Publikationen

Aktuelle Preprints

• M. Kircheis und D. Potts
  Nonequispaced fast Fourier transforms for bandlimited functions
  eingereicht, 2025.
  arXiv, PDF, BIB

• M. Kircheis, D. Potts und M. Tasche
  Optimal parameter choice for regularized Shannon sampling formulas
  eingereicht, 2024.
  arXiv, PDF, BIB, GitHub

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

• Fast Fourier Methods for Trigonometric Polynomials and Bandlimited Functions
  Dissertation, Technische Universität Chemnitz, 2024.
  ISBN, DOI, PDF, BIB, GitHub

• 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