Deformable 3d shape retrieval using a spectral geometric descriptor

Abstract In this paper, we propose a deformable 3D shape matching and retrieval approach using a spectral skeleton that encodes nonrigid object structures. This spectral skeleton is constructed from the second eigenfunction of the Laplace-Beltrami operator defined on the surface of a 3D shape, and t...
Ausführliche Beschreibung

Gespeichert in:

Autor*in:	Mohamed, Waleed [verfasserIn] Hamza, A. Ben [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2016

Schlagwörter:	Spectral reeb graph Laplace-Beltrami Shortest path Retrieval

Übergeordnetes Werk:	Enthalten in: Applied intelligence - Dordrecht [u.a.] : Springer Science + Business Media B.V, 1991, 45(2016), 2 vom: 15. Feb., Seite 213-229
Übergeordnetes Werk:	volume:45 ; year:2016 ; number:2 ; day:15 ; month:02 ; pages:213-229

Links:	Volltext

DOI / URN:	10.1007/s10489-015-0746-y

Katalog-ID:	SPR01043996X

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520			\|a Abstract In this paper, we propose a deformable 3D shape matching and retrieval approach using a spectral skeleton that encodes nonrigid object structures. This spectral skeleton is constructed from the second eigenfunction of the Laplace-Beltrami operator defined on the surface of a 3D shape, and thus it is invariant to isometric transformations. In addition to its intrinsic property, our proposed shape descriptor is compact, robust to noise, discriminative, and efficient to compute. We also present a graph matching framework by comparing the shortest paths between skeleton endpoints. Extensive experimental results demonstrate the feasibility of the proposed shape retrieval approach on three standard benchmarks of nonrigid 3D shapes.
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hierarchy_sort_str	2016
bklnumber	54.72 30.20
publishDate	2016
allfields	10.1007/s10489-015-0746-y doi (DE-627)SPR01043996X (SPR)s10489-015-0746-y-e DE-627 ger DE-627 rakwb eng 004 ASE 54.72 bkl 30.20 bkl Mohamed, Waleed verfasserin aut Deformable 3d shape retrieval using a spectral geometric descriptor 2016 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In this paper, we propose a deformable 3D shape matching and retrieval approach using a spectral skeleton that encodes nonrigid object structures. This spectral skeleton is constructed from the second eigenfunction of the Laplace-Beltrami operator defined on the surface of a 3D shape, and thus it is invariant to isometric transformations. In addition to its intrinsic property, our proposed shape descriptor is compact, robust to noise, discriminative, and efficient to compute. We also present a graph matching framework by comparing the shortest paths between skeleton endpoints. Extensive experimental results demonstrate the feasibility of the proposed shape retrieval approach on three standard benchmarks of nonrigid 3D shapes. Spectral reeb graph (dpeaa)DE-He213 Laplace-Beltrami (dpeaa)DE-He213 Shortest path (dpeaa)DE-He213 Retrieval (dpeaa)DE-He213 Hamza, A. Ben verfasserin aut Enthalten in Applied intelligence Dordrecht [u.a.] : Springer Science + Business Media B.V, 1991 45(2016), 2 vom: 15. Feb., Seite 213-229 (DE-627)271180919 (DE-600)1479519-X 1573-7497 nnns volume:45 year:2016 number:2 day:15 month:02 pages:213-229 https://dx.doi.org/10.1007/s10489-015-0746-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 54.72 ASE 30.20 ASE AR 45 2016 2 15 02 213-229
spelling	10.1007/s10489-015-0746-y doi (DE-627)SPR01043996X (SPR)s10489-015-0746-y-e DE-627 ger DE-627 rakwb eng 004 ASE 54.72 bkl 30.20 bkl Mohamed, Waleed verfasserin aut Deformable 3d shape retrieval using a spectral geometric descriptor 2016 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In this paper, we propose a deformable 3D shape matching and retrieval approach using a spectral skeleton that encodes nonrigid object structures. This spectral skeleton is constructed from the second eigenfunction of the Laplace-Beltrami operator defined on the surface of a 3D shape, and thus it is invariant to isometric transformations. In addition to its intrinsic property, our proposed shape descriptor is compact, robust to noise, discriminative, and efficient to compute. We also present a graph matching framework by comparing the shortest paths between skeleton endpoints. Extensive experimental results demonstrate the feasibility of the proposed shape retrieval approach on three standard benchmarks of nonrigid 3D shapes. Spectral reeb graph (dpeaa)DE-He213 Laplace-Beltrami (dpeaa)DE-He213 Shortest path (dpeaa)DE-He213 Retrieval (dpeaa)DE-He213 Hamza, A. Ben verfasserin aut Enthalten in Applied intelligence Dordrecht [u.a.] : Springer Science + Business Media B.V, 1991 45(2016), 2 vom: 15. Feb., Seite 213-229 (DE-627)271180919 (DE-600)1479519-X 1573-7497 nnns volume:45 year:2016 number:2 day:15 month:02 pages:213-229 https://dx.doi.org/10.1007/s10489-015-0746-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 54.72 ASE 30.20 ASE AR 45 2016 2 15 02 213-229
allfields_unstemmed	10.1007/s10489-015-0746-y doi (DE-627)SPR01043996X (SPR)s10489-015-0746-y-e DE-627 ger DE-627 rakwb eng 004 ASE 54.72 bkl 30.20 bkl Mohamed, Waleed verfasserin aut Deformable 3d shape retrieval using a spectral geometric descriptor 2016 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In this paper, we propose a deformable 3D shape matching and retrieval approach using a spectral skeleton that encodes nonrigid object structures. This spectral skeleton is constructed from the second eigenfunction of the Laplace-Beltrami operator defined on the surface of a 3D shape, and thus it is invariant to isometric transformations. In addition to its intrinsic property, our proposed shape descriptor is compact, robust to noise, discriminative, and efficient to compute. We also present a graph matching framework by comparing the shortest paths between skeleton endpoints. Extensive experimental results demonstrate the feasibility of the proposed shape retrieval approach on three standard benchmarks of nonrigid 3D shapes. Spectral reeb graph (dpeaa)DE-He213 Laplace-Beltrami (dpeaa)DE-He213 Shortest path (dpeaa)DE-He213 Retrieval (dpeaa)DE-He213 Hamza, A. Ben verfasserin aut Enthalten in Applied intelligence Dordrecht [u.a.] : Springer Science + Business Media B.V, 1991 45(2016), 2 vom: 15. Feb., Seite 213-229 (DE-627)271180919 (DE-600)1479519-X 1573-7497 nnns volume:45 year:2016 number:2 day:15 month:02 pages:213-229 https://dx.doi.org/10.1007/s10489-015-0746-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 54.72 ASE 30.20 ASE AR 45 2016 2 15 02 213-229
allfieldsGer	10.1007/s10489-015-0746-y doi (DE-627)SPR01043996X (SPR)s10489-015-0746-y-e DE-627 ger DE-627 rakwb eng 004 ASE 54.72 bkl 30.20 bkl Mohamed, Waleed verfasserin aut Deformable 3d shape retrieval using a spectral geometric descriptor 2016 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In this paper, we propose a deformable 3D shape matching and retrieval approach using a spectral skeleton that encodes nonrigid object structures. This spectral skeleton is constructed from the second eigenfunction of the Laplace-Beltrami operator defined on the surface of a 3D shape, and thus it is invariant to isometric transformations. In addition to its intrinsic property, our proposed shape descriptor is compact, robust to noise, discriminative, and efficient to compute. We also present a graph matching framework by comparing the shortest paths between skeleton endpoints. Extensive experimental results demonstrate the feasibility of the proposed shape retrieval approach on three standard benchmarks of nonrigid 3D shapes. Spectral reeb graph (dpeaa)DE-He213 Laplace-Beltrami (dpeaa)DE-He213 Shortest path (dpeaa)DE-He213 Retrieval (dpeaa)DE-He213 Hamza, A. Ben verfasserin aut Enthalten in Applied intelligence Dordrecht [u.a.] : Springer Science + Business Media B.V, 1991 45(2016), 2 vom: 15. Feb., Seite 213-229 (DE-627)271180919 (DE-600)1479519-X 1573-7497 nnns volume:45 year:2016 number:2 day:15 month:02 pages:213-229 https://dx.doi.org/10.1007/s10489-015-0746-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 54.72 ASE 30.20 ASE AR 45 2016 2 15 02 213-229
allfieldsSound	10.1007/s10489-015-0746-y doi (DE-627)SPR01043996X (SPR)s10489-015-0746-y-e DE-627 ger DE-627 rakwb eng 004 ASE 54.72 bkl 30.20 bkl Mohamed, Waleed verfasserin aut Deformable 3d shape retrieval using a spectral geometric descriptor 2016 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In this paper, we propose a deformable 3D shape matching and retrieval approach using a spectral skeleton that encodes nonrigid object structures. This spectral skeleton is constructed from the second eigenfunction of the Laplace-Beltrami operator defined on the surface of a 3D shape, and thus it is invariant to isometric transformations. In addition to its intrinsic property, our proposed shape descriptor is compact, robust to noise, discriminative, and efficient to compute. We also present a graph matching framework by comparing the shortest paths between skeleton endpoints. Extensive experimental results demonstrate the feasibility of the proposed shape retrieval approach on three standard benchmarks of nonrigid 3D shapes. Spectral reeb graph (dpeaa)DE-He213 Laplace-Beltrami (dpeaa)DE-He213 Shortest path (dpeaa)DE-He213 Retrieval (dpeaa)DE-He213 Hamza, A. Ben verfasserin aut Enthalten in Applied intelligence Dordrecht [u.a.] : Springer Science + Business Media B.V, 1991 45(2016), 2 vom: 15. Feb., Seite 213-229 (DE-627)271180919 (DE-600)1479519-X 1573-7497 nnns volume:45 year:2016 number:2 day:15 month:02 pages:213-229 https://dx.doi.org/10.1007/s10489-015-0746-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 54.72 ASE 30.20 ASE AR 45 2016 2 15 02 213-229
language	English
source	Enthalten in Applied intelligence 45(2016), 2 vom: 15. Feb., Seite 213-229 volume:45 year:2016 number:2 day:15 month:02 pages:213-229
sourceStr	Enthalten in Applied intelligence 45(2016), 2 vom: 15. Feb., Seite 213-229 volume:45 year:2016 number:2 day:15 month:02 pages:213-229
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	Spectral reeb graph Laplace-Beltrami Shortest path Retrieval
dewey-raw	004
isfreeaccess_bool	false
container_title	Applied intelligence
authorswithroles_txt_mv	Mohamed, Waleed @@aut@@ Hamza, A. Ben @@aut@@
publishDateDaySort_date	2016-02-15T00:00:00Z
hierarchy_top_id	271180919
dewey-sort	14
id	SPR01043996X
language_de	englisch
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author	Mohamed, Waleed
spellingShingle	Mohamed, Waleed ddc 004 bkl 54.72 bkl 30.20 misc Spectral reeb graph misc Laplace-Beltrami misc Shortest path misc Retrieval Deformable 3d shape retrieval using a spectral geometric descriptor
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topic_title	004 ASE 54.72 bkl 30.20 bkl Deformable 3d shape retrieval using a spectral geometric descriptor Spectral reeb graph (dpeaa)DE-He213 Laplace-Beltrami (dpeaa)DE-He213 Shortest path (dpeaa)DE-He213 Retrieval (dpeaa)DE-He213
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title	Deformable 3d shape retrieval using a spectral geometric descriptor
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title_full	Deformable 3d shape retrieval using a spectral geometric descriptor
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title_sort	deformable 3d shape retrieval using a spectral geometric descriptor
title_auth	Deformable 3d shape retrieval using a spectral geometric descriptor
abstract	Abstract In this paper, we propose a deformable 3D shape matching and retrieval approach using a spectral skeleton that encodes nonrigid object structures. This spectral skeleton is constructed from the second eigenfunction of the Laplace-Beltrami operator defined on the surface of a 3D shape, and thus it is invariant to isometric transformations. In addition to its intrinsic property, our proposed shape descriptor is compact, robust to noise, discriminative, and efficient to compute. We also present a graph matching framework by comparing the shortest paths between skeleton endpoints. Extensive experimental results demonstrate the feasibility of the proposed shape retrieval approach on three standard benchmarks of nonrigid 3D shapes.
abstractGer	Abstract In this paper, we propose a deformable 3D shape matching and retrieval approach using a spectral skeleton that encodes nonrigid object structures. This spectral skeleton is constructed from the second eigenfunction of the Laplace-Beltrami operator defined on the surface of a 3D shape, and thus it is invariant to isometric transformations. In addition to its intrinsic property, our proposed shape descriptor is compact, robust to noise, discriminative, and efficient to compute. We also present a graph matching framework by comparing the shortest paths between skeleton endpoints. Extensive experimental results demonstrate the feasibility of the proposed shape retrieval approach on three standard benchmarks of nonrigid 3D shapes.
abstract_unstemmed	Abstract In this paper, we propose a deformable 3D shape matching and retrieval approach using a spectral skeleton that encodes nonrigid object structures. This spectral skeleton is constructed from the second eigenfunction of the Laplace-Beltrami operator defined on the surface of a 3D shape, and thus it is invariant to isometric transformations. In addition to its intrinsic property, our proposed shape descriptor is compact, robust to noise, discriminative, and efficient to compute. We also present a graph matching framework by comparing the shortest paths between skeleton endpoints. Extensive experimental results demonstrate the feasibility of the proposed shape retrieval approach on three standard benchmarks of nonrigid 3D shapes.
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title_short	Deformable 3d shape retrieval using a spectral geometric descriptor
url	https://dx.doi.org/10.1007/s10489-015-0746-y
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up_date	2024-07-03T16:07:31.208Z
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fullrecord_marcxml	<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">SPR01043996X</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20220110220531.0</controlfield><controlfield tag="007">cr uuu---uuuuu</controlfield><controlfield tag="008">201005s2016 xx \|\|\|\|\|o 00\| \|\|eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/s10489-015-0746-y</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)SPR01043996X</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(SPR)s10489-015-0746-y-e</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">004</subfield><subfield code="q">ASE</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">54.72</subfield><subfield code="2">bkl</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">30.20</subfield><subfield code="2">bkl</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Mohamed, Waleed</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Deformable 3d shape retrieval using a spectral geometric descriptor</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2016</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">Computermedien</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Online-Ressource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract In this paper, we propose a deformable 3D shape matching and retrieval approach using a spectral skeleton that encodes nonrigid object structures. This spectral skeleton is constructed from the second eigenfunction of the Laplace-Beltrami operator defined on the surface of a 3D shape, and thus it is invariant to isometric transformations. In addition to its intrinsic property, our proposed shape descriptor is compact, robust to noise, discriminative, and efficient to compute. We also present a graph matching framework by comparing the shortest paths between skeleton endpoints. Extensive experimental results demonstrate the feasibility of the proposed shape retrieval approach on three standard benchmarks of nonrigid 3D shapes.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Spectral reeb graph</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Laplace-Beltrami</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Shortest path</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Retrieval</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Hamza, A. 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Deformable 3d shape retrieval using a spectral geometric descriptor

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