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Geometric derivations of minimal sets of sufficient multiview constraints

August 1, 2012

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.

Publication Year 2012
Title Geometric derivations of minimal sets of sufficient multiview constraints
DOI 10.1111/j.1477-9730.2011.00653.x
Authors Orrin H. Thomas, Edward R. Oshel
Publication Type Article
Publication Subtype Journal Article
Series Title Photogrammetric Record
Index ID 70039318
Record Source USGS Publications Warehouse
USGS Organization Astrogeology Science Center