Publikationen

Publikationen

Aktuelle Preprints

Artikel

  • M. Kircheis, D. Potts und 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
  • M. Kircheis und 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
  • M. Kircheis, D. Potts und 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
  • M. Kircheis, D. Potts und 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
  • M. Kircheis und 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 und Buchkapitel

  • M. Kircheis und 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
  • H. Eggers, M. Kircheis und 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
  • M. Kircheis und 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

Abschlussarbeiten

  • A frame-theoretical approach to the inversion of the NFFT
    Masterarbeit, Technische Universität Chemnitz, 2018.
    PDF, BIB
  • Die Direkte Inverse NFFT
    Bachelorarbeit, Technische Universität Chemnitz, 2017.
    PDF, BIB