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Papers and Citations in google scholar

Papers in Journals

o Kämmerer, L., Kunis, S., Potts, D. Interpolation lattices for hyperbolic cross trigonometric polynomials. J. Complexity 28, 76-92,   (full paper pdf),   2012
o 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),   2011
o 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 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 Potts, D., Tasche M. Nonlinear approximation by sums of nonincreasing exponentials. Appl. Anal. 90, 609-626,   (full paper ps, pdf),   2011
o 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 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 Potts, D., Tasche M. Parameter estimation for exponential sums by approximate Prony method. Signal Process. 90, 1631-1642,   (full paper ps, pdf),   2010
o 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 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 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 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 Böttcher, A., Kunis, S., Potts, D. Probabilistic spherical Marcinkiewicz-Zygmund inequalities. J. Approx. Theory 157, 113-126,   (full paper ps, pdf),   2009
o 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 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 Potts, D., Tasche, M. Numerical stability of nonequispaced fast Fourier transforms. J. Comput. Appl. Math. 222, 655-674,   (full paper ps, pdf),   2008
o Keiner, J., Potts, D. Fast evaluation of quadrature formulae on the sphere. Math. Comput. 77, 397-419,   (full paper ps, pdf),   2008
o 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 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 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 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 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 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 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 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 Keiner, J., Kunis, S., Potts, D. Fast summation of radial functions on the sphere. Computing 78, 1-15.   (full paper ps, pdf),   2006
o 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 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 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 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 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 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 Kunis, S., Potts, D. Fast spherical Fourier algorithms. J. Comput. Appl. Math. 161, 75-98. (full paper ps, pdf),   2003
o Potts, D., Steidl, G. Fast summation at nonequispaced knots by NFFTs. SIAM J. Sci. Comput. 24, 2013-2037. (full paper ps, pdf),   2003
o Potts, D. Fast algorithms for discrete polynomial transforms on arbitrary grids. Linear Algebra Appl. 366, 353-370. (full paper ps.Z, pdf),   2003
o 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 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 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 Ng, M. K., Potts, D. Circulant preconditioners for indefinite Toeplitz systems. BIT 41,1079-1088. (full paper ps, pdf),   2001
o Potts, D., Steidl, G. A new linogram algorithm for computerized tomography. IMA J. Numer. Anal. 21, 769-782. (full paper ps, pdf),   2001
o 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 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 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 Potts, D., Steidl, G. Preconditioners for ill-conditioned Toeplitz matrices. BIT 39,513-533. (full paper ps.Z, pdf),   1999
o Potts, D., Steidl G., Tasche M. Fast algorithms for discrete polynomial transforms. Math. Comput. 67, 1577-1590. (full paper ps.Z, pdf),   1998
o 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 Potts, D., Steidl G. Optimal trigonometric preconditioners for nonsymmetric Toeplitz systems. Linear Algebra Appl. 281, 265-292. (full paper ps.Z, pdf),   1998

Proceedings Papers and Book Chapters

o Gräf, M., Potts, D., Steidl, G. Quadrature nodes meet stippling dots. in Lecture Notes in Computer Science 6667   (full paper pdf),   2011
o 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 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 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 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 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 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
o 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
o 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
o 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
o 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
o 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
o 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
o 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
o 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
o 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
o 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
o 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

Preprints

o Potts, D., Tasche, M. Parameter estimation for nonincreasing exponential sums by Prony-like methods. Preprint, Fakultät für Mathematik, TU Chemnitz   (full paper pdf),   2012
o Potts, D., Tasche, M. Parameter estimation for multivariate exponential sums. Preprint, Fakultät für Mathematik, TU Chemnitz   (full paper pdf),   2012
o Gräf, M., Potts, D., Steidl, G. Quadrature rules, discrepancies and their relations to halftoning on the torus and the sphere. Preprint, Fakultät für Mathematik, TU Chemnitz   (full paper pdf),   2011

Further papers

o The Nonequispaced FFT: An Indispensable Algorithm for Applied Science , Computing Reviews, 2008
o Schnelle Fourier-Transformationen für nichtäquidistante Daten und Anwendungen, (.pdf), Habilitationsschrift, Universität zu Lübeck, 2003
o Schnelle Polynomtransformationen und Vorkonditionierer für Toeplitz-Matrizen, (.pdf) , (ISBN 3-8265-3904-4) Thesen, Dissertation, Universität Rostock, 1998
o Wavelets auf der Sphäre, (.pdf) , Diplomarbeit, Universität Rostock, 1995