@book{DahlkeMaass1994, author = {Dahlke, Stephan and Maaß, Peter}, title = {The affine uncertainty principle in one and two dimensions}, series = {Preprint / Universit{\"a}t Potsdam, Fachbereich Mathematik}, volume = {1994, 01}, journal = {Preprint / Universit{\"a}t Potsdam, Fachbereich Mathematik}, publisher = {Univ.}, address = {Potsdam}, pages = {17 Bl.}, year = {1994}, language = {en} } @book{DahlkeMaass1994, author = {Dahlke, Stephan and Maaß, Peter}, title = {A continuous wavelet transform on tangent bundles of spheres}, series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik}, volume = {1994, 16}, journal = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik}, publisher = {Univ.}, address = {Potsdam}, pages = {18 Bl.}, year = {1994}, language = {en} } @article{DahlkeMaass1995, author = {Dahlke, Stephan and Maaß, Peter}, title = {The affine uncertainty principle in one and two dimensions}, year = {1995}, language = {en} } @unpublished{DickenMaass1995, author = {Dicken, Volker and Maaß, Peter}, title = {Wavelet-Galerkin methods for ill-posed problems}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-13890}, year = {1995}, abstract = {Projection methods based on wavelet functions combine optimal convergence rates with algorithmic efficiency. The proofs in this paper utilize the approximation properties of wavelets and results from the general theory of regularization methods. Moreover, adaptive strategies can be incorporated still leading to optimal convergence rates for the resulting algorithms. The so-called wavelet-vaguelette decompositions enable the realization of especially fast algorithms for certain operators.}, language = {en} } @article{LouisMaass1993, author = {Louis, Alfred K. and Maaß, Peter}, title = {Contour reconstructions for 3D X-Ray CT-Images}, year = {1993}, language = {en} } @article{LouisMaassRiederetal.1994, author = {Louis, Alfred K. and Maaß, Peter and Rieder, Andreas and Stark, H.-G.}, title = {Wavelets and digital image processing}, year = {1994}, language = {en} } @article{Maass1996, author = {Maaß, Peter}, title = {Families of orthogonal 2D wavelets}, year = {1996}, language = {en} } @article{Maass1996, author = {Maaß, Peter}, title = {Non-separable orthogonal 2D-wavelets}, year = {1996}, language = {en} } @article{Maass1994, author = {Maaß, Peter}, title = {Wavelet galerkin methods for inverse problems}, year = {1994}, language = {en} } @unpublished{MaassPereverzevRamlauetal.1998, author = {Maaß, Peter and Pereverzev, Sergei V. and Ramlau, Ronny and Solodky, Sergei G.}, title = {An adaptive discretization for Tikhonov-Phillips regularization with a posteriori parameter selection}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-14739}, year = {1998}, abstract = {The aim of this paper is to describe an efficient strategy for descritizing ill-posed linear operator equations of the first kind: we consider Tikhonov-Phillips-regularization χ^δ α = (a * a + α I)^-1 A * y ^δ with a finite dimensional approximation A n instead of A. We propose a sparse matrix structure which still leads to optimal convergences rates but requires substantially less scalar products for computing A n compared with standard methods.}, language = {en} }