A Hilbert Scheme in Computer Vision
نویسندگان
چکیده
Multiview geometry is the study of two-dimensional images of threedimensional scenes, a foundational subject in computer vision. We determine a universal Gröbner 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.
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ورودعنوان ژورنال:
- CoRR
دوره abs/1107.2875 شماره
صفحات -
تاریخ انتشار 2011