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Preprints: Institute of Applied Math

Außer den hier genannten Titeln sind einige ältere Abschlussarbeiten von Studenten und Mitarbeitern des Instituts verfügbar.

Veröffentlichungen der Arbeitsgruppe Optimierung/Publications of the Interest Group on Optimization (Prof. Maurer)

2011

Frank Natterer: Reflection imaging without low frequencies

Frank Natterer: Photo-acoustic inversion in convex domains

2010

Frank Natterer: Bildgebung mit der Wellengleichung

Frank Natterer: Possibilities and limitations of time domain wave equation imaging

Frank Natterer: Ultrasound mammography with a mirror

2009

Frank Natterer: Acoustic Imaging in 3D

Frank Natterer: Proust und die Mathmatik

2008

Frank Natterer: Incomplete data in wave equation imaging

Frank Natterer: Acoustic mammography in the time domain

2007

Frank Natterer: The attenuated Radon transform for complex attenuation

Frank Natterer: Inversion of the Fourier transform without low frequencies

2006

Frank Natterer: Imaging and Inverse Problems of Partial Differential Equations

Frank Natterer und Frank Wübbeling: Inversion of soltice data

Frank Natterer: Initial value techniques for the Helmholtz and Maxwell equations

Alexander Katsevich and Frank Natterer: Ultrasound tomography with sources on a line

Frank Natterer: Reflectors in wave equation imaging

Frank Natterer: Abschiedsvorlesung

2005

Frank Natterer: Ultrasound tomography with fixed linear arrays of transducers

Frank Natterer and Frank Wübbeling: Ultrasonic image reconstruction from backscatter

Frank Natterer: Acoustic tomography in a slab

Holger Bischof und Frank Wübbeling: Parallelisierung von PET-Rekonstruktionen

Frank Natterer und Frank Wübbeling: Scatter Correction in PET based on Transport Models

Frank Natterer: Ultrasonic image reconstruction via plane wave stacking

2004

Frank Natterer and Frank Wübbeling: Marching Schemes for Inverse Acoustic Scattering Problems

Frank Natterer: A simple method for finding the support of a scatterer

Frank Natterer: Range conditions in Tomography

Frank Natterer: Inverting the attenuated vectorial Radon transform

2003

Jens Klein: Inverting the spherical Radon transform for physically meaningful functions

Frank Natterer: Marching Schemes for Inverse Helmholtz and Maxwell Problems

Frank Natterer: An error bound for the Born approximation

2002

Dierkes/Dorn/Natterer/Palamodov/Sielschott: Frechet Derivatives for some Bilinear Inverse Problems

Frank Natterer: Inversion of the attenuated solstice transform

2001

Matthias Vögeler: Ein Propagations-Rückpropagations-Algorithmus zur Lösung des inversen Streuproblems für die Maxwell-Gleichungen

Karsten Fourmont: Schnelle Fourier-Transformation bei nichtäquidistanten Gittern und tomographische Anwendungen

Frank Natterer: The Kaczmarz Method in Nonlinear Imaging. Video of a talk at MSRI

2000

m4_link(2000/vogeler/paper.pdf,Matthias Voegeler: Die Gel'fand-Levitan-Theorie in der Streutheorie der Quantenmechanik)

Frank Natterer: Laudatio zur Emeritierung von Professor Dr. Colin W. Cryer

Viktor Palamodov: Lagrange Analysis

Frank Natterer: Possibilities and Limitations of Tomography

Frank Natterer: Inversion of the attenuated Radon transform

Thomas Dierkes: Rekonstruktionsverfahren zur optischen Tomographie

Helmut Sielschott: Rückpropagationsverfahren für die Wellengleichung in bewegtem Medium

Thomas Dierkes: Numerische Behandlung inverser Sturm-Liouville-Probleme

1999

Frank Natterer: Numerical solution of inverse evolution problems via the nonlinear Levitan equation

Frank Natterer: Sampling of functions with symmetries

Frank Natterer: Spatial resolution of the PBP algorithm in acoustical inverse scattering

Frank Natterer: An Initial Value Approach to the Inverse Helmholtz Problem at Fixed Frequency

Frank Natterer: Noise in 2D SPECT and in SOLSTICE

1998

Frank Natterer: Numerical solution of inverse evolution problems via the nonlinear Levitan equation

Frank Natterer: A constructive solution to the inverse scattering problem of the wave equation at one frequency and plane wave irradiation

Frank Natterer: A discrete Gelfand - Levitan theory

Frank Natterer: Skript Gewöhnliche Differentialgleichungen

Frank Natterer: Numerical Methods in Tomography

Frank Wuebbeling: A numerical scheme for solving the Acoustical inverse scattering problem

Frank Natterer: Reconstruction algorithm for the S-camera

1997

Frank Natterer: Resolution and Reconstruction for a Helical CT-Scanner

Frank Natterer: Numerical Solution of Bilinear Inverse Problems

Frank Natterer: Algorithms in Tomography

Frank Natterer: An algorithm for 3D ultrasound tomography

Frank Natterer: An initial value approach for inverse Helmholtz Problems

Helmut Sielschott and Willy Derichs: Use of collocation methods under inclusion of a priori information in acoustic pyrometry.

Helmut Sielschott and Willy Derichs: Tomography with few data: Use of collocation methods in acoustic pyrometry

Oliver Dorn: Das inverse Transportproblem in der Lasertomographie

Frank Wübbeling und Bernd Setzepfandt: Tomography of flames in combustion chambers

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