Recognizing algebraic surfaces from their outlines

Research output: Contribution to journalArticle

Abstract

The outline in a single picture of a generic algebraic surface of degree three or greater completely determines the projective geometry of the surface. The result holds for a generic perspective view of a generic algebraic surface, where the camera calibration parameters and the focal point are unknown. Known camera calibration appears not to reduce the projective ambiguity. The result is constructive.

Original languageEnglish (US)
Pages (from-to)21-40
Number of pages20
JournalInternational Journal of Computer Vision
Volume18
Issue number1
DOIs
StatePublished - Jan 1 1996
Externally publishedYes

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Cameras
Calibration
Geometry

Keywords

  • Algebraic surfaces
  • Computer vision
  • Invariant theory
  • Outlines
  • Recognition

ASJC Scopus subject areas

  • Software
  • Computer Vision and Pattern Recognition
  • Artificial Intelligence

Cite this

Recognizing algebraic surfaces from their outlines. / Forsyth, David Alexander.

In: International Journal of Computer Vision, Vol. 18, No. 1, 01.01.1996, p. 21-40.

Research output: Contribution to journalArticle

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