University of Göttingen - Institute for Numerical and Applied Mathematics
Research group for Mathematical Signal and Image Processing
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
Exact Reconstruction of Sparse Non-Harmonic Signals from Fourier Coefficients
Exact Reconstruction of Sparse Non-Harmonic Signals from Fourier Coefficients, implemented in MATLAB.
Markus Petz, Gerlind Plonka, Nadiia Derevianko
Exact Reconstruction of Extended Exponential Sums using Rational Approximation of their Fourier Coefficients
Exact Reconstruction of Extended Exponential Sums using Rational Approximation of their Fourier Coefficients, implemented in MATLAB.
Nadiia Derevianko, Gerlind Plonka
From ESPRIT to ESPIRA: Estimation of Signal Parameters by Iterative Rational Approximation
From ESPRIT to ESPIRA: Estimation of Signal Parameters by Iterative Rational Approximation, implemented in MATLAB.
Nadiia Derevianko, Gerlind Plonka, Markus Petz



Research Group for Mathematical Signal and Image Processing

Institute for Numerical and Applied Mathematics
Lotzestr. 16-18
37083 Göttingen