The Chow Form of the Essential Variety in Computer Vision

2016/04/15 by Gunnar Fløystad, Joe Kileel, Fløystad, Gunnar +3
Computer Science · Mathematics · #13C14 #13D02 #14C05 #14M12 #14Q15 #68T45 #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #Computer Vision and Pattern Recognition (cs.CV) #FOS: Computer and information sciences #FOS: Mathematics #cs.CV #math.AC #math.AG #msc:13C14 #msc:13D02 #msc:14C05 #msc:14M12 #msc:14Q15 #msc:68T45

paper · pdf · doi:10.48550/arxiv.1604.04372

27 pages, 1 figure, 6 Macaulay2 ancillary files. v2: edits to Theorem 1.1, references, acknowledgements

arxiv created 2016/07/14 · arxiv updated 2016/07/15

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.

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