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Publications

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Publications

The list of publications is also available as a pdf.

If available, the [www] link links to a preprint, e.g. on arXiv. The DOI link refers to the original published version.

Preprints

  • R. Bergmann, D. Merkert (2017).
    FFT-based homogenization on periodic anisotropic translation invariant spaces.
    (arXiv Preprint #1701.04685, submitted to ACHA.)
    [www] [BibTex]

  • R. Bergmann, J. H. Fitschen, J. Persch, G. Steidl (2017).
    Priors with coupled first and second order differences for manifold-valued image processing.
    (arXiv Preprint #1709.01343)
    [www] [BibTex]

  • R. Bergmann, D. Merkert (2016).
    A framework for FFT-based homogenization on anisotropic lattices.
    (arXiv Preprint #1605.05712)
    [www] [BibTex]

Journal Paper

  • R. Bergmann, J. H. Fitschen J. Persch, G. Steidl (2017).
    Iterative multiplicative filters for data labeling.
    International Journal of Computer Vision. 123, (3), 435–453.
    [doi] [www] [BibTex]

  • R. Bergmann, D. Tenbrinck (2017).
    A graph framework for manifold-valued data.
    SIAM Journal on Imaging Sciences. (accepted.)
    [www] [BibTex]

  • R. Bergmann and A. Weinmann (2016).
    A second order TV-type approach for inpainting and denoising higher dimensional combined cyclic and vector space data.
    Journal of Mathematical Imaging and Vision. 55, (3), 401–427.
    [doi] [www] [BibTex]

  • M. Bačák, R. Bergmann, G. Steidl, A. Weinmann (2016).
    A second order non-smooth variational model for restoring manifold-valued images.
    SIAM Journal on Scientific Computing. 38, (1), A567–A597.
    [doi] [www] [BibTex]

  • R. Bergmann, J. Persch, G. Steidl (2016).
    A parallel Douglas–Rachford algorithm for restoring images with values in symmetric Hadamard manifolds.
    SIAM Journal on Imaging Sciences. 9, (3), 901-937.
    [doi] [www] [BibTex]

  • R. Bergmann, R. H. Chan, R. Hielscher, J. Persch, G. Steidl (2016).
    Restoration of manifold-valued images by half-quadratic minimization.
    Inverse Problems and Imaging. 10, (2), 281–304.
    [doi] [www] [BibTex]

  • R. Bergmann and J. Prestin (2015).
    Multivariate periodic wavelets of de la Vallée Poussin type.
    Journal of Fourier Analysis and Applications. 21, (2), 342–369.
    [doi] [www] [BibTex]

  • R. Bergmann, F. Laus, G. Steidl, A. Weinmann (2014).
    Second order differences of cyclic data and applications in variational denoising.
    SIAM Journal on Imaging Sciences. 7, (4), 2916–2953.
    [doi] [www] [BibTex]

  • R. Bergmann (2013).
    The fast Fourier transform and fast wavelet transform for patterns on the torus.
    Applied and Computational Harmonic Analysis. 35, (1), 39–51.
    [doi] [www] [BibTex]

Peer-reviewed Conference Proceedings Paper

  • R. Bergmann and D. Merkert (2017).
    Approximation of Periodic PDE Solutions with Anisotropic Translation Invariant Spaces.
    Sampling Theory and Applications, 12th International Conference on. (accepted)
    [www] [BibTex]

  • R. Bergmann and D. Tenbrinck (2017).
    Nonlocal inpainting of manifold-valued data on finite weighted graphs.
    (submitted)
    [www] [BibTex]

  • R. Bergmann, J. H. Fitschen, J. Persch, G. Steidl (2017).
    Infimal Convolution Coupling of First and Second Order Differences on Manifold- Valued Images.
    F. Lauze, Y. Dong, A. B. Dahl (eds.) Scale Space and Variational Methods in Computer Vision 2017. Springer: 447–459.
    [doi] [BibTex]

  • R. Bergmann (2017).
    MVIRT, A toolbox for manifold-valued image restoration.
    IEEE ICIP 2017.
    [BibTex]

  • R. Bergmann and A. Weinmann (2015).
    Inpainting of cyclic data using first and second order differences.
    Tai, X.-C. and Bae, E. and Chan, T. F. and Leung, S. Y. and Lysaker, M. (eds.) EMMCVPR 2015. Springer: 155–168.
    [doi] [www] [BibTex]

  • N. Oezguen, K. J. Schubert, R. Bergmann, R. Bennewitz, D. J. Strauss (2015).
    Relating tribological stimuli to somatosensory electroencephalographic responses.
    Engineering in Medicine and Biology Society (EMBC), 37th Annual International Conference of the IEEE. 8115–8118.
    [doi] [BibTex]

  • R. Bergmann and J. Prestin (2014).
    Multivariate anisotropic interpolation on the torus.
    G. Fasshauer and L. Schumaker (eds.) Approximation Theory XIV: San Antonio 2013. 27–44.
    [doi] [www] [BibTex]

Theses

  • Translationsinvariante Räume multivariater anisotroper Funktionen auf dem Torus. (Translation invariant spaces of multivariate anisotropic functions on the torus, german), Dissertation, University of Lübeck, zgl. Shaker Verlag, 2013, pdf.
  • Interaktive und automatisierte Hypergraphenvisualisierung mittels NURBS-Kurven. (Interactive and automated visualization of hypergraphs using NURBS curves, german), Diploma thesis, University of Lübeck, 2009, pdf.

Miscellaneous

  • R. Bergmann, F. Laus, J. Persch, G. Steidl (2017).
    Manifold-valued Image Processing.
    Siam News. 50, (8), 1,3.
    [www] [BibTex]