10 citations · 10 across the 3 of their papers we have counts for
4 papers
Computing the Riemannian logarithm on the Stiefel manifold: metrics, methods and performance
Ralf Zimmermann, Knut Hüper
We address the problem of computing Riemannian normal coordinates on the real, compact Stiefel manifold of orthogonal frames. The Riemannian normal coordinates are based on the so-…
The discrete cosine transform on triangles
Bastian Seifert, Knut Hüper
The discrete cosine transform is a valuable tool in analysis of data on undirected rectangular grids, like images. In this paper it is shown how one can define an analogue of the d…
Averaging Complex Subspaces via a Karcher Mean Approach
Knut Hüper, Martin Kleinsteuber, Hao Shen
We propose a conjugate gradient type optimization technique for the computation of the Karcher mean on the set of complex linear subspaces of fixed dimension, modeled by the so-cal…
Newton's method on Graßmann manifolds
Uwe Helmke, Knut Hüper, Jochen Trumpf
A general class of Newton algorithms on Graßmann and Lagrange-Graßmann manifolds is introduced, that depends on an arbitrary pair of local coordinates. Local quadratic convergence…