Estimating Three-Dimensional Motion Parameters of a Rigid Planar Patch, III: Finite Point Correspondences and the Three-View Problem

Roger Y. Tsai, Thomas S. Huang

Research output: Contribution to journalArticle

Abstract

Two results are presented in this paper. First, it is shown that in estimating three-dimensional motion of a rigid planar patch, the eight pure parameters used in [1] and [2] are uniquely determined from the image correspondences of four points, no three collinear, and can be estimated by solving a set of linear equations. The second result concerns the three-view problem. It is proved that given four image point correspondences in three perspective views of a planar patch undergoing general three-dimensional rigid body motion, the number of solutions for the motion parameters is one, as opposed to two [2] when only two perspective views are given.

Original languageEnglish (US)
Pages (from-to)213-220
Number of pages8
JournalIEEE Transactions on Acoustics, Speech, and Signal Processing
Volume32
Issue number2
DOIs
StatePublished - Jan 1 1984

ASJC Scopus subject areas

  • Signal Processing

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