The Chow Form of the Essential Variety in Computer Vision
Algebraic Geometry
2016-07-15 v2 Computer Vision and Pattern Recognition
Commutative Algebra
Abstract
The Chow form of the essential variety in computer vision is calculated. Our derivation uses secant varieties, Ulrich sheaves and representation theory. Numerical experiments show that our formula can detect noisy point correspondences between two images.
Keywords
Cite
@article{arxiv.1604.04372,
title = {The Chow Form of the Essential Variety in Computer Vision},
author = {Gunnar Fløystad and Joe Kileel and Giorgio Ottaviani},
journal= {arXiv preprint arXiv:1604.04372},
year = {2016}
}
Comments
27 pages, 1 figure, 6 Macaulay2 ancillary files. v2: edits to Theorem 1.1, references, acknowledgements