Seminar on Applied Geometry and Algebra (SIAM SAGA): Rekha Thomas скачать в хорошем качестве

Seminar on Applied Geometry and Algebra (SIAM SAGA): Rekha Thomas

Date: Tuesday, November 10 at 11:00am EST (5:00pm CET) Speaker: Rekha Thomas, University of Washington Title: When Two Cameras Meet a Cubic Surface Abstract: The set of images captured by an arrangement of pinhole cameras is usually modeled by the multiview variety. The true set is in fact a semialgebraic subset of this variety, arising from the physical restriction that cameras can only image points in front of them. For a pair of cameras, the minimal problem in this semialgebraic setting is given by 5 point pairs, which even in general position, can fail to have a "chiral" reconstruction. I will describe how the combinatorics and arithmetic information of this minimal case is carried by a cubic surface with 27 real lines. Joint work with Sameer Agarwal, Andrew Pryhuber and Rainer Sinn Moderator: Kathlén Kohn, KTH Royal Institute of Technology