The different research directions in signal and image processing are diverse and heterogeneous. This priority programme will focus on twotopics: - Non-linear and non-paramteric models for time series, - Local, adaptive methods in image processing. To this end, methods from the following scientific disciplines will be developed and analysed: identification of dynamical systems, non- and semiparametric models for time series, spatio-temporal dynamics, diffusion filters, stochastic methods in image processing and waveletanalysis. The scientific aims center around the development of mathematically justified algorithms and methods, the mathematical analysis of thesealgorithms and methods as well as the investigation of connections between methods from time series analysis and image processing.Moreover, the interdisciplinary comparison of these methods, which are developed by the participating scientists from numerical analysis, physics and statistics, is of particular importance for this priority programme. This comparison should be based on a common set of test problems from medicine and geophysical/enviromental sciences.
DFG Programme
Priority Programmes
Projects
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1Koordinatorprojekt
(Applicant
Maaß, Peter
)
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A control problem in medical image processing
(Applicant
Maaß, Peter
)
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An interdisciplinary evaluation of mathematical methods in signal and image processing
(Applicant
Maaß, Peter
)
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Analyse verborgener Diffusionsprozesse
(Applicant
Radons, Günter
)
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Analysis and postprocessing of space-time compressed flow computations
(Applicant
Rumpf, Martin
)
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Analysis and postprocessing of space-time compressed flow computations
(Applicant
Turek, Stefan
)
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Application of nonparametric modelling and resampling methods for statistical inference on the structure of multivariate time series
(Applicant
Mammen, Enno
)
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Development of mathematical methods for analysing multivariate processes in the inverse setting. Development of methods for high-dimensional and spatio-temporal processes. Generalisation of the methods for point processes
(Applicant
Timmer, Jens
)
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Edge Preserving Smoothing in Time Series and Digital Images: From Abstract Principles to Practical Applications
(Applicant
Winkler, Gerhard
)
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Ein einheitlicher Ansatz für Entrauschungsverfahren in der Bildanalyse durch Kombination von lokaler Glättung und regularizierung
(Applicant
Franke, Jürgen
)
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Morphological methods in 3D image fusion and sequence analysis in medical imaging
(Applicant
Rumpf, Martin
)
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Multivariate Wavelet Analysis: Constructions and Specific Applications
(Applicant
Dahlke, Stephan
)
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Neue mathematische Methoden zur Verknüpfung und Vervollständigung von in Raum und Zeit unregelmäßig aufgenommenen Straßenverkehrsdaten
(Applicant
Albeverio, Sergio
)
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Neue mathematische Methoden zur Verknüpfung und Vervollständigung von in Raum und Zeit unregelmäßig aufgenommenen Straßenverkehrsdaten
(Applicant
Schreckenberg, Michael
)
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Nichtparametrische statistische Inferenz für Zeitreihen mit unbeobachteten Komponenten
(Applicant
Dahlhaus, Rainer
)
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Nonlinear analysis of multi-dimensional signals: local adaptive estimation of complex motion and orientation patterns
(Applicant
Mester, Rudolf
)
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Nonlinear analysis of multi-dimensional signals: local adaptive estimation of complex motion and orientation patterns
(Applicants
Barth, Erhardt
;
Garbe, Christoph
;
Mester, Rudolf
;
Scharr, Hanno
)
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Nonlinear analysis of multi-dimensional signals: local adaptive estimation of complex motion and orientation patterns
(Applicant
Barth, Erhardt
)
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Nonlinear analysis of multi-dimensional signals: local adaptive estimation of complex motion and orientation patterns
(Applicant
Jähne, Bernd
)
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Ordinale Zeitreihenanalyse
(Applicant
Bandt, Christoph
)
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Parameter estimation in dynamical systems
(Applicant
Timmer, Jens
)
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Recursive algorithms for locally stationary processes
(Applicant
Dahlhaus, Rainer
)
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Rekonstruktion von erweiterten Phasenräumen und Parameterräumen aus nicht-stationären Zeitreihen
(Applicant
Parlitz, Ulrich
)
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Relations between nonlinear filters in digital image processing
(Applicant
Weickert, Joachim
)
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Restoration and Post Processing of Optical Flows
(Applicants
Garbe, Christoph
;
Preusser, Tobias
;
Rumpf, Martin
)
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Semiparametrische Modellierung heteroskedastischer Zeitreihen mit fraktionellen LARCH-Prozessen
(Applicant
Beran, Jan
)
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Signal Dynamik im Waveletphasenraum: die Wavelet Deformationsalgebra und ihre Anwendung bei der Analyse seismischer Signale
(Applicant
Holschneider, Matthias
)
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Spatially adaptive detection of local defects in time series and stochastic processes on the integer lattice Z2
(Applicant
Franke, Jürgen
)
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Structural adaptive smoothing procedures with applications in imaging and time series
(Applicant
Spokoiny, Vladimir
)
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Synchronization approach to analysis of multivariate data
(Applicant
Kurths, Jürgen
)
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The advancement of time-variant and non-linear methods for describing directed effective connectivity in interaction networks. Applications to the investigation of EEG and fMRI signals
(Applicant
Leistritz, Lutz
)
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Wavelet- and Frame-based treatments of variational problems with applications in geophysical data processing (in particular ocean margin analysis)
(Applicant
Teschke, Gerd
)
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Zeitreihenanalyse von Bifurkationen elasto-plastischen Typs auf der Grundlage von extrem kurzen Beobachtungszeiten
(Applicant
Kantz, Holger
)
