Software

Software

• 2D Subsampled Fourier Reconstruction
  Image reconstruction from structured subsampled 2D Fourier data (2025), implemented in MATLAB.
  Gerlind Plonka, Anahita Riahi
  

• MOCCA-MRI
  MOCCA: A Fast Algorithm for Parallel MRI Reconstruction Using Model Based Coil Calibration (2024), implemented in MATLAB (improved).
  Gerlind Plonka, Yannick Nicola Riebe
  

• From ESPRIT to ESPIRA
  From ESPRIT to ESPIRA: Estimation of Signal Parameters by Iterative Rational Approximation (2023), implemented in MATLAB.
  Nadiia Derevianko, Gerlind Plonka, Markus Petz
  

• Reconstruction of Extended Exponential Sums
  Exact Reconstruction of Extended Exponential Sums using Rational Approximation of their Fourier Coefficients (2022), implemented in MATLAB.
  Nadiia Derevianko, Gerlind Plonka
  

• Reconstruction of Sparse Non-Harmonic Signals
  Exact Reconstruction of Sparse Non-Harmonic Signals from Fourier Coefficients (2022), implemented in MATLAB.
  Markus Petz, Gerlind Plonka, Nadiia Derevianko
  

• Easy Path Wavelet Transform (EPWT)
  Wavelet shrinkage on paths for denoising of scattered data including an adaptive deterministic and an adaptive random path construction (2014).
  Dennis Heinen, Gerlind Plonka, Stefanie Tenorth
  

• Region Based Easy Path Wavelet Transform (RBEPWT)
  A Region Based EPWT-like method for Sparse Image Representation (2019)
  Renato Budinich
  

• pyShearLab - A Python 2D Shearlet Toolbox
  A Python toolbox for the two-dimensional discrete shearlet transform based on ShearLab3D (2016).
  Stefan Loock
  

• PRwSC - A Toolbox for Phase Retrieval with Sparsity Constraints (2016)
  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 (2010).
  Jens Krommweh
  

• Sparse FFT (small support)
  A new deterministic sparse FFT algorithm for vectors with small support (2016).
  Katrin Wannenwetsch, Gerlind Plonka
  

• Sparse FFT (real non-negative)
  A new deterministic sparse FFT algorithm for real non-negative vectors (2017).
  Katrin Wannenwetsch, Gerlind Plonka
  

• Sparse FFT for Functions with Short Frequency Support
  A deterministic sparse FFT algorithm for functions with short frequency support (2017).
  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 (2019), implemented in C++.
  Sina Bittens, Ruochuan Zhang, Mark Iwen
  

• A Deterministic Sparse FFT for Functions with Structured Fourier Sparsity (2019)
  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 (2018), 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 (2019), 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 (2017), 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 (2019), 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 (2021), implemented in Python.
  Gerlind Plonka, Therese von Wulffen