NFFT3

Using NFFT3 - a software library for various nonequispaced fast Fourier transforms. NFFT 3 is a software library that implements the nonequispaced fast Fourier transform (NFFT) and a number of related algorithms, for example, nonequispaced fast Fourier transforms on the sphere and iterative schemes for inversion. This article provides a survey on the mathematical concepts behind the NFFT and its variants, as well as a general guideline for using the library. Numerical examples for a number of applications are given.

This software is also peer reviewed by journal TOMS.


References in zbMATH (referenced in 69 articles , 1 standard article )

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  1. Barnett, Alex H.: How exponentially ill-conditioned are contiguous submatrices of the Fourier matrix? (2022)
  2. Diao, Xuhao; Hu, Jun; Ma, Suna: Preconditioned Legendre spectral Galerkin methods for the non-separable elliptic equation (2022)
  3. Medvedev, Sergey; Chekhovskoy, Igor; Vaseva, Irina; Fedoruk, Mikhail: Fast sixth-order algorithm based on the generalized Cayley transform for the Zakharov-Shabat system associated with nonlinear Schrödinger equation (2022)
  4. Barnett, Alex H.: Aliasing error of the (\exp(\beta\sqrt1-z^2)) kernel in the nonuniform fast Fourier transform (2021)
  5. Bergermann, Kai; Stoll, Martin; Volkmer, Toni: Semi-supervised learning for aggregated multilayer graphs using diffuse interface methods and fast matrix-vector products (2021)
  6. Ehler, Martin; Gräf, Manuel; Neumayer, Sebastian; Steidl, Gabriele: Curve based approximation of measures on manifolds by discrepancy minimization (2021)
  7. Gimeno, Joan; Yang, Jiaqi; de la Llave, Rafael: Numerical computation of periodic orbits and isochrons for state-dependent delay perturbation of an ODE in the plane (2021)
  8. Goncharov, Fedor: A geometric based preprocessing for weighted ray transforms with applications in SPECT (2021)
  9. Koga, Kazuki: Signal processing approach to mesh refinement in simulations of axisymmetric droplet dynamics (2021)
  10. Le Gia, Quoc T.; Li, Ming; Wang, Yu Guang: Algorithm 1018: FaVeST -- fast vector spherical harmonic transforms (2021)
  11. Potts, Daniel; Schmischke, Michael: Approximation of high-dimensional periodic functions with Fourier-based methods (2021)
  12. Potts, Daniel; Tasche, Manfred: Uniform error estimates for nonequispaced fast Fourier transforms (2021)
  13. Potts, Daniel; Tasche, Manfred: Continuous window functions for NFFT (2021)
  14. Averseng, Martin: Fast discrete convolution in (\mathbbR^2) with radial kernels using non-uniform fast Fourier transform with nonequispaced frequencies (2020)
  15. Bartel, Felix; Hielscher, Ralf; Potts, Daniel: Fast cross-validation in harmonic approximation (2020)
  16. Lazarus, Carole; März, Maximilian; Weiss, Pierre: Correcting the side effects of ADC filtering in MR image reconstruction (2020)
  17. Rangan, Aaditya; Spivak, Marina; Andén, Joakim; Barnett, Alex: Factorization of the translation kernel for fast rigid image alignment (2020)
  18. Wülker, Christian: Fast SGL Fourier transforms for scattered data (2020)
  19. Xu, Boxi; Cheng, Jin; Leung, Shingyu; Qian, Jianliang: Efficient algorithms for computing multidimensional integral fractional Laplacians via spherical means (2020)
  20. Agaltsov, A. D.; Hohage, T.; Novikov, R. G.: An iterative approach to monochromatic phaseless inverse scattering (2019)

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