Software

- Easy Path Wavelet Transform (EPWT)
Wavelet shrinkage on paths for denoising of scattered data including an adaptive deterministic and an adaptive random path construction.
Dennis Heinen, Gerlind Plonka, Stefanie Tenorth
- Region Based Easy Path Wavelet Transform (RBEPWT)
A Region Based EPWT-like method for Sparse Image Representation
Renato Budinich
- pyShearLab - A Python 2D Shearlet Toolbox
A Python toolbox for the two-dimensional discrete shearlet transform based on ShearLab3D.
Stefan Loock
- PRwSC - A Toolbox for Phase Retrieval with Sparsity Constraints
A toolbox for Matlab and Python (pyPRwSC) for the reconstruction of images from phase retrieval data using sparsity constraints.
Stefan Loock
- Tetrolet Transform
A New Adaptive Haar Wavelet Algorithm for Sparse Image Representation.
Jens Krommweh
- Sparse FFT (small support)
A new deterministic sparse FFT algorithm for vectors with small support.
Katrin Wannenwetsch, Gerlind Plonka
- Sparse FFT (real non-negative)
A new deterministic sparse FFT algorithm for real non-negative vectors.
Katrin Wannenwetsch, Gerlind Plonka
- Sparse FFT for Functions with Short Frequency Support
A deterministic sparse FFT algorithm for functions with short frequency support.
Sina Bittens
- FAST - A Deterministic Sparse FFT for Functions with Structured Fourier Sparsity
A deterministic sparse FFT algorithm (FAST) for functions with block-structured Fourier sparsity, implemented in C++.
Sina Bittens, Ruochuan Zhang, Mark Iwen
- A Deterministic Sparse FFT for Functions with Structured Fourier Sparsity
A deterministic sparse FFT algorithm for functions with block-structured (FAST) and polynomially structured Fourier sparsity, implemented in MATLAB.
Sina Bittens, Ruochuan Zhang, Mark Iwen
- Deterministic Sparse FFT
Deterministic sparse FFT for M-sparse vectors, implemented in MATLAB.
Gerlind Plonka, Katrin Wannenwetsch
- Sparse Fast DCT for Vectors with One-block Support
Sparse fast DCT algorithm for vectors with one-block support, implemented in MATLAB and Python.
Sina Bittens, Gerlind Plonka
- Sparse FFT for Vectors with Reflected Two-block Support
Sparse FFT algorithm for vectors with reflected two-block support, implemented in MATLAB and Python.
Sina Bittens, Gerlind Plonka
- Real Sparse DCT for Vectors with Short Support
Real sparse DCT algorithm for vectors with short support, implemented in MATLAB and Python.
Sina Bittens, Gerlind Plonka
- Alternative SFFT for Functions with Short Frequency Support
An alternative deterministic sparse FFT for functions with short frequency support, implemented in MATLAB.
Sina Bittens
- Deterministic Sparse Sublinear FFT with Improved Numerical Stability
Deterministic sparse sublinear FFT for M-sparse vectors with improved numerical stability, implemented in Python.
Gerlind Plonka, Therese von Wulffen
- Reconstruction of Sparse Non-Harmonic Signals
Exact Reconstruction of Sparse Non-Harmonic Signals from Fourier Coefficients, implemented in MATLAB.
Markus Petz, Gerlind Plonka, Nadiia Derevianko
- Reconstruction of Extended Exponential Sums
Exact Reconstruction of Extended Exponential Sums using Rational Approximation of their Fourier Coefficients, implemented in MATLAB.
Nadiia Derevianko, Gerlind Plonka
- From ESPRIT to ESPIRA
From ESPRIT to ESPIRA: Estimation of Signal Parameters by Iterative Rational Approximation, implemented in MATLAB.
Nadiia Derevianko, Gerlind Plonka, Markus Petz
- MOCCA-MRI
MOCCA: A Fast Algorithm for Parallel MRI Reconstruction Using Model Based Coil Calibration, implemented in MATLAB (improved).
Gerlind Plonka, Yannick Nicola Riebe
- 2D Subsampled Fourier Reconstruction
Image reconstruction from structured subsampled 2D Fourier data, implemented in MATLAB.
Gerlind Plonka, Anahita Riahi