Technion CGGC seminar (talk #189) ============ Date: Sunday 3/07/2011 Time: 1:00 pm Room: Taub 337 Speaker: Uri Itai (Applied Mathematics, Technion) Title: An interpolatory subdivision scheme for positive definite matrices. Abstract: Symmetric positive definite matrices are widely used. Diffusion kernels, Curvature, Optimization and many more. However, Symmetric positive definite matrices are not a group and form an open unbounded manifold. Thus, it is not clear how to efficiently interpolate such data. In this lecture we give such a subdivision interpolation scheme based on the geodes in the Riemannian metric of the Symmetric positive definite matrices. We prove convergences and smoothness and also spectral properties. This is joint work with Nir Sharon and Nira Dyn. ---------------------------------------------------------------- Visit the CGGC's web page at <http://www.cs.technion.ac.il/~cggc/> Seminar program: <http://www.cs.technion.ac.il/~cggc/Seminar.html> ---------------------------------------------------------------- Technion Math. Net (TECHMATH) Editor: Michael Cwikel <techm@math.technion.ac.il> Announcement from: <sigal@cs.technion.ac.il> <sigal@CS.TECHNION.AC.IL>