Hierarchic shape description via singularity and multiscaling
We introduce a new concept of ridges, ravines and related structures (skeletons) associated with surfaces in three-dimensional space that generalizes the medial axis transformation approach. The concept is based on singularity theory and involves both local and global geometric properties of the sur...
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| creator | Kunii, T.L. Belyaev, A.G. Anoshkina, E.V. Takahashi, S. Huang, R. Okunev, O.G. |
| description | We introduce a new concept of ridges, ravines and related structures (skeletons) associated with surfaces in three-dimensional space that generalizes the medial axis transformation approach. The concept is based on singularity theory and involves both local and global geometric properties of the surface; it is invariant with respect to translations and rotations of the surface. It leads to a method of hierarchic description of surfaces that yields new approaches to shape coding, rendering and design. The extraction of the features is based on differential geometry of surfaces with consequent segregation via multiscale analysis. Terrain feature recognition, dental shape reconstruction and medical imagery are a partial list of applications.< > |
| doi_str_mv | 10.1109/CMPSAC.1994.342797 |
| format | Conference Proceeding |
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Terrain feature recognition, dental shape reconstruction and medical imagery are a partial list of applications.< ></description><subject>Biomedical imaging</subject><subject>Dentistry</subject><subject>Feature extraction</subject><subject>Geometry</subject><subject>Image recognition</subject><subject>Image reconstruction</subject><subject>Rendering (computer graphics)</subject><subject>Shape</subject><subject>Skeleton</subject><subject>Surface reconstruction</subject><isbn>0818667052</isbn><isbn>9780818667053</isbn><fulltext>true</fulltext><rsrctype>conference_proceeding</rsrctype><creationdate>1994</creationdate><recordtype>conference_proceeding</recordtype><sourceid>6IE</sourceid><sourceid>RIE</sourceid><recordid>eNotj81Kw0AURgdEUGtfoKt5gcS58z8LFyWoFSoK6rrcTCb2SlrDTCr07S3Ub3PgLA58jC1A1AAi3DUvb-_LpoYQdK20dMFdsBvhwVvrhJFXbF7KtzhNGwjOXrP7FaWMOW4p8rLFMfEulZhpnOhnz38JeaH912HATNOR477ju8MwUYk4nPwtu-xxKGn-zxn7fHz4aFbV-vXpuVmuKwKhp8qDBW21aXuvnOlFbywq2YFojeqDEQApuChBKwTpNUbfeumS0BaS8cGrGVucu5RS2oyZdpiPm_NB9QcUl0Xt</recordid><startdate>1994</startdate><enddate>1994</enddate><creator>Kunii, T.L.</creator><creator>Belyaev, A.G.</creator><creator>Anoshkina, E.V.</creator><creator>Takahashi, S.</creator><creator>Huang, R.</creator><creator>Okunev, O.G.</creator><general>IEEE Comput. Soc. Press</general><scope>6IE</scope><scope>6IL</scope><scope>CBEJK</scope><scope>RIE</scope><scope>RIL</scope></search><sort><creationdate>1994</creationdate><title>Hierarchic shape description via singularity and multiscaling</title><author>Kunii, T.L. ; Belyaev, A.G. ; Anoshkina, E.V. ; Takahashi, S. ; Huang, R. ; Okunev, O.G.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-i104t-81614645bf8375f0f56a32d10b53f95011e97c2143a1284ac8b827e0461e58983</frbrgroupid><rsrctype>conference_proceedings</rsrctype><prefilter>conference_proceedings</prefilter><language>eng</language><creationdate>1994</creationdate><topic>Biomedical imaging</topic><topic>Dentistry</topic><topic>Feature extraction</topic><topic>Geometry</topic><topic>Image recognition</topic><topic>Image reconstruction</topic><topic>Rendering (computer graphics)</topic><topic>Shape</topic><topic>Skeleton</topic><topic>Surface reconstruction</topic><toplevel>online_resources</toplevel><creatorcontrib>Kunii, T.L.</creatorcontrib><creatorcontrib>Belyaev, A.G.</creatorcontrib><creatorcontrib>Anoshkina, E.V.</creatorcontrib><creatorcontrib>Takahashi, S.</creatorcontrib><creatorcontrib>Huang, R.</creatorcontrib><creatorcontrib>Okunev, O.G.</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>Kunii, T.L.</au><au>Belyaev, A.G.</au><au>Anoshkina, E.V.</au><au>Takahashi, S.</au><au>Huang, R.</au><au>Okunev, O.G.</au><format>book</format><genre>proceeding</genre><ristype>CONF</ristype><atitle>Hierarchic shape description via singularity and multiscaling</atitle><btitle>Proceedings Eighteenth Annual International Computer Software and Applications Conference (COMPSAC 94)</btitle><stitle>CMPSAC</stitle><date>1994</date><risdate>1994</risdate><spage>242</spage><epage>251</epage><pages>242-251</pages><isbn>0818667052</isbn><isbn>9780818667053</isbn><abstract>We introduce a new concept of ridges, ravines and related structures (skeletons) associated with surfaces in three-dimensional space that generalizes the medial axis transformation approach. The concept is based on singularity theory and involves both local and global geometric properties of the surface; it is invariant with respect to translations and rotations of the surface. It leads to a method of hierarchic description of surfaces that yields new approaches to shape coding, rendering and design. The extraction of the features is based on differential geometry of surfaces with consequent segregation via multiscale analysis. Terrain feature recognition, dental shape reconstruction and medical imagery are a partial list of applications.< ></abstract><pub>IEEE Comput. Soc. Press</pub><doi>10.1109/CMPSAC.1994.342797</doi><tpages>10</tpages></addata></record> |
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| ispartof | Proceedings Eighteenth Annual International Computer Software and Applications Conference (COMPSAC 94), 1994, p.242-251 |
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| language | eng |
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| source | IEEE Electronic Library (IEL) Conference Proceedings |
| subjects | Biomedical imaging Dentistry Feature extraction Geometry Image recognition Image reconstruction Rendering (computer graphics) Shape Skeleton Surface reconstruction |
| title | Hierarchic shape description via singularity and multiscaling |
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