TY  - BOOK
A1  - Dahlke, Stephan
A1  - Maaß, Peter
T1  - The affine uncertainty principle in one and two dimensions
T3  - Preprint / Universität Potsdam, Fachbereich Mathematik
Y1  - 1994
VL  - 1994, 01
PB  - Univ.
CY  - Potsdam
ER  - 
TY  - BOOK
A1  - Dahlke, Stephan
A1  - Maaß, Peter
T1  - A continuous wavelet transform on tangent bundles of spheres
T3  - Preprint / Universität Potsdam, Institut für Mathematik
Y1  - 1994
VL  - 1994, 16
PB  - Univ.
CY  - Potsdam
ER  - 
TY  - JOUR
A1  - Dahlke, Stephan
A1  - Maaß, Peter
T1  - The affine uncertainty principle in one and two dimensions
Y1  - 1995
ER  - 
TY  - INPR
A1  - Dicken, Volker
A1  - Maaß, Peter
T1  - Wavelet-Galerkin methods for ill-posed problems
N2  - 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.
T3  - NLD Preprints - 22 
Y1  - 1995
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-13890
ER  - 
TY  - JOUR
A1  - Louis, Alfred K.
A1  - Maaß, Peter
T1  - Contour reconstructions for 3D X-Ray CT-Images
Y1  - 1993
ER  - 
TY  - BOOK
A1  - Louis, Alfred K.
A1  - Maaß, Peter
A1  - Rieder, Andreas
T1  - Wavelets : Theorie und Anwendungen
Y1  - 1998
SN  - 3-519-12094-1
U6  - https://doi.org/10.1007/978-3-322-80136-4
PB  - Vieweg+Teubner Verlag
CY  - Wiesbaden
ER  - 
TY  - BOOK
A1  - Louis, Alfred K.
A1  - Maaß, Peter
A1  - Rieder, Andreas
T1  - Wavelets : Theorie und Anwendungen
Y1  - 1994
PB  - Teubner
CY  - Stuttgart
ER  - 
TY  - JOUR
A1  - Louis, Alfred K.
A1  - Maaß, Peter
A1  - Rieder, Andreas
A1  - Stark, H.-G.
T1  - Wavelets and digital image processing
Y1  - 1994
ER  - 
TY  - JOUR
A1  - Maaß, Peter
T1  - Families of orthogonal 2D wavelets
Y1  - 1996
ER  - 
TY  - JOUR
A1  - Maaß, Peter
T1  - Non-separable orthogonal 2D-wavelets
Y1  - 1996
ER  - 
TY  - JOUR
A1  - Maaß, Peter
T1  - Wavelet galerkin methods for inverse problems
Y1  - 1994
ER  - 
TY  - INPR
A1  - Maaß, Peter
A1  - Pereverzev, Sergei V.
A1  - Ramlau, Ronny
A1  - Solodky, Sergei G.
T1  - An adaptive discretization for Tikhonov-Phillips regularization with a posteriori parameter selection
N2  - 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.
T3  - NLD Preprints - 48 
Y1  - 1998
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-14739
ER  - 
TY  - JOUR
A1  - Maaß, Peter
A1  - Pereverzev, Sergei V.
A1  - Ramlau, Ronny
A1  - Solodky, Sergei G.
T1  - An adaptive discretization for Tikhonov-Phillips regularization with a posteriori parameter selection
JF  - Preprint NLD
Y1  - 1998
SN  - 1432-2935
VL  - 48
PB  - Univ. Potsdam
CY  - Potsdam
ER  - 
TY  - JOUR
A1  - Maaß, Peter
A1  - Ramlau, Ronny
T1  - Wavelet accelerated iteration methods for hyperthermia treatment planning
Y1  - 1996
ER  - 
TY  - INPR
A1  - Maaß, Peter
A1  - Rieder, Andreas
T1  - Wavelet-accelerated Tikhonov-Phillips regularization with applications
N2  - Contents: 1 Introduction 1.1 Tikhanov-Phillips Regularization of Ill-Posed Problems 1.2 A Compact Course to Wavelets 2 A Multilevel Iteration for Tikhonov-Phillips Regularization 2.1 Multilevel Splitting 2.2 The Multilevel Iteration 2.3 Multilevel Approach to Cone Beam Reconstuction 3 The use of approximating operators 3.1 Computing approximating families {Ah}
T3  - NLD Preprints - 30 
Y1  - 1996
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-14104
ER  - 
TY  - BOOK
A1  - Maaß, Peter
A1  - Rieder, Andreas
T1  - Wavelet-accelerated Tikhonov-Phillips regularization with applications
T3  - Preprint NLD
Y1  - 1996
VL  - 30
PB  - Univ.
CY  - Potsdam
ER  -