Project Details
Projekt
Multivariate Wavelet Analysis: Constructions and Specific Applications
Applicant
Professor Dr. Stephan Dahlke
Subject Area
Mathematics
Term
from 2001 to 2008
Project identifier
Deutsche Forschungsgemeinschaft (DFG) - Project number 5334062
This project is concerned with the construction and the applications of wavelets. We are especially interested in nonseparable multivariate wavelets with respect to general scaling matrices. The use of general scalings provides some principal advantages. One aim of this project is to investigate if these superiorities really count when it comes to practical applications, or if they are wasted by an overhead of technical difficulties. We therefore want to develop construction principles which yield suitable wavelet/multiwavelet bases in an economical way. We shall focus on wavelets with some additional features such as certain interpolation properties. Furthermore, we intend to investigate if general scaling matrices can be helpful in certain applications from signal/image analysis, especially concerning denoising algorithms for general kinds of noise. The analysis will be accompanied by the development of efficient data structures which are adapted to the specific requirements of wavelet algorithms.
DFG Programme
Priority Programmes
