Critical surface pairs and triplets

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

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
Pages (from-to)293-312
Number of pages20
JournalInternational Journal of Computer Vision
Volume3
Issue number4
DOIs
StatePublished - Nov 1 1989
Externally publishedYes

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Vision and Pattern Recognition
  • Artificial Intelligence

Cite this

Critical surface pairs and triplets. / Negahdaripour, Shahriar.

In: International Journal of Computer Vision, Vol. 3, No. 4, 01.11.1989, p. 293-312.

Research output: Contribution to journalArticle

@article{ba27968841b7450db8378e3021201ab3,
title = "Critical surface pairs and triplets",
abstract = "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.",
author = "Shahriar Negahdaripour",
year = "1989",
month = "11",
day = "1",
doi = "10.1007/BF00132601",
language = "English",
volume = "3",
pages = "293--312",
journal = "International Journal of Computer Vision",
issn = "0920-5691",
publisher = "Springer Netherlands",
number = "4",

}

TY - JOUR

T1 - Critical surface pairs and triplets

AU - Negahdaripour, Shahriar

PY - 1989/11/1

Y1 - 1989/11/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0003173514&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0003173514&partnerID=8YFLogxK

U2 - 10.1007/BF00132601

DO - 10.1007/BF00132601

M3 - Article

AN - SCOPUS:0003173514

VL - 3

SP - 293

EP - 312

JO - International Journal of Computer Vision

JF - International Journal of Computer Vision

SN - 0920-5691

IS - 4

ER -