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.
- Pub Date:
- April 2016
- Mathematics - Algebraic Geometry;
- Computer Science - Computer Vision and Pattern Recognition;
- Mathematics - Commutative Algebra;
- 27 pages, 1 figure, 6 Macaulay2 ancillary files. v2: edits to Theorem 1.1, references, acknowledgements