The ideal of the trifocal variety

Techniques from representation theory, symbolic computational algebra, and numerical algebraic geometry are used to find the minimal generators of the ideal of the trifocal variety. An effective test for determining whether a given tensor is a trifocal tensor is also given.

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Bibliographic Details
Published in:	Mathematics of computation Vol. 83; no. 289; pp. 2553 - 2574
Main Authors:	AHOLT, CHRIS, OEDING, LUKE
Format:	Journal Article
Language:	English
Published:	American Mathematical Society 01-09-2014
Subjects:	Algebra Coordinate systems Degrees of polynomials Geometric planes Geometry Mathematical theorems Oblateness Partially ordered sets Polynomials Tensors
Online Access:	Get full text
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Description
Summary:	Techniques from representation theory, symbolic computational algebra, and numerical algebraic geometry are used to find the minimal generators of the ideal of the trifocal variety. An effective test for determining whether a given tensor is a trifocal tensor is also given.
ISSN:	0025-5718 1088-6842
DOI:	10.1090/S0025-5718-2014-02842-1