The Taub Faculty of Computer Science Events and Talks
Uri Itai (Applied Mathematics, Technion)
Sunday, 03.07.2011, 13:00
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, not clear how to efﬁciently interpolate such data. In this lecture we give such a subdivision interpolation scheme based on the geodes in the Rieman metric of the Symmetric positive deﬁnite matrices.
We prove convergences and smoothness and in addition spectral properties as well.
This is a joint work with Nir Sharon and Nira Dyn.