Invariants of Three-Dimensional Contours

Lin, Chun-Shin

doi:10.1109/CVPR.1988.196250

Invariants of Three-Dimensional Contours

Chun-Shin Lin

CVPR 1988 pp. 286-290

doi:10.1109/CVPR.1988.196250 /cvpr/1988/lin1988cvpr-invariants/

Abstract

Invariants of three-dimensional contours are derived from the elliptic Fourier descriptor. A 3-D closed curve is described by a set of feature ellipses in 3-D space. These feature ellipses will have fixed lengths of major and minor axes no matter where the contour is located. Besides, the relative orientations among the ellipses will not vary. The derived invariants are implicit functions of these axes lengths as well as the angles defining the relative orientations. These invariants can be used for object recognition without having the complete surface data.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">></ETX>

CVPR Semantic Scholar

Cite

Text

Lin. "Invariants of Three-Dimensional Contours." IEEE/CVF Conference on Computer Vision and Pattern Recognition, 1988. doi:10.1109/CVPR.1988.196250

Markdown

[Lin. "Invariants of Three-Dimensional Contours." IEEE/CVF Conference on Computer Vision and Pattern Recognition, 1988.](https://mlanthology.org/cvpr/1988/lin1988cvpr-invariants/) doi:10.1109/CVPR.1988.196250

BibTeX

@inproceedings{lin1988cvpr-invariants,
  title     = {{Invariants of Three-Dimensional Contours}},
  author    = {Lin, Chun-Shin},
  booktitle = {IEEE/CVF Conference on Computer Vision and Pattern Recognition},
  year      = {1988},
  pages     = {286-290},
  doi       = {10.1109/CVPR.1988.196250},
  url       = {https://mlanthology.org/cvpr/1988/lin1988cvpr-invariants/}
}