180 citations · 1.2k across the 100 of their papers we have counts for
4 papers · 1 filter
Exact Series Reconstruction in Photoacoustic Tomography with Circular Integrating Detectors
G. Zangerl, O. Scherzer, M. Haltmeier
A method for photoacoustic tomography is presented that uses circular integrals of the acoustic wave for the reconstruction of a three-dimensional image. Image reconstruction is a…
A Reconstruction Algorithm for Photoacoustic Imaging based on the Nonuniform FFT
M. Haltmeier, O. Scherzer, G. Zangerl
Fourier reconstruction algorithms significantly outperform conventional back-projection algorithms in terms of computation time. In photoacoustic imaging, these methods require int…
Sparse Regularization with Penalty Term
Markus Grasmair, Markus Haltmeier, Otmar Scherzer
We consider the stable approximation of sparse solutions to non-linear operator equations by means of Tikhonov regularization with a subquadratic penalty term. Imposing certain ass…
On Steepest-Descent-Kaczmarz Methods for Regularizing Systems of Nonlinear Ill-posed Equations
A. De Cezaro, M. Haltmeier, A. Leitao +1
We investigate modified steepest descent methods coupled with a loping Kaczmarz strategy for obtaining stable solutions of nonlinear systems of ill-posed operator equations. We sho…