A Hilbert Scheme in Computer Vision

Understand

Multiview geometry is the study of two-dimensional images of three-dimensional scenes, a foundational subject in computer vision.

• We determine a universal Groebner basis for the multiview ideal of n generic cameras.
• As the cameras move, the multiview varieties vary in a family of dimension 11n-15.
• This family is the distinguished component of a multigraded Hilbert scheme with a unique Borel-fixed point.