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Properties of essential matrices

✍ Scribed by S. J. Maybank

Publisher
John Wiley and Sons
Year
1990
Tongue
English
Weight
437 KB
Volume
2
Category
Article
ISSN
0899-9457

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✦ Synopsis

We use essential matrices to show that if the recovery of camera displacement from image correspondences is unstable, then a small perturbation yields an ambiguous set of correspondences. We show that there are at most three camera displacements compatible with a dense set of correspondences, and we show that the symmetric and the antisymmetric parts of an essential matrix are related

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A square matrix A = (aij) over a commutative linearly ordered group (G, \*, s) is said to have the Monge property if aii \* ay < aij \*ski holds for all i and for all j, k > i. We present an O(n4) algorithm for checking whether the rows and columns of a given matrix can be permuted in such a way tha