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

246 citations

Showing 2013Show all

5 papers · 1 filter

math.FA2013★ 11 cited

Spectrum-Adapted Tight Graph Wavelet and Vertex-Frequency Frames

David I Shuman, Christoph Wiesmeyr, Nicki Holighaus +1

We consider the problem of designing spectral graph filters for the construction of dictionaries of atoms that can be used to efficiently represent signals residing on weighted gra…

physics.optics2013★ 246 cited

Imaging With Nature: Compressive Imaging Using a Multiply Scattering Medium

Antoine Liutkus, David Martina, Sébastien Popoff +6

The recent theory of compressive sensing leverages upon the structure of signals to acquire them with much fewer measurements than was previously thought necessary, and certainly w…

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.FA2013★ 17 cited

Structure of nonstationary Gabor frames and their dual systems

Nicki Holighaus

We investigate the structural properties of dual systems for nonstationary Gabor frames. In particular, we prove that some inverse nonstationary Gabor frame operators admit a Walnu…

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…