses on a subset of medial transitions arising from protrusions and the method is illustrated for a few synthetic and real images.</abstract><pub>IEEE</pub><doi>10.1109/ICPR.2004.1334484</doi><oa>free_for_read</oa></addata></record> |
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subjects | Data engineering Electric shock Image reconstruction Laser transitions Mathematics Object detection Smoothing methods Surface emitting lasers Surface morphology Surface reconstruction |
title | Towards surface regularization via medial axis transitions |
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