output
20052026
most citedImaging With Nature: Compressive Imaging Using a Multiply Scattering Medium

246 citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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12 papers · 1 filter

math.NA2024★ 1 cited

About the Burton-Miller factor in the low frequency region

Wolfgang Kreuzer

The Burton-Miller method is a widely used approach in acoustics to enhance the stability of the boundary element method for exterior Helmholtz problems at so-called critical freque…

math.NA2023★ 13 cited

NumCalc: An open source BEM code for solving acoustic scattering problems

Wolfgang Kreuzer, Katharina Pollack, Fabian Brinkmann +1

The calculation of the acoustic field in or around objects is an important task in acoustic engineering. To numerically solve this task, the boundary element method (BEM) is a comm…

math.NA2022★ 3 cited

Numerical simulation of sound propagation in and around ducts using thin boundary elements

Wolfgang Kreuzer

Investigating the sound field in and around ducts is an important topic in acoustics, e.g. when simulating musical instruments or the human vocal tract. In this paper a method that…

math.NA2022★ 10 cited

Fast Matching Pursuit with Multi-Gabor Dictionaries

Zdeněk Průša, Nicki Holighaus, Peter Balazs

Finding the best K-sparse approximation of a signal in a redundant dictionary is an NP-hard problem. Suboptimal greedy matching pursuit (MP) algorithms are generally used for this…

math.NA2019★ 40 cited

Characterization of Analytic Wavelet Transforms and a New Phaseless Reconstruction Algorithm

Nicki Holighaus, Günther Koliander, Zdenĕk Průša +1

We obtain a characterization of all wavelets leading to analytic wavelet transforms (WT). The characterization is obtained as a by-product of the theoretical foundations of a new m…

math.NA2018★ 1 cited

Using B-spline frames to approximate solutions of acoustic scattering problems

Wolfgang Kreuzer

Although frames, which are a generalization of bases, are important tools used in signal processing, their potential in other fields of engineering and applied mathematics (e.g. ac…

math.NA2017★ 4 cited

Cubatures on Grassmannians: moments, dimension reduction, and related topics

Anna Breger, Martin Ehler, Manuel Graef +1

We briefly explain the use of cubature points on Grassmannians in numerical analysis.

math.NA2016★ 16 cited

A-priori mesh grading for the numerical calculation of the head-related transfer functions

Harald Ziegelwanger, Wolfgang Kreuzer, Piotr Majdak

Head-related transfer functions (HRTFs) describe the directional filtering of the incoming sound caused by the morphology of a listener's head and pinnae. When an accurate model of…

math.NA2016★ 2 cited

From low to high-dimensional moments without magic

Bernhard G. Bodmann, Martin Ehler, Manuel Graef

We aim to compute the first few moments of a high-dimensional random vector from the first few moments of a number of its low-dimensional projections. To this end, we identify alge…

math.NA2014

On the numerical stability of the least-squares method for the planar scattering by obstacles

Gilles Chardon

The scattering of waves by obstacles in a 2D setting is considered, in particular the computation of the scattered field via the collocation or the least-squares methods. In the ca…

math.NA2013★ 16 cited

Efficient algorithms for discrete Gabor transforms on a nonseparable lattice

Christoph Wiesmeyr, Nicki Holighaus, Peter L. Soendergaard

The Discrete Gabor Transform (DGT) is the most commonly used transform for signal analysis and synthesis using a linear frequency scale. It turns out that the involved operators ar…

math.NA2013

Low-complexity computation of plate eigenmodes with Vekua approximations and the Method of Particular Solutions

Gilles Chardon, Laurent Daudet

This paper extends the Method of Particular Solutions (MPS) to the computation of eigenfrequencies and eigenmodes of plates. Specific approximation schemes are developed, with plan…