/On 3D shape similarity

On 3D shape similarity

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

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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.

BibTeX Reference
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)},
year = {1996},
month = {June},
pages = {526 - 531},