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A Non‐Iterative Algorithm for Determining All Essential Matrices Corresponding to Five Point Pairs
Author(s) -
Philip J.
Publication year - 1996
Publication title -
the photogrammetric record
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.638
H-Index - 51
eISSN - 1477-9730
pISSN - 0031-868X
DOI - 10.1111/0031-868x.00066
Subject(s) - point (geometry) , algorithm , matrix (chemical analysis) , field (mathematics) , mathematics , photogrammetry , computer science , artificial intelligence , geometry , pure mathematics , materials science , composite material
This paper describes how to calculate all the essential matrices corresponding to five matched point pairs. Statistics are presented from tests with synthetic data and an example is given which has six solutions. A linear method for six point pairs is also described; the resultant essential matrix is uniquely determined by the six point pairs because the method is linear. The author also reviews some results, that have applications to photogrammetry, from other researchers in this field.