Quellmalz, Michael; Elbau, Peter; Scherzer, Otmar; Steidl, Gabriele Motion detection in diffraction tomography by common circle methods. (English) Zbl 07782518 Math. Comput. 93, No. 346, 747-784 (2024). MSC: 92C55 78A46 42B05 PDFBibTeX XMLCite \textit{M. Quellmalz} et al., Math. Comput. 93, No. 346, 747--784 (2024; Zbl 07782518) Full Text: DOI arXiv
Knopp, Tobias; Boberg, Marija; Grosser, Mirco NFFT.jl: generic and fast Julia implementation of the nonequidistant fast Fourier transform. (English) Zbl 1516.65160 SIAM J. Sci. Comput. 45, No. 3, C179-C205 (2023). MSC: 65Y15 65T50 65T40 65Y05 68N01 PDFBibTeX XMLCite \textit{T. Knopp} et al., SIAM J. Sci. Comput. 45, No. 3, C179--C205 (2023; Zbl 1516.65160) Full Text: DOI arXiv
Kircheis, Melanie; Potts, Daniel; Tasche, Manfred Nonuniform fast Fourier transforms with nonequispaced spatial and frequency data and fast sinc transforms. (English) Zbl 07669770 Numer. Algorithms 92, No. 4, 2307-2339 (2023). MSC: 65T50 94A12 94A20 PDFBibTeX XMLCite \textit{M. Kircheis} et al., Numer. Algorithms 92, No. 4, 2307--2339 (2023; Zbl 07669770) Full Text: DOI arXiv
Nestler, Franziska; Stoll, Martin; Wagner, Theresa Learning in high-dimensional feature spaces using ANOVA-based fast matrix-vector multiplication. (English) Zbl 1496.65243 Found. Data Sci. 4, No. 3, 423-440 (2022). MSC: 65T50 62J10 68T05 PDFBibTeX XMLCite \textit{F. Nestler} et al., Found. Data Sci. 4, No. 3, 423--440 (2022; Zbl 1496.65243) Full Text: DOI arXiv
Beinert, Robert; Quellmalz, Michael Total variation-based reconstruction and phase retrieval for diffraction tomography. (English) Zbl 1500.92044 SIAM J. Imaging Sci. 15, No. 3, 1373-1399 (2022). MSC: 92C55 42B10 PDFBibTeX XMLCite \textit{R. Beinert} and \textit{M. Quellmalz}, SIAM J. Imaging Sci. 15, No. 3, 1373--1399 (2022; Zbl 1500.92044) Full Text: DOI arXiv
Potts, Daniel; Tasche, Manfred Uniform error estimates for nonequispaced fast Fourier transforms. (English) Zbl 1483.65242 Sampl. Theory Signal Process. Data Anal. 19, No. 2, Paper No. 17, 42 p. (2021). MSC: 65T50 94A12 42A10 PDFBibTeX XMLCite \textit{D. Potts} and \textit{M. Tasche}, Sampl. Theory Signal Process. Data Anal. 19, No. 2, Paper No. 17, 42 p. (2021; Zbl 1483.65242) Full Text: DOI arXiv
Kirisits, Clemens; Quellmalz, Michael; Ritsch-Marte, Monika; Scherzer, Otmar; Setterqvist, Eric; Steidl, Gabriele Fourier reconstruction for diffraction tomography of an object rotated into arbitrary orientations. (English) Zbl 1505.65125 Inverse Probl. 37, No. 11, Article ID 115002, 37 p. (2021). MSC: 65D18 65T50 65K10 78A46 92C55 42B10 PDFBibTeX XMLCite \textit{C. Kirisits} et al., Inverse Probl. 37, No. 11, Article ID 115002, 37 p. (2021; Zbl 1505.65125) Full Text: DOI arXiv
Potts, Daniel; Tasche, Manfred Continuous window functions for NFFT. (English) Zbl 1473.65358 Adv. Comput. Math. 47, No. 4, Paper No. 53, 34 p. (2021). MSC: 65T50 94A12 42A10 PDFBibTeX XMLCite \textit{D. Potts} and \textit{M. Tasche}, Adv. Comput. Math. 47, No. 4, Paper No. 53, 34 p. (2021; Zbl 1473.65358) Full Text: DOI arXiv
Barnett, Alex H. Aliasing error of the \(\exp(\beta\sqrt{1-z^2})\) kernel in the nonuniform fast Fourier transform. (English) Zbl 1464.65295 Appl. Comput. Harmon. Anal. 51, 1-16 (2021). MSC: 65T50 PDFBibTeX XMLCite \textit{A. H. Barnett}, Appl. Comput. Harmon. Anal. 51, 1--16 (2021; Zbl 1464.65295) Full Text: DOI arXiv
Weeber, Rudolf; Nestler, Franziska; Weik, Florian; Pippig, Michael; Potts, Daniel; Holm, Christian Accelerating the calculation of dipolar interactions in particle based simulations with open boundary conditions by means of the P\(^{2}\)NFFT method. (English) Zbl 1452.82027 J. Comput. Phys. 391, 243-258 (2019). MSC: 82D40 65T50 65Z05 74F15 76W05 PDFBibTeX XMLCite \textit{R. Weeber} et al., J. Comput. Phys. 391, 243--258 (2019; Zbl 1452.82027) Full Text: DOI arXiv
Barnett, Alexander H.; Magland, Jeremy; af Klinteberg, Ludvig A parallel nonuniform fast Fourier transform library based on an “exponential of semicircle” kernel. (English) Zbl 07123199 SIAM J. Sci. Comput. 41, No. 5, C479-C504 (2019). MSC: 65T50 65T40 65Y05 68N01 PDFBibTeX XMLCite \textit{A. H. Barnett} et al., SIAM J. Sci. Comput. 41, No. 5, C479--C504 (2019; Zbl 07123199) Full Text: DOI arXiv
Merhi, Sami; Zhang, Ruochuan; Iwen, Mark A.; Christlieb, Andrew A new class of fully discrete sparse Fourier transforms: faster stable implementations with guarantees. (English) Zbl 1431.65253 J. Fourier Anal. Appl. 25, No. 3, 751-784 (2019). MSC: 65T50 65T40 68W25 PDFBibTeX XMLCite \textit{S. Merhi} et al., J. Fourier Anal. Appl. 25, No. 3, 751--784 (2019; Zbl 1431.65253) Full Text: DOI arXiv
Kircheis, Melanie; Potts, Daniel Direct inversion of the nonequispaced fast Fourier transform. (English) Zbl 07060593 Linear Algebra Appl. 575, 106-140 (2019). MSC: 65Txx 42C15 PDFBibTeX XMLCite \textit{M. Kircheis} and \textit{D. Potts}, Linear Algebra Appl. 575, 106--140 (2019; Zbl 07060593) Full Text: DOI arXiv
Yang, Sheng-Chun; Qian, Hu-Jun; Lu, Zhong-Yuan A new theoretical derivation of NFFT and its implementation on GPU. (English) Zbl 1432.65206 Appl. Comput. Harmon. Anal. 44, No. 2, 273-293 (2018). MSC: 65T50 65Y10 PDFBibTeX XMLCite \textit{S.-C. Yang} et al., Appl. Comput. Harmon. Anal. 44, No. 2, 273--293 (2018; Zbl 1432.65206) Full Text: DOI
Hofmann, Michael; Nestler, Franziska; Pippig, Michael NFFT based Ewald summation for electrostatic systems with charges and dipoles. (English) Zbl 1376.78002 Appl. Numer. Math. 122, 39-65 (2017). MSC: 78A30 78A35 65T50 78A50 81V70 78M25 65R10 81V55 PDFBibTeX XMLCite \textit{M. Hofmann} et al., Appl. Numer. Math. 122, 39--65 (2017; Zbl 1376.78002) Full Text: DOI
Nestler, Franziska Automated parameter tuning based on RMS errors for nonequispaced FFTs. (English) Zbl 1348.65184 Adv. Comput. Math. 42, No. 4, 889-919 (2016). MSC: 65T50 PDFBibTeX XMLCite \textit{F. Nestler}, Adv. Comput. Math. 42, No. 4, 889--919 (2016; Zbl 1348.65184) Full Text: DOI Link
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. (English) Zbl 1346.65070 SIAM J. Imaging Sci. 9, No. 2, 637-664 (2016). MSC: 65R10 65R32 44A12 65T50 PDFBibTeX XMLCite \textit{F. Andersson} et al., SIAM J. Imaging Sci. 9, No. 2, 637--664 (2016; Zbl 1346.65070) Full Text: DOI arXiv
Adcock, Ben; Platte, Rodrigo B. A mapped polynomial method for high-accuracy approximations on arbitrary grids. (English) Zbl 1342.65088 SIAM J. Numer. Anal. 54, No. 4, 2256-2281 (2016). MSC: 65D15 65D05 65T50 PDFBibTeX XMLCite \textit{B. Adcock} and \textit{R. B. Platte}, SIAM J. Numer. Anal. 54, No. 4, 2256--2281 (2016; Zbl 1342.65088) Full Text: DOI
Nestler, Franziska An NFFT based approach to the efficient computation of dipole-dipole interactions under various periodic boundary conditions. (English) Zbl 1416.65568 Appl. Numer. Math. 105, 25-46 (2016). MSC: 65T50 65B10 78M25 65R10 PDFBibTeX XMLCite \textit{F. Nestler}, Appl. Numer. Math. 105, 25--46 (2016; Zbl 1416.65568) Full Text: DOI
Nestler, Franziska; Pippig, Michael; Potts, Daniel Fast ewald summation based on NFFT with mixed periodicity. (English) Zbl 1351.78066 J. Comput. Phys. 285, 280-315 (2015). MSC: 78M25 65B10 65T50 PDFBibTeX XMLCite \textit{F. Nestler} et al., J. Comput. Phys. 285, 280--315 (2015; Zbl 1351.78066) Full Text: DOI
Lyon, M.; Picard, J. The Fourier approximation of smooth but non-periodic functions from unevenly spaced data. (English) Zbl 1308.65225 Adv. Comput. Math. 40, No. 5-6, 1073-1092 (2014). MSC: 65T50 PDFBibTeX XMLCite \textit{M. Lyon} and \textit{J. Picard}, Adv. Comput. Math. 40, No. 5--6, 1073--1092 (2014; Zbl 1308.65225) Full Text: DOI
González, Adriana; Jacques, Laurent; De Vleeschouwer, Christophe; Antoine, Philippe Compressive optical deflectometric tomography: a constrained total-variation minimization approach. (English) Zbl 1302.94007 Inverse Probl. Imaging 8, No. 2, 421-457 (2014). MSC: 94A08 44A12 92C55 PDFBibTeX XMLCite \textit{A. González} et al., Inverse Probl. Imaging 8, No. 2, 421--457 (2014; Zbl 1302.94007) Full Text: DOI arXiv
Stefan, W.; Viswanathan, A.; Gelb, A.; Renaut, R. Sparsity enforcing edge detection method for blurred and noisy Fourier data. (English) Zbl 1244.65252 J. Sci. Comput. 50, No. 3, 536-556 (2012). MSC: 65T40 42A16 PDFBibTeX XMLCite \textit{W. Stefan} et al., J. Sci. Comput. 50, No. 3, 536--556 (2012; Zbl 1244.65252) Full Text: DOI Link
Turnes, Christopher K.; Romberg, Justin Efficient calculations of 3-D FFTs on spiral contours. (English) Zbl 1241.65126 J. Sci. Comput. 50, No. 3, 610-628 (2012). MSC: 65T50 PDFBibTeX XMLCite \textit{C. K. Turnes} and \textit{J. Romberg}, J. Sci. Comput. 50, No. 3, 610--628 (2012; Zbl 1241.65126) Full Text: DOI
Viswanathan, Adityavikram; Gelb, Anne; Cochran, Douglas; Renaut, Rosemary On reconstruction from non-uniform spectral data. (English) Zbl 1203.65290 J. Sci. Comput. 45, No. 1-3, 487-513 (2010). MSC: 65T40 65T50 PDFBibTeX XMLCite \textit{A. Viswanathan} et al., J. Sci. Comput. 45, No. 1--3, 487--513 (2010; Zbl 1203.65290) Full Text: DOI
Potts, Daniel; Tasche, Manfred Numerical stability of nonequispaced fast Fourier transforms. (English) Zbl 1210.65208 J. Comput. Appl. Math. 222, No. 2, 655-674 (2008). MSC: 65T50 65T40 65G50 PDFBibTeX XMLCite \textit{D. Potts} and \textit{M. Tasche}, J. Comput. Appl. Math. 222, No. 2, 655--674 (2008; Zbl 1210.65208) Full Text: DOI
Fenn, Markus; Kunis, Stefan; Potts, Daniel On the computation of the polar FFT. (English) Zbl 1110.65128 Appl. Comput. Harmon. Anal. 22, No. 2, 257-263 (2007). MSC: 65T50 94A12 PDFBibTeX XMLCite \textit{M. Fenn} et al., Appl. Comput. Harmon. Anal. 22, No. 2, 257--263 (2007; Zbl 1110.65128) Full Text: DOI
Kunis, S.; Potts, D.; Steidl, G. Fast Gauss transforms with complex parameters using NFFTs. (English) Zbl 1132.65119 J. Numer. Math. 14, No. 4, 295-303 (2006). Reviewer: Gerlind Plonka (Duisburg) MSC: 65T50 65T40 PDFBibTeX XMLCite \textit{S. Kunis} et al., J. Numer. Math. 14, No. 4, 295--303 (2006; Zbl 1132.65119) Full Text: DOI
Fenn, Markus; Kunis, Stefan; Potts, Daniel Fast evaluation of trigonometric polynomials from hyperbolic crosses. (English) Zbl 1096.65135 Numer. Algorithms 41, No. 4, 339-352 (2006). MSC: 65T50 65T40 42A05 PDFBibTeX XMLCite \textit{M. Fenn} et al., Numer. Algorithms 41, No. 4, 339--352 (2006; Zbl 1096.65135) Full Text: DOI
Potts, Daniel; Steidl, Gabriele; Nieslony, Arthur Fast convolution with radial kernels at nonequispaced knots. (English) Zbl 1056.65146 Numer. Math. 98, No. 2, 329-351 (2004). Reviewer: Manfred Tasche (Rostock) MSC: 65T50 65T40 65F30 PDFBibTeX XMLCite \textit{D. Potts} et al., Numer. Math. 98, No. 2, 329--351 (2004; Zbl 1056.65146) Full Text: DOI
Potts, Daniel Fast algorithms for discrete polynomial transforms on arbitrary grids. (English) Zbl 1026.65137 Linear Algebra Appl. 366, 353-370 (2003). MSC: 65T50 65F30 PDFBibTeX XMLCite \textit{D. Potts}, Linear Algebra Appl. 366, 353--370 (2003; Zbl 1026.65137) Full Text: DOI
Nieslony, A.; Steidl, G. Approximate factorizations of Fourier matrices with nonequispaced knots. (English) Zbl 1018.65154 Linear Algebra Appl. 366, 337-351 (2003). MSC: 65T50 65F30 65F50 PDFBibTeX XMLCite \textit{A. Nieslony} and \textit{G. Steidl}, Linear Algebra Appl. 366, 337--351 (2003; Zbl 1018.65154) Full Text: DOI
Amato, U.; Antoniadis, A.; De Feis, I. Fourier series approximation of separable models. (English) Zbl 1058.62034 J. Comput. Appl. Math. 146, No. 2, 459-479 (2002). Reviewer: Manfred Tasche (Rostock) MSC: 62G08 62G20 65C60 65T40 42B05 PDFBibTeX XMLCite \textit{U. Amato} et al., J. Comput. Appl. Math. 146, No. 2, 459--479 (2002; Zbl 1058.62034) Full Text: DOI