Professur für Angewandte Mathematik
Prof. Dr. Brigitte Forster-Heinlein

Professurinhaberin

Prof. Dr. Brigitte Forster-Heinlein

Prof. Dr. Brigitte Forster-Heinlein

Raum: 231 IM
Telefon: 0851 / 509-3135
Fax: 0851 / 509-3137
E-Mail: Brigitte.Forsteratuni-passau.de

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Prof. Dr. Brigitte Forster-Heinlein
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Prof. Dr. Brigitte Forster-Heinlein
Professorin

Professur für Angewandte Mathematik


Innstraße 33
94032 Passau

Raum:IM 231
Telefon:+49(0)851/509-3135
E-Mail:Brigitte.Forster@uni-passau.de
Sprechzeiten:nach Vereinbarung
Foto Prof. Dr. Brigitte Forster-Heinlein
Lebenslauf
Brigitte Forster studied mathematics and electrical engineering at the Technische Universität München TUM and the Université de Metz (France). She graduated in 1998 with distinction and received her diploma in mathematics. In her diploma thesis she considered spline wavelet bases in Sobolev spaces to solve partial differential equations.

After her graduation, she joined the graduate program Applied Algorithmic Mathematics at TUM. In 2001 she obtained her Dr. rer. nat. with "summa cum laude". The topic of her dissertation was nonharmonic Fourier series for signal analysis. Both her diploma and her doctoral thesis were awarded by the Hurwitz-Gesellschaft in 1999 and 2001 respectively.

Then Brigitte Forster was postdoctoral researcher at the graduate program and guest researcher at the Institute for Biomathematics and Biometry IBB at the GSF Research Center for Environment and Health, Neuherberg. She there worked on sampling theorems with nodes in the complex plane and complex integral transforms for signal analysis.

In 2002 she received a grant from the Deutsche Akademie der Naturforscher Leopoldina and joined the Biomedical Imaging Group at École Polytechnique Fédérale de Lausanne EPFL, Switzerland. She there worked on the construction of complex wavelets for signal and image analysis. From October 2003 to October 2004 she was Marie-Curie-Fellow in the Research Training Network Harmonic Analysis and Statistics for Signal and Image Processing HASSIP funded by the European Commission. In September 2004 she received the Max Anliker Memorial Poster Award at the Annual Meeting of the Swiss Society of Biomedical Engineering.

In 2006 Brigitte Forster was appointed Juniorprofessor for Mathematical Modelling in Biomedical Engineering at the Technische Universität München.

In addition, from 2005 to 2009, Brigitte Forster was Team Leader of her Marie-Curie-Excellence-Team "MAMEBIA - Mathematical Methods in Biological Image Analysis" at the Helmholtz Zentrum München. The project was funded by the European Commission.

Since April 2012, Brigitte Forster is Professor for Applied Mathematics at the University of Passau.
She is curator of the Passauer Mathematik Museum. From October 2013 to September 2015 she served as vice dean for the department. Now, she is heading the standing commitee for doctoral studies.

In her research, she is concerned with complex analysis and approximation theory as well as their application in image analysis.

Brigitte Forster is married and has two children.
Schwerpunkte
  • Applied harmonic analysis, especially wavelet analysis, complex wavelets, phase information
  • Approximation theory, sampling and interpolation
  • Mathematical methods in signal and image analysis, especially integral transforms
  • Function theory: Nonharmonic Fourier series and Dirichlet series on convex polygons, growth estimates for entire functions of special type
  • Biomedical imaging
Lehrveranstaltungen
Wintersemester 2017/18
Publikationen

Articles

  1. Brigitte Forster, Ramunas Garunkštis, Peter Massopust and Jörn Steuding: Complex
    B-splines and Hurwitz zeta functions, LMS J. Comput. Math. 16, 2013, pp. 61–77.
  2. 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, Vol. 33 (7-9), 2012, pp. 989–1004.
  3. 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.
  4. 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.
  5. Stefan Held, Martin Storath, Peter Massopust, Brigitte Forster: Steerable wavelet frames based on the Riesz transform. IEEE Transactions on Image Processing, Vol. 19, No. 3, 2010, pp. 653–667.
  6. Peter Massopust, Brigitte Forster: Multivariate Complex B-Splines and Dirichlet Averages. Journal of Approximation Theory, Vol. 162, 2010, pp. 252–269.
  7. Brigitte Forster, Peter Massopust: Statistical Encounters with Complex B-Splines. Constructive Approximation, Vol. 29, No. 3, 2009, pp. 325–344.
  8. Brigitte Forster, Thierry Blu, Dimitri Van De Ville, Michael Unser: Shift-invariant spaces from rotation-covariant functions. Applied and Computational Harmonic Analysis, Vol. 25, No. 2, September 2008, pp. 240–265.
  9. Brigitte Forster, 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.
  10. Laurent Condat, Dimitri Van De Ville, Brigitte Forster-Heinlein: Reversible, Fast, and High-Quality Grid Conversions. IEEE Transactions on Image Processing, Vol. 17, No. 5, pp. 679–693, May 2008.
  11. Brigitte Forster: Approximation in Smirnov spaces: Direct and Inverse Theorems. Constructive Approximation, Volume 26, Number 1, June 2007, pp. 49–64.
  12. 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.
  13. Brigitte Forster: Approximated Leont’ev coefficients. Journal of Computational Analysis and Applications, Vol. 7, No. 2, pp. 123–134, 2005.
  14. Brigitte Forster: Direct Approximation Theorems for Dirichlet Series in the Norm of Uniform Convergence. Journal of Approximation Theory 132, pp. 1–14, 2005
  15. 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.
  16. Brigitte Forster, Dimitri Van De Ville, Jesse Berent, Daniel Sage, 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.
  17. 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.
  18. Brigitte Forster: An algorithm for nonharmonic signal analysis using Dirichlet series on convex polygons. Electron. Trans. Numer. Anal., Volume 14, pp. 45–55, 2002.
  19. 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.

Proceedings

  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 Imaging: Wavelet Applications in Signal and Image Processing X, San Diego CA, USA, August 3–8, 2003, pp. 475–479, Nov. 2003.

Preprints

  1. Brigitte Forster and Gunter Semmler: Entire functions in generalized Bernstein spaces
    and their growth behavior. Invited chapter. Submitted for the book “Sampling Theory, a Renaissance”, Birkhäuser.
  2. Ulrich Rührmair, Christian Hilgers, Sebastian Urban, Agnes Weierhäuser, Elias Dinter, Brigitte Forster and Christian Jirauschek: Optical PUFs Reloaded. Cryptology ePrint Archive: Report 2013/215.
  3. Ole Christensen, Brigitte Forster and Peter Massopust: Directional time-frequency analysis via continuous frames. Submitted to ACHA, 2014.
  4. Johannes Nagler, Paula Cerejeiras, and Brigitte Forster: A lower bound for the Schoenberg operator. Preprint, 2014.

Books

  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 Grˆchenig, Demetrio Labate, Peter Massopust, Pierre Vandergheynst, Guido Weiss, Yves Wiaux. Series Applied and Numerical Harmonic Analysis. Birkhäuser, 2009.
  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.

Book chapters

  1. Brigitte Forster: Five good reasons for complex-valued transforms in image processing.
    (Invited contribution.) In: G. Schmei?er and A. Zayed (Eds.): New Perspectives on Approximation and Sampling Theory – Festschrift in honor of Paul Butzer’s 85th birthday. Birkhäuser. (In press.)
  2. Brigitte Forster: Splines and Multiresolution Analysis. (Invited contribution.) In: Otmar Scherzer (Ed.): Handbook of Mathematical Methods in Imaging. Springer, 2010. pp. 1231–1270. (First edition. Second edition in press.)
  3. 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.

Theses

  1. Dissertation: Anharmonische Fourier-Reihen zur Signal-Analyse. Technische Universität
    München, 2001 (German). Awarded by the Hurwitzgesellschaft zur Förderung der Mathematik an der TU München, November 2001.
  2. Diploma Thesis: Wavelets zur Behandlung von Differentialoperatoren. Technische Universität München, 1998 (German). Awarded by the Hurwitzgesellschaft zur Förderung der Mathematik an der TU München, June 1999.

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.
Universitäre Selbstverwaltung
  • Vorsitzende des Ständigen Promotionsausschusses
  • Stellvertretende Leitung FORWISS
  • Gewähltes Mitglied des Fakultätsrats
  • Vertrauensdozentin für die Bayerische Elite-Akademie
  • Repräsentant der GAMM und der Deutschen Mathematiker Vereinigung DMV an der Universität Passau
  • Mitglied im AcademiaNet
  • Aufbau und Leitung des Passauer Mathematik-Museums
  • Verantwortliche für die Brückenkurse
  • Mitglied des Editorial Board der Zeitschrift IJMMS - International Journal for Mathematics and Mathematical Sciences
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Universität Passau
Fakultät für Informatik und Mathematik
Professur für Angewandte Mathematik
Innstraße 33
D-94032 Passau

 

 

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Sekretariat

Raum: 230 IM
Telefon: 0851 / 509-3134
Telefax: 0851 / 509-3137
E-Mail: Gislinde.Oberlaenderatuni-passau.de

Sprechzeiten

Montag - Donnerstag: 14.15 - 16.15 Uhr
Freitag 13.15 - 14.30 Uhr
Und nach Vereinbarung.