A New Representation for a Line

Roberts, Kenneth S.

doi:10.1109/CVPR.1988.196303

A New Representation for a Line

Kenneth S. Roberts

CVPR 1988 pp. 635-640

doi:10.1109/CVPR.1988.196303 /cvpr/1988/roberts1988cvpr-new/

Abstract

The author presents a representation for a line in Euclidean three-space which uses only four parameters (the minimum number possible). Unlike other four-parameter representations. it has no singularities and special cases. The representation readily generalizes to Euclidean n-space, where it uses 2n-2 parameters. Possible applications include data compression, handling sets of parallel lines, representing kinematic linkages, and optimization problems.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">></ETX>

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Cite

Text

Roberts. "A New Representation for a Line." IEEE/CVF Conference on Computer Vision and Pattern Recognition, 1988. doi:10.1109/CVPR.1988.196303

Markdown

[Roberts. "A New Representation for a Line." IEEE/CVF Conference on Computer Vision and Pattern Recognition, 1988.](https://mlanthology.org/cvpr/1988/roberts1988cvpr-new/) doi:10.1109/CVPR.1988.196303

BibTeX

@inproceedings{roberts1988cvpr-new,
  title     = {{A New Representation for a Line}},
  author    = {Roberts, Kenneth S.},
  booktitle = {IEEE/CVF Conference on Computer Vision and Pattern Recognition},
  year      = {1988},
  pages     = {635-640},
  doi       = {10.1109/CVPR.1988.196303},
  url       = {https://mlanthology.org/cvpr/1988/roberts1988cvpr-new/}
}