The Robotics Institute

Carnegie Mellon Robotics Institute

Copyright notice: This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. These works may not be reposted without the explicit permission of the copyright holder.

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",
}

The Robotics Institute

Menu