Completed Projects
- Adaptive Approximation Algorithms for Sparse Data Representation (2008-2014)
DFG project within the DFG Priority Program 1324 (Mathematical methods for extracting quantifiable information from complex systems)
In Kooperation mit Armin Iske, University of Hamburg
Teaching
- Research seminar: Numerische Analysis (German) (SS 2011)
Thursday 12.30 Uhr - 14.00 Uhr, Seminarraum NAM (2 SWS) - Research seminar: Numerische Analysis (German) (WS 2010/2011)
Thursday 12.30 Uhr - 14.00 Uhr, Seminarraum NAM (2 SWS)
Workshops
- GAMM Annual Conference 2011 (Talk)
April 18 - 21, 2011 in Graz (Österreich) - 21. Rhein-Ruhr-Workshop
Februar 04 - 05, 2011 in Königswinter - 2nd Annual Meeting of SPP 1324 (Talk)
Oktober 27 - 29, 2010 in Eisenach - Workshop on Nonlinear Approximation
May 27 - 28, 2010 in Marburg - Sparsity and Modern Mathematical Methods for High Dimensional Data (Talk)
April 06 - 10, 2010 in Brüssel (Belgien) - 13th International Conference on Approximation Theory in San Antonio (Talk)
March 7 - 10, 2010 in Texas (USA) - 20. Rhein-Ruhr-Workshop
February 12 - 13, 2010 in Gemen - 1st Annual Meeting of SPP 1324
November 5 - 6, 2009 in Berlin - SAMPTA '09
May 18 - 22, 2009 in Marseille (Frankreich) - Workshop on Approximation Theory and Signal Analysis
March 21 - 24, 2009 in Lindau - 19. Rhein-Ruhr-Workshop (Talk)
February 06 - 07, 2009 in Mülheim an der Ruhr - Studierendenkonferenz im Rahmen der DMV 2008 an der Friedrich-Alexander-Universität Erlangen-Nürnberg (Talk)
September 15 - 16, 2008 in Erlangen
Publications
- Optimal representation of piecewise Hölder smooth bivariate functions by the easy path wavelet transform
Gerlind Plonka, Armin Iske, Stefanie Tenorth
Journal of Approximation Theory 176, 2013 (42-67, revised preprint as download) - Optimally sparse image representation by the easy path wavelet transform
Gerlind Plonka, Stefanie Tenorth, Armin Iske
International Journal of Wavelets, Multiresolution and Information Processing 10(1), 2012 (1250007 (20 pages), revised preprint as download) - Adaptive Waveletmethoden zur Approximation von Bildern
Stefanie Tenorth
Universität Göttingen, Juli 2011 (Dissertation) - A hybrid method for image approximation using the easy path wavelet transform
Gerlind Plonka, Stefanie Tenorth, Daniela Rosca
IEEE Transactions on Image Processing 20(2), 2011 (372-381, preprint as download) - Image approximation by a hybrid method based on the easy path wavelet transform
Gerlind Plonka, Stefanie Tenorth, Daniela Rosca
Asilomar'09 Proceedings of the 43rd Asilomar conference on Signals, systems and computers, 2009 (442-446. (ISBN: 978-1-4244-5825-7)) - Nonlinear locally adaptive wavelet filter banks
Gerlind Plonka, Stefanie Tenorth
Sampling Theory and Applications (SampTA'09), L. Fesquet and B. Torresani (eds.), 2009 (381–384, preprint as download) - Verallgemeinerte Rudin-Osher-Fatemi-Regularisierung zur Signalentstörung
Stefanie Tenorth
Universität Duisburg-Essen, Fachbereich Mathematik, Januar 2008 (Diploma thesis, supervisor: Prof. Dr. Plonka-Hoch)
Software
- Easy Path Wavelet Transform (EPWT)
Wavelet shrinkage on paths for denoising of scattered data including an adaptive deterministic and an adaptive random path construction.
Dennis Heinen, Gerlind Plonka, Stefanie Tenorth