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Professur für Angewandte Mathematik

Veröffentlichungen

Artikel

  1. Brigitte Forster, Peter Massopust, and Thomas Übelacker:
    Periodic Splines of Complex Order.
    Numerical Functional Analysis and Optimization, Special issue on Operator Algebra and Representation Theory: Frames, Wavelets and Fractals, 2012. In press.
  2. Brigitte Forster and Peter Massopust:
    Splines of Complex Order: Fourier, Filters and Fractional Derivatives.
    Sampling Theory in Signal and Image Processing, Vol. 10, No. 1-2, 2011, pp. 89–110.
  3. Dimitri Van De Ville, Brigitte Forster, Michael Unser and Thierry Blu:
    Analytical Footprints: Compact Representation of Elementary Singularities in Wavelet Bases.
    IEEE Trans. Signal Proc., Vol. 58, Issue 12, Dec. 2010, pp. 6105–6118.
  4. Stefan Held, Martin Storath, Peter Massopust and Brigitte Forster:
    Steerable wavelet frames based on the Riesz transform.
    IEEE Transactions on Image Processing, Vol. 19, No. 3, 2010, pp. 653–667.
  5. Peter Massopust, Brigitte Forster:
    Multivariate Complex B-Splines and Dirichlet Averages.
    Journal of Approximation Theory, Vol. 162, 2010, pp. 252–269.
  6. Brigitte Forster and Peter Massopust:
    Statistical Encounters with Complex B-Splines.
    Constructive Approximation, Vol. 29, No. 3, 2009, pp. 325–344.
  7. Brigitte Forster, Thierry Blu, Dimitri Van De Ville and Michael Unser:
    Shift-invariant spaces from rotation-covariant functions.
    Applied and Computational Harmonic Analysis, Vol. 25, No. 2, September 2008, pp. 240–265.
  8. Brigitte Forster and Peter Massopust:
    Some Remarks about the Connection between Fractional Divided Differences, Fractional B-Splines, and the Hermite-Genocchi Formula.
    International Journal of Wavelets, Multiresolution and Information Processing, Vol. 6, No. 2, 2008, pp. 279–290.
  9. Laurent Condat, Dimitri Van De Ville and Brigitte Forster-Heinlein:
    Reversible, Fast, and High-Quality Grid Conversions.
    IEEE Transactions on Image Processing, Vol. 17, No. 5, pp. 679–693, May 2008.
  10. Brigitte Forster:
    Approximation in Smirnov spaces: Direct and Inverse Theorems.
    Constructive Approximation, Volume 26, Number 1, June 2007, pp. 49–64.
  11. Brigitte Forster, Thierry Blu and Michael Unser:
    Complex B-Splines.
    Applied and Computational Harmonic Analysis, Volume 20, Issue 2, pp. 261–282, March 2006. Special Issue: Computational Harmonic Analysis - Part 3, Edited by Akram Aldroubi and Charles Chui.
  12. Brigitte Forster:
    Approximated Leont’ev coefficients.
    Journal of Computational Analysis and Applications, Vol. 7, No. 2, pp. 123–134, 2005.
  13. Brigitte Forster:
    Direct Approximation Theorems for Dirichlet Series in the Norm of Uniform Convergence.
    Journal of Approximation Theory 132, pp. 1–14, 2005
  14. Brigitte Forster:
    On the relation between Fourier and Leont’ev coefficients with respect to Smirnov spaces.
    Ukrainian Mathematical Journal, No. 4, pp. 628–640, 2004.
  15. Brigitte Forster, Dimitri Van De Ville, Jesse Berent, Daniel Sage and Michael Unser:
    Complex Wavelets for Extended Depth-of-Field: A New Method for the Fusion of Multi-Channel Microscopy Images.
    Microscopy Research and Technique 65, pp. 33–42, 2004.
  16. Brigitte Forster:
    Inverse approximation theorems for Dirichlet series on convex polygons in AC(D).
    East Journal on Approximations, Vol. 9, No. 3, pp. 305–322, 2003.
  17. Brigitte Forster:
    An algorithm for nonharmonic signal analysis using Dirichlet series on convex polygons.
    Electron. Trans. Numer. Anal., Volume 14, pp. 45–55, 2002.
  18. Brigitte Forster:
    On the relation between Fourier and Leont’ev coefficients with respect to the space AC(D).
    Comput. Methods Funct. Theory, Vol. 1 , No. 1, pp. 193–204, 2001.

Tagungsbeiträge

  1. Brigitte Forster and Peter Massopust:
    Short Communication: Multivariate interpolation with fundamental splines of fractional order.
    Proc. Appl. Math. Mech. (PAMM) , Vol. 11, pp. 857–858, 2011.
  2. Brigitte Forster, Peter Massopust:
    Interpolation with fundamental splines of fractional order.
    SampTA 2011. Singapore.
  3. Brigitte Forster, Gunter Semmler:
    Growth estimates of Korevaar type for entire functions in generalized Bernstein spaces.
    SampTA 2011. Singapore.
  4. Brigitte Forster, Peter Massopust:
    Multivariate Complex B-Splines, Dirichlet Averages and Difference Operators.
    SAMPTA’09, May 2009, Marseille, France.
  5. Brigitte Forster, Peter Massopust:
    Multivariate Complex B-Splines.
    SPIE Wavelets XII, August 2007, San Diego, USA.
  6. Laurent Condat, Brigitte Forster-Heinlein, Dimitri Van De Ville:
    Rotation-covariant polyharmonic spline wavelets on the hexagonal lattice.
    SPIE Wavelets XII, August 2007, San Diego, USA.
  7. Laurent Condat, Brigitte Forster-Heinlein, Dimitri Van De Ville:
    H2O: reversible hexagonal-orthogonal grid conversion by 1-D filtering.
    Proceedings of the International Conference on Image Processing (ICIP’07), San Antonio, USA, September 2007.
  8. Stefan Pfeifer, Thomas Schratzenstaller, Brigitte Forster-Heinlein, Karin Knör, Iris Grabmair, Erich Wintermantel:
    Stent-induced arterial deformation.
    Proceedings of “Gemeinsame Jahrestagung der Schweizerischen, Deutschen und Österreichischen Gesellschaft für Biomedizinische Technik BMT 2006”, Zurich, Switzerland, 6.–9. September 2006.
    Best Student Poster Award for Stefan Pfeifer.
  9. Dimitri Van De Ville, Thierry Blu, Brigitte Forster, Michael Unser:
    Semi-Orthogonal Wavelets That Behave like Fractional Differentiators.
    Proceedings of the SPIE Optics and Photonics 2005 Conference on Mathematical Methods: Optical Engineering and Instrumentation (Wavelet XI), San Diego CA, USA, July 31–August 3, 2005, vol. 5914.
  10. Florian Luisier, Thierry Blu, Brigitte Forster, Michael Unser:
    Which Wavelet Bases Are the Best for Image Denoising?
    Proceedings of the SPIE Optics and Photonics 2005 Conference on Mathematical Methods: Optical Engineering and Instrumentation (Wavelet XI), San Diego CA, USA, July 31–August 3, 2005, vol. 5914.
  11. Dimitri Van De Ville, Thierry Blu, Brigitte Forster, Michael Unser:
    Isotropic-Polyharmonic B-Splines and Wavelets.
    Proceedings of the 2004 IEEE International Conference on Image Processing (ICIP’04), Singapore, Singapore, October 24–27, 2004.
  12. Brigitte Forster, Dimitri Van De Ville, Jesse Berent, Niels Quack, Daniel Sage, Michael Unser:
    Extended Depth-of-Field for Color Images in Light Microscopy: Image Fusion and 3D Visualization.
    Proceedings of the 2004 Annual Meeting of the Swiss Society of Biomedical Engineering (SSBE’04), Zurich ZH, Switzerland, September 2–3, 2004.
    Max Anliker Memorial Poster Award.
  13. Brigitte Forster, Rupert Lasser:
    Biomedical Imaging.
    In: G. Winkler (Ed.), Beiträge zur Biomedizinischen Bildgebung mit einem Seitenblick auf Molecular Imaging, GSF-Bericht 03/04, p. 9–86, 2004.
  14. Brigitte Forster, Dimitri Van De Ville, Jesse Berent, Daniel Sage, Michael Unser:
    Extended depth-of-focus for multi-channel microscopy images: a complex wavelet approach.
    Proceedings of the Second IEEE International Symposium on Biomedical Imaging: From Nano to Macro (ISBI’04), Arlington VA, USA, April 15–18, 2004.
  15. Brigitte Forster, Thierry Blu, Michael Unser:
    A new family of complex rotation-covariant multiresolution bases in 2D.
    Proceedings of the SPIE Conference on Mathematical Imag- ing: Wavelet Applications in Signal and Image Processing X, San Diego CA, USA, August 3–8, 2003, pp. 475–479, Nov. 2003.

Preprints

  1. Ole Christensen, Brigitte Forster and Peter Massopust:
    Spline-based tight wavelet frames. Submitted to PAMM, 2012.
  2. Brigitte Forster and Gunter Semmler:
    Growth estimates for entire functions of exponential type with polygonal indicator diagram.
    Preprint.
  3. In preparation: Brigitte Forster, Ramuñas Garunkštis, Peter Massopust and Jörn Steuding:
    Zeros of a Sum of Hurwitz Zeta-Functions, 2011.

Bücher

  1. Brigitte Forster and Peter Massopust (Eds.):
    Four Short Courses in Harmonic Analysis. Wavelets, Frames, Time Frequency Methods, and Applications to Signal and Image Analysis.
    With contributions by Ole Christensen, Brigitte Forster, Karlheinz Gröchenig, Demetrio Labate, Peter Massopust, Pierre Vandergheynst, Guido Weiss, Yves Wiaux.
    Series Applied and Numerical Harmonic Analysis. Birkhäuser, 2010.
  2. Wolfgang zu Castell, Frank Filbir and Brigitte Forster (Eds.):
    Inzell Lectures on Orthogonal Polynomials. Advances in the Theory of Special Functions and Orthogonal Polynomials, Volume 2.
    Nova Science Publishers, 2004.

Buchkapitel

  1. Brigitte Forster:
    Splines and Multiresolution Analysis. (Invited contribution.)
    In: Otmar Scherzer (Ed.): Handbook of Mathematical Methods in Imaging. Springer, 2010. pp. 1231–1270.
  2. Peter Massopust and Brigitte Forster:
    Mathematical Aspects of Time Frequency Analysis.
    In: Four Short Courses in Harmonic Analysis. Wavelets, Frames, Time Frequency Methods, and Applications to Signal and Image Analysis. Birkhäuser, 2009. pp. 1–49.

Patent

  1. Patent Pending: Method and apparatus for displaying mammographic images.
    Inventors: Dr. Peter Heinlein, Dr. Brigitte Forster, Dr.-Ing. habil. Wilfried Schneider, Dipl.-Phys. Siegfried Janssen.
    Applicant: Image Diagnost International GmbH.
    Patent Number EP 1584049, 2005.
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