PublicationsCurrent Preprints
Papers in Journals
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M. Kircheis, D. Potts and M. Tasche
On numerical realizations of Shannon’s sampling theorem
Sampling Theory, Signal Processing, and Data Analysis 22 (2024) 13, 33 pp.
DOI, arXiv, PDF, BIB, GitHub
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M. Kircheis and D. Potts
Fast and direct inversion methods for the multivariate nonequispaced fast Fourier transform
Frontiers in Applied Mathematics and Statistics 9 (2023) 1155484, 27 pp.
DOI, arXiv, PDF, BIB
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M. Kircheis, D. Potts and M. Tasche
Nonuniform fast Fourier transforms with nonequispaced spatial and frequency data and fast sinc transforms
Numerical Algorithms 92 (2023), pp. 2307–2339.
DOI, arXiv, PDF, BIB
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M. Kircheis, D. Potts and M. Tasche
On regularized Shannon sampling formulas with localized sampling
Sampling Theory, Signal Processing, and Data Analysis 20 (2022) 20, 34 pp.
DOI, arXiv, PDF, BIB
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M. Kircheis and D. Potts
Direct inversion of the nonequispaced fast Fourier transform
Linear Algebra and its Applications 575 (2019), pp. 106–140.
DOI, arXiv, PDF, BIB
Proceedings and Book Chapters
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M. Kircheis and D. Potts
Optimal density compensation factors for the reconstruction of the Fourier transform of bandlimited functions
Fourteenth International Conference on Sampling Theory and Applications (2023), 6 pp.
DOI, arXiv, PDF, BIB
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H. Eggers, M. Kircheis and D. Potts
Non-Cartesian MRI reconstruction
In: Mariya Doneva, Mehmet Akcakaya, Claudia Prieto (eds.). Magnetic Resonance Image Reconstruction: Theory, Methods and Applications, volume 6, Academic Press (2022).
DOI, PDF, BIB
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M. Kircheis and D. Potts
Efficient multivariate inversion of the nonequispaced fast Fourier transform
Proceedings in Applied Mathematics & Mechanics 20 (1) (2021), e202000120, 3 pp.
DOI, PDF, BIB
Theses
On numerical realizations of Shannon’s sampling theorem
Sampling Theory, Signal Processing, and Data Analysis 22 (2024) 13, 33 pp.
DOI, arXiv, PDF, BIB, GitHub
Fast and direct inversion methods for the multivariate nonequispaced fast Fourier transform
Frontiers in Applied Mathematics and Statistics 9 (2023) 1155484, 27 pp.
DOI, arXiv, PDF, BIB
Nonuniform fast Fourier transforms with nonequispaced spatial and frequency data and fast sinc transforms
Numerical Algorithms 92 (2023), pp. 2307–2339.
DOI, arXiv, PDF, BIB
On regularized Shannon sampling formulas with localized sampling
Sampling Theory, Signal Processing, and Data Analysis 20 (2022) 20, 34 pp.
DOI, arXiv, PDF, BIB
Direct inversion of the nonequispaced fast Fourier transform
Linear Algebra and its Applications 575 (2019), pp. 106–140.
DOI, arXiv, PDF, BIB
Optimal density compensation factors for the reconstruction of the Fourier transform of bandlimited functions
Fourteenth International Conference on Sampling Theory and Applications (2023), 6 pp.
DOI, arXiv, PDF, BIB
Non-Cartesian MRI reconstruction
In: Mariya Doneva, Mehmet Akcakaya, Claudia Prieto (eds.). Magnetic Resonance Image Reconstruction: Theory, Methods and Applications, volume 6, Academic Press (2022).
DOI, PDF, BIB
Efficient multivariate inversion of the nonequispaced fast Fourier transform
Proceedings in Applied Mathematics & Mechanics 20 (1) (2021), e202000120, 3 pp.
DOI, PDF, BIB