ML Anthology

Fingerprint Theorems for Curvature and Torsion Zero-Crossings

Farzin Mokhtarian
CVPR 1989 pp. 269-275
doi:10.1109/CVPR.1989.37860 /cvpr/1989/mokhtarian1989cvpr-fingerprint/

Abstract

It has been shown by A.L. Yuille and T. Poggio (1983) that the scale-space image of a signal determines that signal uniquely up to constant scaling. Here, generalization of the proof given by Yuille and Poggio is presented. It is shown that the curvature scale-space image of a planar curvature determines the curvature uniquely, up to constant scaling and a rigid motion. The results show that a 1-D signal can be reconstructed using only one point from its scale-space image. This is an improvement of the result obtained by Yuille and Poggio.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>

CVPR Semantic Scholar

Cite

Text

Mokhtarian. "Fingerprint Theorems for Curvature and Torsion Zero-Crossings." IEEE/CVF Conference on Computer Vision and Pattern Recognition, 1989. doi:10.1109/CVPR.1989.37860

Markdown

[Mokhtarian. "Fingerprint Theorems for Curvature and Torsion Zero-Crossings." IEEE/CVF Conference on Computer Vision and Pattern Recognition, 1989.](https://mlanthology.org/cvpr/1989/mokhtarian1989cvpr-fingerprint/) doi:10.1109/CVPR.1989.37860

BibTeX

@inproceedings{mokhtarian1989cvpr-fingerprint,
  title     = {{Fingerprint Theorems for Curvature and Torsion Zero-Crossings}},
  author    = {Mokhtarian, Farzin},
  booktitle = {IEEE/CVF Conference on Computer Vision and Pattern Recognition},
  year      = {1989},
  pages     = {269-275},
  doi       = {10.1109/CVPR.1989.37860},
  url       = {https://mlanthology.org/cvpr/1989/mokhtarian1989cvpr-fingerprint/}
}