Recognizing Algebraic Surfaces from Their Outlines

Forsyth, David A.

doi:10.1109/ICCV.1993.378177

Recognizing Algebraic Surfaces from Their Outlines

David A. Forsyth

ICCV 1993 pp. 476-480

doi:10.1109/ICCV.1993.378177 /iccv/1993/forsyth1993iccv-recognizing/

Abstract

The author shows that the projective invariants of an algebraic surface can be computed from the outline of that surface in a perspective view using an uncalibrated camera, by showing that an outline completely determines the projective geometry of an algebraic surface. A single perspective view of a generic algebraic surface of degree three or greater uniquely determines the projective geometry of the surface. The result holds for an unknown focal point, and an uncalibrated camera. The projective ambiguity is not improved by using a calibrated camera.< <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

Forsyth. "Recognizing Algebraic Surfaces from Their Outlines." IEEE/CVF International Conference on Computer Vision, 1993. doi:10.1109/ICCV.1993.378177

Markdown

[Forsyth. "Recognizing Algebraic Surfaces from Their Outlines." IEEE/CVF International Conference on Computer Vision, 1993.](https://mlanthology.org/iccv/1993/forsyth1993iccv-recognizing/) doi:10.1109/ICCV.1993.378177

BibTeX

@inproceedings{forsyth1993iccv-recognizing,
  title     = {{Recognizing Algebraic Surfaces from Their Outlines}},
  author    = {Forsyth, David A.},
  booktitle = {IEEE/CVF International Conference on Computer Vision},
  year      = {1993},
  pages     = {476-480},
  doi       = {10.1109/ICCV.1993.378177},
  url       = {https://mlanthology.org/iccv/1993/forsyth1993iccv-recognizing/}
}