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 58 articles , 1 standard article )

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  1. Landa, Boris; Shkolnisky, Yoel: Steerable principal components for space-frequency localized images (2017)
  2. Adcock, Ben; Platte, Rodrigo B.: A mapped polynomial method for high-accuracy approximations on arbitrary grids (2016)
  3. 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)
  4. Boyer, Claire; Chauffert, Nicolas; Ciuciu, Philippe; Kahn, Jonas; Weiss, Pierre: On the generation of sampling schemes for magnetic resonance imaging (2016)
  5. Domínguez, V.; Ganesh, M.: Sobolev estimates for constructive uniform-grid FFT interpolatory approximations of spherical functions (2016)
  6. Ivanov, Kamen G.; Petrushev, Pencho P.: Highly effective stable evaluation of bandlimited functions on the sphere (2016)
  7. Nestler, Franziska: Automated parameter tuning based on RMS errors for nonequispaced FFTs (2016)
  8. Nestler, Franziska: An NFFT based approach to the efficient computation of dipole-dipole interactions under various periodic boundary conditions (2016)
  9. Potts, Daniel; Volkmer, Toni: Sparse high-dimensional FFT based on rank-1 lattice sampling (2016)
  10. Dong, Yiqiu; Görner, Torsten; Kunis, Stefan: An algorithm for total variation regularized photoacoustic imaging (2015)
  11. Erb, Wolfgang; Mathias, Sonja: An alternative to Slepian functions on the unit sphere -- a space-frequency analysis based on localized spherical polynomials (2015)
  12. Gräf, Manuel; Hielscher, Ralf: Fast global optimization on the torus, the sphere, and the rotation group (2015)
  13. Nestler, Franziska; Pippig, Michael; Potts, Daniel: Fast ewald summation based on NFFT with mixed periodicity (2015)
  14. Potts, Daniel; Tasche, Manfred: Fast ESPRIT algorithms based on partial singular value decompositions (2015)
  15. Filbir, Frank; Kunis, Stefan; Seyfried, Ruben: Effective discretization of direct reconstruction schemes for photoacoustic imaging in spherical geometries (2014)
  16. Gelb, Anne; Song, Guohui: A frame theoretic approach to the nonuniform fast Fourier transform (2014)
  17. González, Adriana; Jacques, Laurent; De Vleeschouwer, Christophe; Antoine, Philippe: Compressive optical deflectometric tomography: a constrained total-variation minimization approach (2014)
  18. Kämmerer, Lutz; Kunis, Stefan; Melzer, Ines; Potts, Daniel; Volkmer, Toni: Computational methods for the Fourier analysis of sparse high-dimensional functions (2014)
  19. Kritsikis, E.; Vaysset, A.; Buda-Prejbeanu, L. D.; Alouges, F.; Toussaint, J.-C.: Beyond first-order finite element schemes in micromagnetics (2014)
  20. Lyon, M.; Picard, J.: The Fourier approximation of smooth but non-periodic functions from unevenly spaced data (2014)