Dipl.-Math. Jürgen Frikel

Technische Universität München
Zentrum Mathematik - M6
Boltzmannstraße 3
85747 Garching

Room: 03.04.035
Phone: +49-89-289-16841
eMail: frikelma.tum.de

Research Interests

• Computed Tomography at a Limited Angular Range
• Inverse Problems in Imaging
• Mathematical Image Analysis
• Computational Harmonic Analysis
• Approximation Theory

News & Links

• 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

• J. Frikel, Sparse regularization in limited angle tomography, Appl. Comput. Harmon. Anal. (2012), http://dx.doi.org/10.1016/j.acha.2012.03.005. Preprint .
• J. Frikel, 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, December 2011..
• J. Frikel, 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. Preprint.

Student projects

• Wavelets zur Tomosynthese, Diplomarbeit, Dezember 2007. Poster.
  In Kooperation mit Image Diagnost International GmbH .
• 3D Bildrekonstruktion in der Transmissionselektronenmikroskopie, Projektarbeit, April 2006.
  In Kooperatioin mit dem Pathologischen Institut des GSF - Forschungszentrums für Umwelt und Gesundheit, Neuherberg.

Talks & Presentations

• Talk at tum.reconstruction on Tomographic reconstruction at a limited angular range, Munich, Germany, June 15, 2012.
• Talk at SIAM Conference on Imaging Sciences 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.
• Talk at Workshop on Computational Inverse Problems on Sparse regularization in limited angle tomography, Erwin Schrödinger Institute, Vienna, Austria, April 24, 2012
• Colloquium talk at the University of Connecticut  on Sparse regularization in limited angle tomography, Storrs, CT, USA, October 18, 2011.
• Colloquium talk at the 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.
• Curvelet sparse regularization in limited angle tomography, Talk at the 55. Workshop Approximationstheorie , Eichstätt, July 15, 2011.
• Dimensionality reduction of curvelet sparse regularizations in limited angle tomography, Talk at the Section S21 "Mathematical image processing" at the 82nd Annual Meeting of the GAMM , Graz, Austria, April 18 - 21, 2011.
• Curvelets for Limited Angle Tomography, Talk at the Helmholtz-Workshop: Mathematiks for photoacoustic imaging II , Riedelhof, March 28 - April 1, 2011.
• Sparse regularization in limited angle tomography, Talk at the 21. Rhein-Ruhr-Workshop , Königswinter, February, 2011.
• A new framework for sparse regularization in limited angle x-ray tomography, Poster presentation at the IEEE International Symposium on Biomedical Imaging: From Nano to Macro , Rotterdam, April, 2010, Poster.

Teaching

• SS 2012: Hauptseminar "Mathematische Methoden der medizinischen Bildgebung"
• WS 2011/2012: Übungsleitung für die Vorlesung Multivariate Approximation
• SS 2011: Haupseminar Mathematische Methoden der Bildgebung - Inverse Probleme
• WS 2010/2011: Tutor für Functional Analysis
• SS 2010: Tutor für Ferienkurse Analysis I und II
• WS 2009/2010: Hauptseminar "Funktionenräume"
• WS 2007/2008: Tutor für Analysis für Informatiker
• SS 2005: Tutor für Lineare Algebra und Analytische Geometrie II
• WS 2004/2005: Tutor für Lineare Algebra und Analytische Geometrie I & Vorkurs Mathematik

Supervised Student Projects

• 2010: Diplomarbeit - Compressed Sensing und der Rekonstruktions-Algorithmus NESTA

Curriculum Vitae

• since 2011: Research associate at Institute of Biomathematics and Biometry , Helmholtz Zentrum München 
• 2010 - 2011: Research associate at Zentrum Mathematik, Technische Universität München
• 2008 - 2010: PhD Student at GE Healthcare , Image Diagnost  and Zentrum Mathematik, Technische Universität München
• 2002 - 2007: Studies of Mathematics, Diploma, Zentrum Mathematik, Technische Universität München