ML Anthology

Motion Analysis of Nonrigid Surfaces

Dmitry B. Goldgof, Hua Lee, Thomas S. Huang
CVPR 1988 pp. 375-380
doi:10.1109/CVPR.1988.196262 /cvpr/1988/goldgof1988cvpr-motion/

Abstract

A description is given of a curvature-based approach to motion analysis of nonrigid surfaces. Based on changes in the mean and Gaussian curvatures during the motion, it is possible to classify the motion of a surface at each point as rigid, isometric, homothetic, conformal, and general (nonconformal). The general theory of curvature changes for all types of motions is presented. Then the formula specifying changes in the Gaussian curvature during homothetic motion is derived. Also, two special cases of nonrigid motion are considered. The first case deals with piecewise rigid motion. An algorithm is presented which separates a piecewise rigid surface into its rigid parts. The second case deals with homothetic motion. A method is given to isolate regions of the surface where the homothetic assumption is violated. Both algorithms are tested on simulated data and results.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>

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Cite

Text

Goldgof et al. "Motion Analysis of Nonrigid Surfaces." IEEE/CVF Conference on Computer Vision and Pattern Recognition, 1988. doi:10.1109/CVPR.1988.196262

Markdown

[Goldgof et al. "Motion Analysis of Nonrigid Surfaces." IEEE/CVF Conference on Computer Vision and Pattern Recognition, 1988.](https://mlanthology.org/cvpr/1988/goldgof1988cvpr-motion/) doi:10.1109/CVPR.1988.196262

BibTeX

@inproceedings{goldgof1988cvpr-motion,
  title     = {{Motion Analysis of Nonrigid Surfaces}},
  author    = {Goldgof, Dmitry B. and Lee, Hua and Huang, Thomas S.},
  booktitle = {IEEE/CVF Conference on Computer Vision and Pattern Recognition},
  year      = {1988},
  pages     = {375-380},
  doi       = {10.1109/CVPR.1988.196262},
  url       = {https://mlanthology.org/cvpr/1988/goldgof1988cvpr-motion/}
}