location:  Publications → journals
Search results

Search: All articles in the CJM digital archive with keyword monomial ideal

 Expand all        Collapse all Results 1 - 1 of 1

1. CJM 2012 (vol 65 pp. 961)

Aholt, Chris; Sturmfels, Bernd; Thomas, Rekha
 A Hilbert Scheme in Computer Vision Multiview geometry is the study of two-dimensional images of three-dimensional scenes, a foundational subject in computer vision. We determine a universal GrÃ¶bner 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. We present a combinatorial study of ideals lying on that Hilbert scheme. Keywords:multigraded Hilbert Scheme, computer vision, monomial ideal, Groebner basis, generic initial idealCategories:14N, 14Q, 68
 top of page | contact us | privacy | site map |