23 citations · 41 across the 10 of their papers we have counts for
10 papers
Hermite multiwavelets for manifold-valued data
Mariantonia Cotronei, Caroline Moosmüller, Tomas Sauer +1
In this paper we present a construction of interpolatory Hermite multiwavelets for functions that take values in nonlinear geometries such as Riemannian manifolds or Lie groups. We…
Phase Retrieval for via the Provably Accurate and Noise Robust Numerical Inversion of Spectrogram Measurements
Mark Iwen, Michael Perlmutter, Nada Sissouno +1
In this paper, we focus on the approximation of smooth functions , up to an unresolvable global phase ambiguity, from a finite set of Short Time…
Structural Sparsity in Multiple Measurements
Florian Boßmann, Sara Krause-Solberg, Johannes Maly +1
We propose a novel sparsity model for distributed compressed sensing in the multiple measurement vectors (MMV) setting. Our model extends the concept of row-sparsity to allow more…
Well conditioned ptychograpic imaging via lost subspace completion
Anton Forstner, Felix Krahmer, Oleh Melnyk +1
Ptychography, a special case of the phase retrieval problem, is a popular method in modern imaging. Its measurements are based on the shifts of a locally supported window function.…
Predicting sparse circle maps from their dynamics
Felix Krahmer, Christian Kühn, Nada Sissouno
The problem of identifying a dynamical system from its dynamics is of great importance for many applications. Recently it has been suggested to impose sparsity models for improved…
A direct solver for the phase retrieval problem in ptychographic imaging
Nada Sissouno, Florian Boßmann, Frank Filbir +5
Measurements achieved with ptychographic imaging are a special case of diffraction measurements. They are generated by illuminating small parts of a sample with, e.g., a focused X-…
Level-dependent interpolatory Hermite subdivision schemes and wavelets
Mariantonia Cotronei, Caroline Moosmüller, Tomas Sauer +1
We study many properties of level-dependent Hermite subdivision, focusing on schemes preserving polynomial and exponential data. We specifically consider interpolatory schemes, whi…
Modeling variational inpainting methods with splines
Florian Boßmann, Tomas Sauer, Nada Sissouno
Mathematical methods of image inpainting involve the discretization of given continuous models. We present a method that avoids the standard pointwise discretization by modeling kn…
A note on Hermite multiwavelets with polynomial and exponential vanishing moments
Mariantonia Cotronei, Nada Sissouno
The aim of the paper is to present Hermite-type multiwavelets satisfying the vanishing moment property with respect to elements in the space spanned by exponentials and polynomials…
Anisotropic spline approximation with non-uniform B-splines
Nada Sissouno
Recently the author and U. Reif introduced the concept of diversification of uniform tensor product B-splines. Based on this concept, we give a new constructive modification of non…