21 citations · 63 across the 10 of their papers we have counts for
10 papers
A Note on Properties of Discrete Composition Operators
Klaus Glashoff, Claus Peter Ortlieb
We derive properties and a characterization of discrete composition matrices which are useful in the field of numerical computation of shape correspondences.
Composition Operators, Matrix Representation, and the Finite Section Method: A Theoretical Framework for Maps between Shapes
Klaus Glashoff, Claus Peter Ortlieb
This paper intends to lay the theoretical foundation for the method of functional maps, first presented in 2012 by Ovsjanikov, Ben-Chen, Solomon, Butscher and Guibas in the field o…
Optimization on the biorthogonal manifold
Klaus Glashoff, Michael M. Bronstein
In this paper, we consider optimization problems w.r.t. to pairs of orthogonal matrices . Problems of this form arise in several applications such as finding shape correspo…
MADMM: a generic algorithm for non-smooth optimization on manifolds
Artiom Kovnatsky, Klaus Glashoff, Michael M. Bronstein
Numerous problems in machine learning are formulated as optimization with manifold constraints. In this paper, we propose the Manifold alternating directions method of multipliers…
Heat kernel coupling for multiple graph analysis
Michael M. Bronstein, Klaus Glashoff
In this paper, we introduce heat kernel coupling (HKC) as a method of constructing multimodal spectral geometry on weighted graphs of different size without vertex-wise bijective c…
Making Laplacians commute
Michael M. Bronstein, Klaus Glashoff, Terry A. Loring
In this paper, we construct multimodal spectral geometry by finding a pair of closest commuting operators (CCO) to a given pair of Laplacians. The CCOs are jointly diagonalizable a…
Asymptotic metrics on the space of matrices under the commutation relation
Klaus Glashoff, Michael M. Bronstein
We show that the norm of the commutator defines "almost a metric" on the quotient space of commuting matrices, in the sense that it is a semi-metric satisfying the triangle inequal…
Almost-commuting matrices are almost jointly diagonalizable
Klaus Glashoff, Michael M. Bronstein
We study the relation between approximate joint diagonalization of self-adjoint matrices and the norm of their commutator, and show that almost commuting self-adjoint matrices are…
Coupled quasi-harmonic bases
A. Kovnatsky, M. M. Bronstein, A. M. Bronstein +2
The use of Laplacian eigenbases has been shown to be fruitful in many computer graphics applications. Today, state-of-the-art approaches to shape analysis, synthesis, and correspon…
Multimodal diffusion geometry by joint diagonalization of Laplacians
Davide Eynard, Klaus Glashoff, Michael M. Bronstein +1
We construct an extension of diffusion geometry to multiple modalities through joint approximate diagonalization of Laplacian matrices. This naturally extends classical data analys…