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Geometric derivations of minimal sets of sufficient multiview constraints

Photogrammetric Record

By:
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DOI: 10.1111/j.1477-9730.2011.00653.x

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Abstract

Geometric interpretations of four of the most common determinant formulations of multiview constraints are given, showing that they all enforce the same geometry and that all of the forms commonly in use in the machine vision community are a subset of a more general form. Generalising the work of Yi Ma yields a new general 2 x 2 determinant trilinear and 3 x 3 determinant quadlinear. Geometric descriptions of degenerate multiview constraints are given, showing that it is necessary, but insufficient, that the determinant equals zero. Understanding the degeneracies leads naturally into proofs for minimum sufficient sets of bilinear, trilinear and quadlinear constraints for arbitrary numbers of conjugate observations.

Additional Publication Details

Publication type:
Article
Publication Subtype:
Journal Article
Title:
Geometric derivations of minimal sets of sufficient multiview constraints
Series title:
Photogrammetric Record
DOI:
10.1111/j.1477-9730.2011.00653.x
Volume
27
Issue:
137
Year Published:
2012
Language:
English
Publisher:
Wiley
Publisher location:
Hoboken, NJ
Contributing office(s):
Astrogeology Science Center
Description:
20 p.
Larger Work Type:
Article
Larger Work Subtype:
Journal Article
Larger Work Title:
Photogrammetric Record
First page:
74
Last page:
93