ML Anthology

A Topological Method for Shape Comparison

Tigran Ishkhanov
CVPRW 2008 pp. 1-4
doi:10.1109/CVPRW.2008.4563076 /cvprw/2008/ishkhanov2008cvprw-topological/

Abstract

We develop a topology-based method which can be used as a measure of the dissimilarity between shapes. For us, a shape is a point cloud dataset in Euclidean space. In the experiments described in this paper a shape comes with a particular choice of triangulation (mesh). However, the method can be applied to a more general situation when no particular triangulation is given. We test our method on a database of models achieving only a minor misclassification error.

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Cite

Text

Ishkhanov. "A Topological Method for Shape Comparison." IEEE/CVF Conference on Computer Vision and Pattern Recognition Workshops, 2008. doi:10.1109/CVPRW.2008.4563076

Markdown

[Ishkhanov. "A Topological Method for Shape Comparison." IEEE/CVF Conference on Computer Vision and Pattern Recognition Workshops, 2008.](https://mlanthology.org/cvprw/2008/ishkhanov2008cvprw-topological/) doi:10.1109/CVPRW.2008.4563076

BibTeX

@inproceedings{ishkhanov2008cvprw-topological,
  title     = {{A Topological Method for Shape Comparison}},
  author    = {Ishkhanov, Tigran},
  booktitle = {IEEE/CVF Conference on Computer Vision and Pattern Recognition Workshops},
  year      = {2008},
  pages     = {1-4},
  doi       = {10.1109/CVPRW.2008.4563076},
  url       = {https://mlanthology.org/cvprw/2008/ishkhanov2008cvprw-topological/}
}