Now showing items 1-4 of 4

    • Polynomials in Multiview Geometry 

      Aholt, Christopher (2013-04-17)
      We study multiview geometry and some of its applications through the use of polynomials. A three-dimensional world point gives rise to n ≥ 2 two-dimensional projections in n given cameras. The object of focus in this ...
    • The Positive Semidefinite Rank of Matrices and Polytopes 

      Robinson, Richard
      The 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 Leung
      This 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, Amy
      Chapter 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 ...