4 papers · 1 filter
Graph signal interpolation with Positive Definite Graph Basis Functions
Wolfgang Erb
For the interpolation of graph signals with generalized shifts of a graph basis function (GBF), we introduce the concept of positive definite functions on graphs. This concept merg…
Anisotropic Gaussian approximation in
Wolfgang Erb, Thomas Hangelbroek, Amos Ron
Let be the dictionary of Gaussian mixtures: the functions created by affine change of variables of a single Gaussian in dimensions. is used pervasiv…
Shapes of Uncertainty in Spectral Graph Theory
Wolfgang Erb
We present a flexible framework for uncertainty principles in spectral graph theory. In this framework, general filter functions modeling the spatial and spectral localization of a…
Shape-Driven Interpolation with Discontinuous Kernels: Error Analysis, Edge Extraction and Applications in MPI
Stefano De Marchi, Wolfgang Erb, Francesco Marchetti +2
Accurate interpolation and approximation techniques for functions with discontinuities are key tools in many applications as, for instance, medical imaging. In this paper, we study…