ML Anthology

On 3D Shape Similarity

Heung-Yeung Shum, Martial Hebert, Katsushi Ikeuchi
CVPR 1996 pp. 526-531
doi:10.1109/CVPR.1996.517122 /cvpr/1996/shum1996cvpr-d/

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.

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Cite

Text

Shum et al. "On 3D Shape Similarity." IEEE/CVF Conference on Computer Vision and Pattern Recognition, 1996. doi:10.1109/CVPR.1996.517122

Markdown

[Shum et al. "On 3D Shape Similarity." IEEE/CVF Conference on Computer Vision and Pattern Recognition, 1996.](https://mlanthology.org/cvpr/1996/shum1996cvpr-d/) doi:10.1109/CVPR.1996.517122

BibTeX

@inproceedings{shum1996cvpr-d,
  title     = {{On 3D Shape Similarity}},
  author    = {Shum, Heung-Yeung and Hebert, Martial and Ikeuchi, Katsushi},
  booktitle = {IEEE/CVF Conference on Computer Vision and Pattern Recognition},
  year      = {1996},
  pages     = {526-531},
  doi       = {10.1109/CVPR.1996.517122},
  url       = {https://mlanthology.org/cvpr/1996/shum1996cvpr-d/}
}