Critical surface pairs and triplets

Shahriar Negahdaripour

Research output: Contribution to journalArticlepeer-review

16 Scopus citations


In this paper, we study situations where a perspective image motion field can have multiple interpretations. We show that the ambiguity in interpretation of the three-dimensional instantaneous motion of curved surfaces is at most three-fold, and can occur only in the case of certain hyperboloids of one sheet, saddle surfaces, and hyperbolic paraboloids. We also present analytical expressions for the relationship among multiple interpretations.

Original languageEnglish (US)
Pages (from-to)293-312
Number of pages20
JournalInternational Journal of Computer Vision
Issue number4
StatePublished - Nov 1 1989
Externally publishedYes

ASJC Scopus subject areas

  • Software
  • Computer Vision and Pattern Recognition
  • Artificial Intelligence

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