On 3D shape similarity

Heung-Yeung Shum, Martial Hebert, and Katsushi Ikeuchi
Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition (CVPR '96), June, 1996, pp. 526 - 531.


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Abstract
This paper addresses the problem of 3D shape similarity between closed surfaces. A curved or polyhedral 3D object of genus zero is represented by a mesh that has nearly uniform distribution with known connectivity among mesh nodes. A shape similarity metric is defined based on the L/sub 2/ distance between the local curvature distributions over the mesh representations of the two objects. For both convex and concave objects, the shape metric can be computed in time O(n/sup 2/), where n is the number of tessellations of the sphere or the number of meshes which approximate the surface. Experiments show that our method produces good shape similarity measurements.

Notes

Text Reference
Heung-Yeung Shum, Martial Hebert, and Katsushi Ikeuchi, "On 3D shape similarity," Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition (CVPR '96), June, 1996, pp. 526 - 531.

BibTeX Reference
@inproceedings{Shum_1996_3605,
   author = "Heung-Yeung Shum and Martial Hebert and Katsushi Ikeuchi",
   title = "On 3D shape similarity",
   booktitle = "Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition (CVPR '96)",
   pages = "526 - 531",
   month = "June",
   year = "1996",
}