Name
Abstract | ||
|---|---|---|
Multiview geometry is the study of two-dimensional images of three-dimensional scenes, a foundational subject in computer vision. We determine a universal Grobner 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. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.4153/CJM-2012-023-2 | CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES |
Keywords | DocType | Volume |
multigraded Hilbert Scheme,computer vision,monomial ideal,Groebner basis,generic initial ideal | Journal | 65 |
Issue | ISSN | Citations |
5 | 0008-414X | 7 |
PageRank | References | Authors |
0.79 | 1 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Chris Aholt | 1 | 19 | 1.88 |
| Bernd Sturmfels | 2 | 926 | 136.85 |
| Rekha R. Thomas | 3 | 323 | 39.68 |