Kernel based image reconstruction from spherical Radon data

Authors

Thomas Wiatowski

Reference

Master's Thesis, TU München, Germany, Nov. 2012.

Abstract

The reconstruction of images from data modeled by the spherical Radon transform plays an important role in photoacoustic tomography, a rapidly developing modality for in vivo imaging. We provide two novel kernel based reconstruction algorithms adapted to this type of data: Optimal recovery and algebraic reconstruction technique. The thesis details the algorithms’ derivation, L2-error estimates in terms of the data density, convergence results, and a fast implementation. Several numerical examples for real and artificially generated data are included.

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