Medial Spectral Coordinates for 3D Shape Analysis
In recent years there has been a resurgence of interest in our community in the shape analysis of 3D objects repre-sented by surface meshes, their voxelized interiors, or surface point clouds. In part, this interest has been stimulated by the increased availability of RGBD cameras, and by applicatio...
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| Veröffentlicht in: | Proceedings (IEEE Computer Society Conference on Computer Vision and Pattern Recognition. Online) S. 2676 - 2686 |
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01.06.2022
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| Abstract | In recent years there has been a resurgence of interest in our community in the shape analysis of 3D objects repre-sented by surface meshes, their voxelized interiors, or surface point clouds. In part, this interest has been stimulated by the increased availability of RGBD cameras, and by applications of computer vision to autonomous driving, medical imaging, and robotics. In these settings, spectral co-ordinates have shown promise for shape representation due to their ability to incorporate both local and global shape properties in a manner that is qualitatively invariant to iso-metric transformations. Yet, surprisingly, such coordinates have thus far typically considered only local surface positional or derivative information. In the present article, we propose to equip spectral coordinates with medial (object width) information, so as to enrich them. The key idea is to couple surface points that share a medial ball, via the weights of the adjacency matrix. We develop a spectral feature using this idea, and the algorithms to compute it. The incorporation of object width and medial coupling has direct benefits, as illustrated by our experiments on object classification, object part segmentation, and surface point correspondence. |
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| AbstractList | In recent years there has been a resurgence of interest in our community in the shape analysis of 3D objects repre-sented by surface meshes, their voxelized interiors, or surface point clouds. In part, this interest has been stimulated by the increased availability of RGBD cameras, and by applications of computer vision to autonomous driving, medical imaging, and robotics. In these settings, spectral co-ordinates have shown promise for shape representation due to their ability to incorporate both local and global shape properties in a manner that is qualitatively invariant to iso-metric transformations. Yet, surprisingly, such coordinates have thus far typically considered only local surface positional or derivative information. In the present article, we propose to equip spectral coordinates with medial (object width) information, so as to enrich them. The key idea is to couple surface points that share a medial ball, via the weights of the adjacency matrix. We develop a spectral feature using this idea, and the algorithms to compute it. The incorporation of object width and medial coupling has direct benefits, as illustrated by our experiments on object classification, object part segmentation, and surface point correspondence. |
| Author | Rezanejad, Morteza Mahyar, Hamidreza Khodadad, Mohammad Walther, Dirk Gruninger, Michael Lombaert, Herve Siddiqi, Kaleem |
| Author_xml | – sequence: 1 givenname: Morteza surname: Rezanejad fullname: Rezanejad, Morteza organization: University of Toronto,Toronto,Canada – sequence: 2 givenname: Mohammad surname: Khodadad fullname: Khodadad, Mohammad organization: Sharif University of Technology,Tehran,Iran – sequence: 3 givenname: Hamidreza surname: Mahyar fullname: Mahyar, Hamidreza organization: McMaster University,Hamilton,Canada – sequence: 4 givenname: Herve surname: Lombaert fullname: Lombaert, Herve organization: ETS Montréal,Canada – sequence: 5 givenname: Michael surname: Gruninger fullname: Gruninger, Michael organization: University of Toronto,Toronto,Canada – sequence: 6 givenname: Dirk surname: Walther fullname: Walther, Dirk organization: University of Toronto,Toronto,Canada – sequence: 7 givenname: Kaleem surname: Siddiqi fullname: Siddiqi, Kaleem organization: McGill University,Montréal,Canada |
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| Snippet | In recent years there has been a resurgence of interest in our community in the shape analysis of 3D objects repre-sented by surface meshes, their voxelized... |
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| SubjectTerms | categorization Computational modeling Computer vision Deep learning grouping and shape analysis; Recognition: detection Point cloud compression retrieval; Representation learning Segmentation Shape Solid modeling Three-dimensional displays |
| Title | Medial Spectral Coordinates for 3D Shape Analysis |
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