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Article: A Fast Modal Space Transform for Robust Nonrigid Shape Retrieval
Title | A Fast Modal Space Transform for Robust Nonrigid Shape Retrieval |
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Authors | |
Keywords | Biharmonic distance Content-based object retrieval Functional map Shape retrieval Shape signature |
Issue Date | 2016 |
Publisher | Springer Verlag. The Journal's web site is located at http://link.springer.de/link/service/journals/00371/index.htm |
Citation | The Visual Computer, 2016, v. 32 n. 5, p. 553-568 How to Cite? |
Abstract | Nonrigid or deformable 3D objects are common in many application domains. Retrieval of such objects in large databases based on shape similarity is still a challenging problem. In this paper, we take advantages of functional operators as characterizations of shape deformation, and further propose a framework to design novel shape signatures for encoding nonrigid geometries. Our approach constructs a context-aware integral kernel operator on a manifold, then applies modal analysis to map this operator into a low-frequency functional representation, called fast functional transform, and finally computes its spectrum as the shape signature. In a nutshell, our method is fast, isometry-invariant, discriminative, smooth and numerically stable with respect to multiple types of perturbations. Experimental results demonstrate that our new shape signature for nonrigid objects can outperform all methods participating in the nonrigid track of the SHREC’11 contest. It is also the second best performing method in the real human model track of SHREC’14. |
Persistent Identifier | http://hdl.handle.net/10722/215522 |
ISSN | 2023 Impact Factor: 3.0 2023 SCImago Journal Rankings: 0.778 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Ye, J | - |
dc.contributor.author | Yu, Y | - |
dc.date.accessioned | 2015-08-21T13:28:51Z | - |
dc.date.available | 2015-08-21T13:28:51Z | - |
dc.date.issued | 2016 | - |
dc.identifier.citation | The Visual Computer, 2016, v. 32 n. 5, p. 553-568 | - |
dc.identifier.issn | 0178-2789 | - |
dc.identifier.uri | http://hdl.handle.net/10722/215522 | - |
dc.description.abstract | Nonrigid or deformable 3D objects are common in many application domains. Retrieval of such objects in large databases based on shape similarity is still a challenging problem. In this paper, we take advantages of functional operators as characterizations of shape deformation, and further propose a framework to design novel shape signatures for encoding nonrigid geometries. Our approach constructs a context-aware integral kernel operator on a manifold, then applies modal analysis to map this operator into a low-frequency functional representation, called fast functional transform, and finally computes its spectrum as the shape signature. In a nutshell, our method is fast, isometry-invariant, discriminative, smooth and numerically stable with respect to multiple types of perturbations. Experimental results demonstrate that our new shape signature for nonrigid objects can outperform all methods participating in the nonrigid track of the SHREC’11 contest. It is also the second best performing method in the real human model track of SHREC’14. | - |
dc.language | eng | - |
dc.publisher | Springer Verlag. The Journal's web site is located at http://link.springer.de/link/service/journals/00371/index.htm | - |
dc.relation.ispartof | The Visual Computer | - |
dc.rights | The final publication is available at Springer via http://dx.doi.org/10.1007/s00371-015-1071-5 | - |
dc.subject | Biharmonic distance | - |
dc.subject | Content-based object retrieval | - |
dc.subject | Functional map | - |
dc.subject | Shape retrieval | - |
dc.subject | Shape signature | - |
dc.title | A Fast Modal Space Transform for Robust Nonrigid Shape Retrieval | - |
dc.type | Article | - |
dc.identifier.email | Yu, Y: yzyu@cs.hku.hk | - |
dc.identifier.authority | Yu, Y=rp01415 | - |
dc.description.nature | postprint | - |
dc.identifier.doi | 10.1007/s00371-015-1071-5 | - |
dc.identifier.scopus | eid_2-s2.0-84924347261 | - |
dc.identifier.hkuros | 249504 | - |
dc.identifier.volume | 32 | - |
dc.identifier.issue | 5 | - |
dc.identifier.spage | 553 | - |
dc.identifier.epage | 568 | - |
dc.identifier.isi | WOS:000374985800002 | - |
dc.publisher.place | Germany | - |
dc.identifier.issnl | 0178-2789 | - |