![o](icons/blueball.gif)
Potts, D., Weidensager, L.,
Variable Transformations in combination with Wavelets and ANOVA for high-dimensional approximation.
Adv. Comput. Math., 50:53
arXiv:2207.12826
(full paper
pdf) 2024
![o](icons/blueball.gif)
Schröter, P., Potts, D.
ANOVA approximation with mixed tensor product basis on scattered points.
Linear Algebra Appl., accepted,
arXiv:2306.09174
(full paper
pdf) 2024
![o](icons/blueball.gif)
Kircheis, M., Potts, D., Tasche, M.
On numerical realizations of Shannon's sampling theorem.
Sampling Theory, Signal Processing, and Data Analysis, 22:13
arXiv:2306.17594
(full paper
pdf) 2024
![o](icons/blueball.gif)
Bartel, F., Kämmerer, L., Potts, D., Ullrich, T.
On the reconstruction of functions from values at subsampled quadrature points.
Math. Comp. 93, 785-809,
arXiv:2208.13597
(full paper
pdf) 2023
![o](icons/blueball.gif)
Kircheis, M., Potts, D.
Fast and direct inversion methods for the multivariate nonequispaced fast Fourier transform.
Front. Appl. Math. Stat. (Section: Mathematics of Computation and Data Science, RT: Horizons in Applied Mathematics and Statistics), 9:1155484,
arXiv:2303.00414
(full paper
pdf,
Frontiers),
2023
![o](icons/blueball.gif)
Lippert, L., Potts, D., Ullrich, T.
Fast Hyperbolic Wavelet Regression meets ANOVA.
Numerische Mathematik 154, 155-207,
arXiv:2108.13197
(full paper
pdf) 2023
![o](icons/blueball.gif)
Kämmerer, L., Potts, D., Taubert, F.
Nonlinear approximation in bounded orthonormal product bases.,
Sampling Theory, Signal Processing, and Data Analysis, 21:19
arXiv:2211.06071
(full paper
pdf) 2023
![o](icons/blueball.gif)
Lakshmanan, R., Pichler, A., Potts, D.
Fast Fourier Transform Boost for the Sinkhorn Algorithm.
Electron. Trans. Numer. Anal., 58, 289-315,
arXiv:2201.07524
(full paper
pdf) 2023
![o](icons/blueball.gif)
Kircheis, M., Potts, D., Tasche, M.
Nonuniform fast Fourier transforms with nonequispaced spatial and frequency data and fast sinc transforms.
Numerical Algorithms 92, 2307-2339,
arXiv:2107.02671
(full paper
pdf) 2023
![o](icons/blueball.gif)
Kircheis, M., Potts, D., Tasche, M.
On regularized Shannon sampling formulas with localized sampling.
Sampling Theory, Signal Processing, and Data Analysis, 20:19
arXiv:2203.09973
(full paper
pdf) 2022
![o](icons/blueball.gif)
Kämmerer, L., Potts, D., Taubert, F.
The uniform sparse FFT with application to PDEs with random coefficients.
Sampling Theory, Signal Processing, and Data Analysis, 20:19
arXiv:2109.04131
(full paper
pdf) 2022
![o](icons/blueball.gif)
Potts, D., Schmischke, M.
Interpretable transformed ANOVA approximation on the example of the prevention of forest fires.
Front. Appl. Math. Stat. (Section: Mathematics of Computation and Data Science), 8:795250,
arXiv:2110.07353
(full paper
pdf,
Frontiers,
2022
![o](icons/blueball.gif)
Potts, D., Schmischke, M.
Learning multivariate functions with low-dimensional structures using polynomial bases.
J. Comput. App. Math., 403, 113821,
arXiv:1912.03195
(full paper
pdf) 2022
![o](icons/blueball.gif)
Bartel, F., Potts, D., Schmischke, M.
Grouped Transformations in High-Dimensional Explainable ANOVA Approximation.
SIAM J. Sci. Comput., 44, A1606-A1631,
arXiv:2010.10199
(full paper
pdf) 2022
![o](icons/blueball.gif)
Potts, D., Tasche, M.
Uniform error estimates for nonequispaced fast Fourier transforms.
Sampl. Theory Signal Process. Data Anal., 19:17,
arXiv:1912.09746
(full paper
pdf) 2021
![o](icons/blueball.gif)
Potts, D., Schmischke, M.
Interpretable Approximation of High-Dimensional Data.
SIAM J. Math. Data. Sci. 3:1301-1323,
arXiv:2103.13787
(full paper
pdf,
related software),
) 2021
![o](icons/blueball.gif)
Potts, D., Tasche, M.
Continuous window functions for NFFT.
Adv. Comput. Math. 47:53,
arXiv:2010.06894
(full paper
pdf) 2021
![o](icons/blueball.gif)
Potts, D., Schmischke, M.
Approximation of high-dimensional periodic functions with Fourier-based methods.
SIAM J. Numer. Anal. 59, 2393-2429,
arXiv:1907.11412
(full paper
pdf),
SIAM Student Paper Prize 2023,
2021
![o](icons/blueball.gif)
Nasdala, R., Potts, D.
Efficient multivariate approximation on the cube. Numer. Math. 147, 393-429,
Open Access:doi
(full paper
pdf) 2021
![o](icons/blueball.gif)
Kämmerer, L., Potts, D., Volkmer, T.
High-dimensional sparse FFT based on sampling along multiple rank-1 lattices. Appl. Comput. Harm. Anal. 51, 225-257,
arXiv:1711.05152
(full paper
pdf) 2021
![o](icons/blueball.gif)
Bochmann, M., Kämmerer, L., Potts, D.
A sparse FFT approach for ODE with random coefficients.
Adv. Comput. Math. 46 (5), 1-21,
arXiv:1901.01600
(full paper
pdf) 2020
![o](icons/blueball.gif)
Bartel, F., Hielscher, R., Potts, D.
Fast Cross-validation in Harmonic Analysis.
Appl. Comput. Harm. Anal., 49, 415-437,
arXiv:1903.10206
(full paper
pdf) 2020
![o](icons/blueball.gif)
Nasdala, R., Potts, D.
Transformed Rank-1 Lattices for high-dimensional approximation.
Electron. Trans. Numer. Anal., 53, 239-282,
arXiv:1805.09106
(full paper
pdf) 2020
![o](icons/blueball.gif)
Kircheis, M., Potts, D.
Direct inversion of the nonequispaced fast Fourier transform.
Linear Algebra Appl., 575, 106-140,
arXiv:1811.05335
(full paper
pdf) 2019
![o](icons/blueball.gif)
Weeber, R., Nestler, F., Weik, F., Pippig, M., Potts, D., Holm C.
Accelerating the calculation of dipolar interactions in particle based simulations with open boundary conditions by means of the P2NFFT method.
J. Comput. Phys. 391, 243-258,
arXiv:1808.10341
(full paper
pdf) 2019
![o](icons/blueball.gif)
Alfke, D., Potts, D., Stoll M., Volkmer, T.
NFFT meets Krylov methods: Fast matrix-vector products for the graph Laplacian of fully connected networks.
Front. Appl. Math. Stat. (Section: Mathematics of Computation and Data Science), 4:61,
arXiv:1808.04580
(full paper
pdf,
Frontiers,
related software),
2018
![o](icons/blueball.gif)
Potts, D., Tasche, M., Volkmer, T.
Efficient spectral estimation by MUSIC and ESPRIT with application to sparse FFT.
Front. Appl. Math. Stat. (Section: Mathematics of Computation and Data Science), 2:1, (full paper
pdf,
Frontiers,
related software), 2016
![o](icons/blueball.gif)
Potts, D., Tasche, M.
Reconstruction of sparse Legendre and Gegenbauer expansions.
BIT 56, 1019-1043, (full paper
pdf), 2016
![o](icons/blueball.gif)
Junghanns, P., Kaiser, R., Potts, D.
Collocation–quadrature methods and fast summation for Cauchy singular integral equations with fixed singularities.
Linear Algebra Appl. 491, 187-238, (full paper
pdf), 2016
![o](icons/blueball.gif)
Potts, D., Volkmer, T.
Sparse high-dimensional FFT based on rank-1 lattice sampling.
Appl. Comput. Harm. Anal. 41, 713-748, (full paper
pdf,
DOI,
related software), 2016
![o](icons/blueball.gif)
Kämmerer, L., Potts, D., Volkmer, T.
Approximation of multivariate periodic functions by trigonometric polynomials
based on rank-1 lattice sampling.
J. Complexity 31, 543-576, (full paper
pdf,
extended Preprint), 2015
![o](icons/blueball.gif)
Nestler, F., Pippig, M., Potts, D.
Fast Ewald Summation based on NFFT with Mixed Periodicity.
J. Comput. Phys. 285, 280-315,
(full paper
pdf), 2015
![o](icons/blueball.gif)
Potts, D., Tasche, M.
Fast ESPRIT algorithms based on partial singular value decompositions.
Appl. Numer. Math. 88, 31-45, (full paper
pdf,
ApplNumerMath_PDF), 2015
![o](icons/blueball.gif)
Kämmerer, L., Potts, D., Volkmer, T.
Approximation of multivariate periodic functions by trigonometric polynomials based on sampling along rank-1 lattice with generating vector of Korobov form.
J. Complexity 31, 424 -456, (full paper
pdf), 2015
![o](icons/blueball.gif)
Potts, D., Tasche, M.
Sparse polynomial interpolation in Chebyshev bases.
Linear Algebra Appl. 441, 61-87, (full paper
pdf,
LAA_PDF), 2014
![o](icons/blueball.gif)
Arnold, A., Bolten, M., Dachsel, H., Fahrenberger, F., Gähler, F.,
Halver, R. Heber, F., Hofmann, M., Holm, C., Iseringhausen, J.,
Kabadshow, I., Lenz, O., Pippig, M., Potts, D. Sutmann, G.
A Comparison of Scalable Fast Methods for Long-Range Interactions.
Phys. Rev. E, 88, 063308, (full paper
pdf), 2013
![o](icons/blueball.gif)
Pippig, M., Potts, D.
Parallel Three-Dimensional Nonequispaced Fast Fourier Transforms and Their Application to Particle Simulation.
SIAM J. Sci. Comput., 35, C411-C437 (full paper
pdf), 2013
![o](icons/blueball.gif)
Potts, D., Tasche, M.
Parameter estimation for multivariate exponential sums.
Electron. Trans. Numer. Anal., 40, 204-224 (full paper
pdf), 2013
![o](icons/blueball.gif)
Potts, D., Tasche, M.
Parameter estimation for nonincreasing exponential sums by Prony-like methods.
Linear Algebra Appl. 439, 1024-1039,
(full paper
pdf), 2013
![o](icons/blueball.gif)
Gräf, M., Potts, D., Steidl, G.
Quadrature rules, discrepancies and their relations to halftoning on the torus and the sphere.
SIAM J. Sci. Comput. 34, A2760-A2791, (full paper
pdf, see also
Quadrature rules on manifolds),
2012
![o](icons/blueball.gif)
Kämmerer, L., Kunis, S., Potts, D.
Interpolation lattices for hyperbolic cross trigonometric polynomials.
J. Complexity 28, 76-92,
  (full paper
pdf), 2012
![o](icons/blueball.gif)
Gräf, M., Potts, D.
On the computation of spherical designs by a new optimization approach based on fast spherical Fourier transforms.
Numer. Math. 119, 699-724,
(full paper
pdf, see also
Quadrature rules on manifolds), 2011
![o](icons/blueball.gif)
Peter, T., Potts, D., Tasche M.
Nonlinear approximation by sums of exponentials and translates.
SIAM J. Sci. Comput. 33, 1920-1947, (full paper
pdf), 2011
![o](icons/blueball.gif)
Backofen, R., Gräf, M., Potts, D.,
Praetorius, S., Voigt, A., Witkowski, T.
A continuous approach to discrete ordering on S^2.
Multiscale Model. Simul. 9, 314-334, (full paper
pdf), 2011
![o](icons/blueball.gif)
Potts, D., Tasche M.
Nonlinear approximation by sums of nonincreasing exponentials.
Appl. Anal. 90, 609-626,
(full paper
ps,
pdf), 2011
![o](icons/blueball.gif)
Filbir, F., Potts, D.
Scattered data approximation on the bi-sphere and application to texture analysis.
Math. Geosci. 42, 747-771, (full paper
ps,
pdf,
Proof of Theorem 4.5
), 2010
![o](icons/blueball.gif)
Döhler, M., Kunis, S., Potts, D.
Nonequispaced hyperbolic cross fast Fourier transform.
SIAM J. Numer. Anal. 47, 4415-4428, (full paper
ps,
pdf), 2010
![o](icons/blueball.gif)
Potts, D., Tasche M.
Parameter estimation for exponential sums by approximate Prony method.
Signal Process. 90, 1631-1642,
(full paper
ps,
pdf), 2010
![o](icons/blueball.gif)
Potts, D., Prestin J., Vollrath A.
A Fast algorithm for nonequispaced Fourier transforms on the rotation group.
Numer. Algorithms, 52, 355 - 384, (full paper
ps,
pdf), 2009
![o](icons/blueball.gif)
Keiner, J., Kunis, S., Potts, D.
Using NFFT 3 - a software library for various nonequispaced fast Fourier transforms
ACM Trans. Math. Software, 36, Article 19, 1-30, (full paper
ps,
pdf) 2009
![o](icons/blueball.gif)
Gräf, M., Potts, D.
Sampling sets and quadrature formulae on the rotation group.
Numer. Funct. Anal. Optim. 30, 665-688, (full paper
ps,
pdf), 2009
![o](icons/blueball.gif)
Gräf, M., Kunis, S., Potts, D.
On the computation of nonnegative quadrature weights on the sphere.
Appl. Comput. Harm. Anal. 27, 124-132, (full paper
ps,
pdf), 2009
![o](icons/blueball.gif)
Böttcher, A., Kunis, S., Potts, D.
Probabilistic spherical Marcinkiewicz-Zygmund inequalities.
J. Approx. Theory 157, 113-126, (full paper
ps,
pdf), 2009
![o](icons/blueball.gif)
Hielscher, R., Potts, D., Prestin, J., Schaeben, H., Schmalz, M.
The Radon transform on SO(3): A Fourier slice theorem and numerical inversion.
Inverse Problems 24, 025011, (full paper
ps,
pdf), 2008
![o](icons/blueball.gif)
Kunis, S., Potts, D.
Time and memory requirements of the Nonequispaced FFT.
Sampling Theory in Signal and Image Processing 7, 77-100, (full paper
ps,
pdf), 2008
![o](icons/blueball.gif)
Potts, D., Tasche, M.
Numerical stability of nonequispaced fast Fourier transforms.
J. Comput. Appl. Math. 222, 655-674, (full paper
ps,
pdf), 2008
![o](icons/blueball.gif)
Keiner, J., Potts, D.
Fast evaluation of quadrature formulae on the sphere.
Math. Comput. 77, 397-419, (full paper
ps,
pdf), 2008
![o](icons/blueball.gif)
Schaeben, H., Hielscher, R., Fundenberger, J.J.,Potts, D., Prestin, J.
Orientation density function-controlled pole probability density function measurements: automated adaptive control of texture goniometers.
J. Appl. Cryst. 40, 570-579. (full paper
ps,
pdf), 2007
![o](icons/blueball.gif)
Keiner, J., Kunis, S., Potts, D.
Efficient reconstruction of functions on the sphere from scattered data.
J. Fourier Anal. Appl. 13, 435-458. (full paper
ps,
pdf), 2007
![o](icons/blueball.gif)
Böttcher, A., Potts, D.
Probability against condition number and sampling of multivariate trigonometric random polynomials.
Electron. Trans. Numer. Anal. 26, 178-189. (full paper
ps,
pdf), 2007
![o](icons/blueball.gif)
Böttcher, A., Potts, D., Wenzel, D
A probability argument in favor of ignoring small singular values.
Operators and Matrices 1, 31-43. (full paper
ps,
pdf), 2007
![o](icons/blueball.gif)
Knopp, T., Kunis, S., Potts, D.
A note on the iterative MRI reconstruction from nonuniform k-space data.
Int. J. Biomed. Imag , 2007, ID 24727 (full paper
ps,
pdf,
webpage) 2007
![o](icons/blueball.gif)
Kunis, S., Potts, D.
Stability Results for Scattered Data Interpolation by Trigonometric Polynomials.
SIAM J. Sci. Comput. 29, 1403 - 1419,
(full paper
ps,
pdf) 2007
![o](icons/blueball.gif)
Fenn, M., Kunis, S., Potts, D.
On the computation of the polar FFT.
Appl. Comput. Harm. Anal. 22, 257-263, (full paper
ps,
pdf), 2007
![o](icons/blueball.gif)
Eggers, H., Knopp, T., Potts, D.
Field Inhomogeneity Correction based on Gridding Reconstruction for Magnetic Resonance Imaging.
IEEE Trans. Med. Imag. 26, 374-384, (full paper
ps,
pdf,
poster), 2007
![o](icons/blueball.gif)
Keiner, J., Kunis, S., Potts, D.
Fast summation of radial functions on the sphere.
Computing 78, 1-15.
(full paper
ps,
pdf), 2006
![o](icons/blueball.gif)
Kunis, S., Potts, D., Steidl, G.
Fast Gauss transforms with complex parameters using NFFTs.
J. Numer. Math. 14, 295-303. (full paper
ps,
pdf), 2006
![o](icons/blueball.gif)
Fenn, M., Kunis, S., Potts, D.
Fast evaluation of trigonometric polynomials from hyperbolic crosses.
Numer. Algorithms 41, 339-252.
(full paper
ps,
pdf), 2006
![o](icons/blueball.gif)
Fenn, M., Potts, D.
Fast summation based on fast trigonometric transforms at nonequispaced nodes.
Numer. Linear Algebra Appl. 12, 161-169.
(full paper
ps,
pdf), 2005
![o](icons/blueball.gif)
Potts, D., Steidl, G., Nieslony, A.
Fast convolution with radial kernels at nonequispaced knots.
Numer. Math. 98, 329-351. (full paper
ps,
pdf), 2004
![o](icons/blueball.gif)
Potts, D.
Approximation of scattered data by trigonometric polynomials on the torus and the 2-sphere.
Adv. Comput. Math. 21, 21-36. (full paper
ps.Z,
pdf), 2004
![o](icons/blueball.gif)
Böhme, M., Potts, D.
A fast algorithm for filtering and wavelet decomposition on the sphere.
Electron. Trans. Numer. Anal. 16, 70-92. (full paper
ps,
pdf), 2003
![o](icons/blueball.gif)
Kunis, S., Potts, D.
Fast spherical Fourier algorithms.
J. Comput. Appl. Math. 161, 75-98. (full paper
ps,
pdf), 2003
![o](icons/blueball.gif)
Potts, D., Steidl, G.
Fast summation at nonequispaced knots by NFFTs.
SIAM J. Sci. Comput. 24, 2013-2037. (full paper
ps,
pdf), 2003
![o](icons/blueball.gif)
Potts, D.
Fast algorithms for discrete polynomial transforms on arbitrary grids.
Linear Algebra Appl. 366, 353-370. (full paper
ps.Z,
pdf), 2003
![o](icons/blueball.gif)
Potts, D., Steidl, G., Tasche, M.
Numerical stability of fast trigonometric transforms - a worst case study.
J. Concrete Appl. Math. 1, 1-36. (full paper
ps,
pdf), 2002
![o](icons/blueball.gif)
Potts, D., Steidl, G.
Fourier reconstruction of functions from their nonstandard sampled Radon transform.
J. Fourier Anal. Appl. 8, 513-533. (full paper
ps,
pdf), 2002
![o](icons/blueball.gif)
Ng, M.K., Potts, D.
Fast Iterative methods for Sinc systems.
SIAM J. Matrix Anal. Appl. 24, 581-598. (full paper
ps,
pdf), 2002
![o](icons/blueball.gif)
Ng, M. K., Potts, D.
Circulant preconditioners for indefinite Toeplitz systems.
BIT 41,1079-1088. (full paper
ps,
pdf), 2001
![o](icons/blueball.gif)
Potts, D., Steidl, G.
A new linogram algorithm for computerized tomography.
IMA J. Numer. Anal. 21, 769-782. (full paper
ps,
pdf), 2001
![o](icons/blueball.gif)
Potts, D., Steidl, G.
Preconditioners for ill-conditioned Toeplitz matrices constructed from positive kernels.
SIAM J. Sci. Comput. 22,1741-1761. (full paper
ps.Z,
pdf), 2001
![o](icons/blueball.gif)
Chan, R., Potts, D., Steidl, G.
Preconditioners for non-Hermitian Toeplitz systems.
Numer. Linear Alg. Appl. 8,83-98. (full paper
ps,
pdf), 2001
![o](icons/blueball.gif)
Chan, R., Potts, D., Steidl, G.
Preconditioners for nondefinite Hermitian Toeplitz systems.
SIAM J. Matrix Anal. Appl. 22,647-665. (full paper
ps,
pdf), 2000
![o](icons/blueball.gif)
Potts, D., Steidl, G.
Preconditioners for ill-conditioned Toeplitz matrices.
BIT 39,513-533. (full paper
ps.Z,
pdf), 1999
![o](icons/blueball.gif)
Potts, D., Steidl G., Tasche M.
Fast algorithms for discrete polynomial transforms.
Math. Comput. 67, 1577-1590. (full paper
ps.Z,
pdf), 1998
![o](icons/blueball.gif)
Potts, D., Steidl G., Tasche M.
Fast and stable algorithms for discrete spherical Fourier transforms.
Linear Algebra Appl. 275, 433-450. (full paper
ps.Z,
pdf), 1998
![o](icons/blueball.gif)
Potts, D., Steidl G.
Optimal trigonometric preconditioners for nonsymmetric Toeplitz systems.
Linear Algebra Appl. 281, 265-292. (full paper
ps.Z,
pdf), 1998
![o](icons/blueball.gif)
Eggers, H., Kircheis, M., Potts, D.
Non-Cartesian MRI reconstruction.
in: Magnetic Resonance Image Reconstruction: Theory, Methods and Applications. Chapter 5, (full paper
pdf,
doi), 2022
![o](icons/blueball.gif)
Nasdala, R., Potts, D.
A Note on Transformed Fourier Systems for the Approximation of Non-periodic Signals.
Monte Carlo and Quasi-Monte Carlo Methods MCQMC 2020, Oxford, United Kingdom, pages 253-271, (full paper
pdf
), 2022
![o](icons/blueball.gif)
Kircheis, M., Potts, D.
Efficient multivariate inversion of the NFFT.
in: PAMM, Proc. Appl. Math. Mech. 20, pages 1-3. (full paper
pdf,
doi), 2021
![o](icons/blueball.gif)
Hielscher, R., Potts D., Quellmalz M.
An SVD in Spherical Surface Wave Tomography.
In: Bernd Hofmann, Antonio Leitao and Jorge P. Zubelli (Eds.). New Trends in Parameter Identification for Mathematical Models, Birkhäuser Basel, 2018,
(full paper
pdf,
arXiv:1706.05284) 2017
![o](icons/blueball.gif)
Potts, D., Van Buggenhout, N.
Fourier extension and sampling on the sphere.
Proceedings of the 12th International Conference on Sampling Theory and Applications, pages, (full paper
pdf
), 2017
![o](icons/blueball.gif)
Potts, D., Volkmer, T.
Multivariate sparse FFT based on rank-1 Chebyshev lattice sampling.
Proceedings of the 12th International Conference on Sampling Theory and Applications, pages, (full paper
pdf
), 2017
![o](icons/blueball.gif)
Potts, D., Tasche, M.
Error estimates for the ESPRIT algorithm.
Operator Theory: Advances and Applications, Vol. 259,
Springer International Publishing, pages 621–648,
(full paper
pdf), 2017
![o](icons/blueball.gif)
Potts, D., Volkmer, T.
Fast and exact reconstruction of arbitrary multivariate algebraic polynomials in Chebyshev form.
Proceedings of the 11th International Conference on Sampling Theory and Applications, pages 392-396, (full paper
pdf, extended
preprint
), 2015
![o](icons/blueball.gif)
Nestler, F., Pippig, M., Potts, D.
NFFT based fast Ewald summation for various types of periodic boundary conditions.
in: Computational Trends in Solvation and Transport in Liquids,
G. Sutmann, J. Grotendorst, G. Gompper, D. Marx (Eds.), pages 575-598,
(full paper
pdf), 2015
![o](icons/blueball.gif)
Kämmerer, L., Kunis, S., Melzer, I., Potts, D., Volkmer, T.
Computational Methods for the Fourier Analysis of Sparse High-Dimensional
Functions.
in: Extraction of Quantifiable Information from Complex Systems,
S. Dahlke, W. Dahmen, M. Griebel, W. Hackbusch, K. Ritter,
R. Schneider, C. Schwab, H. Yserentant (Eds.),
(full paper
pdf), 2014
![o](icons/blueball.gif)
Heider, S., Kunis, S.,
Potts, D., Veit, M.
A sparse Prony FFT.
Proceedings of the 10th International Conference on Sampling Theory and Applications, pages 572-575 (full paper
pdf), 2013
![o](icons/blueball.gif)
Nestler, F., Potts, D.
Fast Ewald summation under 2d- and 1d-periodic boundary conditions based on NFFTs.
Proceedings of the 10th International Conference on Sampling Theory and Applications, pages 568-571 (full paper
pdf), 2013
![o](icons/blueball.gif)
Gräf, M., Potts, D., Steidl, G.
Quadrature nodes meet stippling dots.
in Lecture Notes in Computer Science 6667 (full paper
pdf), 2011
![o](icons/blueball.gif)
Pippig, M., Potts, D.
Particle simulation based on nonequispaced fast Fourier transforms.
in: Fast Methods for Long-Range Interactions in Complex Systems,
G. Sutmann, P. Gibbon, T. Lippert (Eds.), pages 131-158.
(full paper
pdf), 2010
![o](icons/blueball.gif)
Keiner, J., Kunis, S., Potts, D.
Efficient reconstruction of functions on the sphere from scattered data.
in: PAMM, Proc. Appl. Math. Mech. 7, pages 1050405-1050406. (full paper
ps,
pdf), 2007
![o](icons/blueball.gif)
Schaeben, H., Hielscher, R., Fundenberger, J.-J., Potts, D., Prestin, J.
Successive computations of an ODF while measuring its
corresponding PDFs with respect to progressively locally refined
spherical grids.
in: Proceedings IAMG'2007, Zhao, P., Agterberg, F., Chen, Q., (Eds.),
Beijing, pages 48-50.
(full paper
ps,
pdf
), 2007
![o](icons/blueball.gif)
Eggers, H., Knopp, T. , Potts, D.
Fast Fourier transform for nonequispaced data with applications in MRI.
in: Jahrestagung der Deutschen Sektion der ISMRM. (full paper
ps,
pdf), 2006
![o](icons/blueball.gif)
Kunis, S., Knopp, T. , Potts, D.
Inverse nonequispaced FFT - Applications in MRI and numerical stability.
in: Jahrestagung der Deutschen Sektion der ISMRM. (full paper
ps,
pdf), 2006
![o](icons/blueball.gif)
Pöplau, G., Potts, D., van Rienen, U.
Calculation of 3D Space-Charge Fields of Bunches of Charged Particles by Fast Summation.
in: Scientific Computing in Electrical Engineering, A.M. Anile, G. Ali and G. Mascaly (Eds.), Springer-Verlag, Berlin, pages 241-246.
(full paper
ps,
pdf
), 2006
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Heldmann, S., Mahnke, O., Potts, D., Modersitzki, J. and Fischer, B.
Fast computation of Mutual Information in a variational image registration approach.
in: Proceedings of the BVM 2004, "Bildverarbeitung für die Medizin
2004, Algorithmen - Systeme - Anwendungen" 29. - 30. März 2004, Berlin.
(full paper
pdf), 2004
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Pöplau,G., Potts, D.
Fast Poisson solvers on nonequispaced grids: Multigrid and Fourier methods compared.
in: Proceedings of SPIE: Advanced Signal Processing Algorithms,
Architectures and Implementations XIII, F.T. Luk (Ed.), Vol. 5205.
(full paper
ps,
pdf), 2003
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Böhme, M., Potts, D.
A Fast Alogorithm for Spherical Filtering on Arbitrary Grids.
in: Proceedings of SPIE: Wavelets Applications in Signal and Image
Processing X, M.A. Unser, A. Aldroubi, A.F. Laine (Eds.), Vol. 5207.
(full paper
ps,
pdf) , 2003
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Potts, D., Steidl, G.
Preconditioning of Hermitian block-Toeplitz-Toeplitz-block matrices by level-1 preconditioners.
in: Structured Matrices in Mathematics, Computer Science, and Engineering II, V. Olshevsky, (Ed.), pages 193-212. (full paper
ps,
pdf), 2001
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Schaeben, H., Potts, D., Prestin, J.
Spherical Wavelets with an application in preferred crystallographic orientation.
in: Proceedings of the Annual
Conference of the International Association for Mathematical Geology, Cancun, Mexico. (full paper
ps.Z,
pdf), 2001
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Schaeben, H., Prestin, J., Potts, D.
Wavelet representation of diffraction pole figures.
in: Advances in X-ray Analysis 44, Proceedings of the 49th Denver X-ray Conference, Denver 2000, pages 235-240. (full paper
ps,
pdf), 2000
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Potts, D., Steidl, G.
New Fourier reconstruction algorithms for computerized tomography.
in: Proceedings of SPIE: Wavelet Applications in Signal and Image
Processing VIII,A. Aldroubi,A.F. Laine,M.A. Unser (Eds.), Vol.:4119,
pages 13-23. (full paper
ps,
pdf), 2000
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Potts, D., Steidl, G., and Tasche M.
Fast Fourier transforms for nonequispaced data: A tutorial.
in: Modern Sampling Theory: Mathematics and Applications, J.J.
Benedetto, P. Ferreira (Eds.), Chapter 12, pages 249-274. (full
paper
ps.Z,
pdf), 1998
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Potts, D., Steidl, G., Tasche, M.
Trigonometric preconditioners for block Toeplitz systems.
in: Multivariate Approximation and Splines, (Eds. G. Nürnberger, J.W.
Schmidt, and G. Walz) Birkhäuser, Basel 1997, pages 219-234. (full
paper
ps.Z,
pdf), 1997
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Potts, D., Steidl, G., Tasche, M.
Kernels of spherical harmonics and spherical frames.
in: Fontanella, F, Jetter, K. & Laurent, P.J. (eds.), Advanced
Topics in Multivariate Approximation, World Scientific Publ.,
Singapore, pages 287-301. (full paper
ps.gz,
pdf), 1996
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Potts, D., Tasche, M.
Interpolatory wavelets on the sphere.
in: Chui, C.K., Schumaker, L.L. (Eds.), Approximation Theory VIII, Vol.
2: Wavelets and Multilevel Approximation, World Scientific Publ.,
Singapore: pages 335-342. (full paper
ps.gz,
pdf), 1995