Dr. Jürgen Frikel
eMail:
frikel
ma.tum.de
Now at Helmholtz Zentrum München
PERSONAL HOMEPAGE 
CV of Jürgen Frikel
Research Interests
- Limited angle x-ray tomography
- Photoacoustic tomography
- Inverse Problems in Imaging
- Mathematical Image Analysis
- Computational Harmonic Analysis
- Approximation Theory
News & Links
- Together with Frank Filbir (IBB, Helmholtz Zentrum München), I organized a minisymposium on Fourier analytic methods in tomographic image reconstruction at Applied Inverse Problems Conference 2013 , Daejeon, Korea, July 1-5, 2013.
- Summer School "Image Reconstruction, Mathematics and Applications" , Munich, July 2012
- Summer School "New Trends and Directions in Harmonic Analysis, Fractional Operator Theory, and Image Analysis", Inzell, September 2012
- Oberseminar Mathematische Methoden in der Bildverarbeitung
Publications
- Characterization and reduction of artifacts in limited angle tomography, joint with Eric Todd Quinto, Inverse Problems 29 (12), 125007. [pdf]
- Reconstructions in limited angle x-ray tomography: Characterization of classical reconstructions and adapted curvelet sparse regularization, Dissertation, Technische Universität München, March 2013. [pdf]
- Curvelet sparse regularization for differential phase-contrast X-ray imaging, joint with M. Wieczorek, J. Frikel, J. Vogel, F. Pfeiffer, L. Demaret, T. Lasser, Proceedings of Fully3D, Lake Tahoe, USA, June 2013. [pdf]
- Sparse regularization in limited angle tomography, Appl. Comput. Harmon. Anal. 34, (2013), 117–141. [pdf]
- Short communication: Dimensionality reduction of curvelet sparse regularizations in limited angle tomography , Proceedings in Applied Mathematics and Mechanics, Volume 11, Issue 1, pages 847–848, Dec. 2011.
- A new framework for sparse regularization in limited angle x-ray tomography , IEEE International Symposium on Biomedical Imaging: From Nano to Macro, p. 824 - 827, April 14 - 17, 2010. [pdf].
Student projects
Talks & Presentations
- Invited talk at the Mini Workshop on Applied Harmonic Analysis and Tomography on Sparse regularization for x-ray computed tomography, DTU, Department of Applied Mathematics and Computer Science, Copenhagen, August 20, 2013.
- Invited talk at the 14th International Conference in Approximation Theory on Spectral methods for image reconstruction from spherical means, San Antonio, TX, USA, April 7 - 10, 2013.
- Invited talk at Süddeutscher Workshop Approximationstheorie on Characterization and reduction of artifacts in limited angle x-ray tomography, Passau, Germany, February 8, 2013.
- Invited talk at the Institut für Mathematik, Universität zu Lübeck on Characterization and reduction of artifacts in limited angle x-ray tomography, Lübeck, December 13, 2012.
- Invited talk in the Applied Math seminar at Claremont Graduate University on Kernel based methods for image reconstruction from spherical means, Claremont, CA, USA, October 31, 2012.
- Invited talk on Spectral methods for image reconstruction from spherical means at the AMS Western Section Meeting , Special Session on Inverse Problems and Wave Propagation , Tucson, AZ, USA, October 27-28, 2012.
- Talk and poster presentation on Curvelet reconstructions in limited angle x-ray tomography at the Summer School: New Trends and Directions in Harmonic Analysis, Fractional Operator Theory, and Image Analysis , Inzell, Germany, September 17-21, 2012.
- Invited talk at tum.reconstruction on Tomographic reconstruction at a limited angular range, Munich, Germany, June 15, 2012.
- Talk at SIAM Conference on Imaging Sciences on Adapted curvelet sparse regularization in limited angle tomography, Philadelphia, USA, May 20, 2012.
- Invited talk at the Nordic Tomography Workshop on Adapted curvelet reconstructions in limited angle tomography, University of Helsinki, Finland, May 7, 2012.
- Invited talk at ESI Workshop on "Computational Inverse Problems" on Sparse regularization in limited angle tomography, Erwin Schrödinger Institute, Vienna, Austria, April 24, 2012
- Invited talk at the Helmholtz-Workshop: Mathematiks for photoacoustic imaging III on An integral geometric derivation of inversion formulas for the spherical mean Radon transform, Zirkelstein, Germany, April 2 - April 5, 2012.
- Invited Colloquium talk at the University of Connecticut on Sparse regularization in limited angle tomography, Storrs, CT, USA, October 18, 2011.
- Invitied Colloquium talk at Tufts University on Sparse regularization in limited angle tomography, Medford, MA, USA, October 14, 2011.
- Invited talk at the DMV Minisymposium "Approximationsmethoden und schnelle Algorithmen" on A new framework for tomographic reconstruction at a limited angular range, Köln, September 22, 2011.
- Invited talk at the 55. Workshop Approximationstheorie on Curvelet sparse regularization in limited angle tomography, Eichstätt, July 15, 2011.
- Talk at the Section S21 "Mathematical image processing" at the 82nd Annual Meeting of the GAMM on Dimensionality reduction of curvelet sparse regularizations in limited angle tomography, Graz, Austria, April 18 - 21, 2011.
- Invited talk at the Helmholtz-Workshop: Mathematiks for photoacoustic imaging II on Curvelets for Limited Angle Tomography, Riedelhof, March 28 - April 1, 2011.
- Talk at the 21. Rhein-Ruhr-Workshop on Sparse regularization in limited angle tomography, Königswinter, February, 2011.
- Poster presentation at the IEEE International Symposium on Biomedical Imaging: From Nano to Macro on A new framework for sparse regularization in limited angle x-ray tomography, Rotterdam, April, 2010, Poster.
Teaching
Supervised Student Projects
- Maria Angela Narduzzo (Exchange student on ERASMUS-Placement program), Master’s thesis in mathematics on Fast kernel based reconstruction in computed tomography, University of Padova, 2013.
- Matthias Wieczorek, Master thesis, Curvelet sparse regularization for differential phase-contrast X-ray imaging, 2012.
- Thomas Wiatowski, Master thesis, Fast Kernel Based Image Reconstruction for Photoacoustic Tomography, 2012.
- Sebastian Schmelcher, Master thesis, A fast curvelet transform for sparse reconstruction in limited angle tomography, 2012.
- Thomas Fink, Approximative Inversion des sphärischen Mittelwertoperators durch Reihenentwicklung, 2012.
- Claudia Nilles, Diplomarbeit Compressed Sensing und der Rekonstruktions-Algorithmus NESTA, 2010.
Curriculum Vitae
