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 28 articles )

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  1. Andersson, Fredrik; Carlsson, Marcus; Nikitin, Viktor V.: Fast algorithms and efficient GPU implementations for the Radon transform and the back-projection operator represented as convolution operators (2016)
  2. Domínguez, V.; Ganesh, M.: Sobolev estimates for constructive uniform-grid FFT interpolatory approximations of spherical functions (2016)
  3. Nestler, Franziska: Automated parameter tuning based on RMS errors for nonequispaced FFTs (2016)
  4. Nestler, Franziska: An NFFT based approach to the efficient computation of dipole-dipole interactions under various periodic boundary conditions (2016)
  5. Dong, Yiqiu; Görner, Torsten; Kunis, Stefan: An algorithm for total variation regularized photoacoustic imaging (2015)
  6. Nestler, Franziska; Pippig, Michael; Potts, Daniel: Fast ewald summation based on NFFT with mixed periodicity (2015)
  7. Potts, Daniel; Tasche, Manfred: Fast ESPRIT algorithms based on partial singular value decompositions (2015)
  8. Filbir, Frank; Kunis, Stefan; Seyfried, Ruben: Effective discretization of direct reconstruction schemes for photoacoustic imaging in spherical geometries (2014)
  9. Gelb, Anne; Song, Guohui: A frame theoretic approach to the nonuniform fast Fourier transform (2014)
  10. González, Adriana; Jacques, Laurent; De Vleeschouwer, Christophe; Antoine, Philippe: Compressive optical deflectometric tomography: a constrained total-variation minimization approach (2014)
  11. Kämmerer, Lutz; Kunis, Stefan; Melzer, Ines; Potts, Daniel; Volkmer, Toni: Computational methods for the Fourier analysis of sparse high-dimensional functions (2014)
  12. Seyfried, Ruben: Summability methods for the inversion of the spherical mean operator (2014)
  13. Bajaj, Chandrajit; Bauer, Benedikt; Bettadapura, Radhakrishna; Vollrath, Antje: Nonuniform Fourier transforms for rigid-body and multidimensional rotational correlations (2013)
  14. Hielscher, Ralf: Numerical inversion of the Funk transform on the rotation group (2013)
  15. Hielscher, Ralf: Kernel density estimation on the rotation group and its application to crystallographic texture analysis (2013)
  16. Kämmerer, Lutz: Reconstructing multivariate trigonometric polynomials by sampling along generated sets (2013)
  17. Pippig, Michael; Potts, Daniel: Parallel three-dimensional nonequispaced fast Fourier transforms and their application to particle simulation (2013)
  18. Potts, Daniel; Tasche, Manfred: Parameter estimation for multivariate exponential sums (2013)
  19. Görner, Torsten; Hielscher, Ralf; Kunis, Stefan: Efficient and accurate computation of spherical mean values at scattered center points (2012)
  20. Gräf, Manuel; Potts, Daniel; Steidl, Gabriele: Quadrature errors, discrepancies, and their relations to halftoning on the torus and the sphere (2012)

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