Browsing Mathematics by Author "Thomas, Rekha R"
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Polynomials in Multiview Geometry
Aholt, Christopher (20130417)We study multiview geometry and some of its applications through the use of polynomials. A threedimensional world point gives rise to n ≥ 2 twodimensional projections in n given cameras. The object of focus in this ... 
The Positive Semidefinite Rank of Matrices and Polytopes
Robinson, RichardThe positive semidefinite (psd) rank of a nonnegative <italic>p</italic> × <italic>q</italic> matrix <italic>M</italic> is defined to be the smallest integer <italic>k</italic> such that there exist <italic>k</italic> × ... 
Problems in Algebraic Vision
Lee, Hon LeungThis thesis studies several fundamental mathematical problems that arise from computer vision using techniques in algebraic geometry and optimization. Chapters 2 and 3 consider the fundamental question of the existence of ... 
Realization spaces of polytopes and matroids
Wiebe, AmyChapter 1 describes several models for the realization space of a polytope. These models include the classical model, a model representing realizations in the Grassmannian, a new model which represents realizations by slack ...