Markus Haltmeier, Thomas Berer, Sunghwan Moon, Peter Burgholzer
Published 2016-05-30Version 1
Increasing the imaging speed is a central aim in photoacoustic tomography. In this work we address this issue using techniques of compressed sensing. We demonstrate that the number of measurements can significantly be reduced by allowing general linear measurements instead of point wise pressure values. A main requirement in compressed sensing is the sparsity of the unknowns to be recovered. For that purpose we develop the concept of sparsifying temporal transforms for three dimensional photoacoustic tomography. Reconstruction results for simulated and for experimental data verify that the proposed compressed sensing scheme allows to significantly reducing the number of spatial measurements without reducing the spatial resolution.
Comments: 21 pages; 9 figures
Spatial resolution of different discretizations over long-time for the Dirac equation with small potentials
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On the role of total variation in compressed sensing - structure dependence
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