Christina Brandt (Osnabrück): Photoacoustic tomography: sparse image reconstruction using shearlets

Mittwoch, 03.12.2014 14:15 im Raum M5
Mathematik und Informatik

Abstract: Recovery of image data from photoacoustic measurements asks for solving the inverse problem to a Cauchy problem for the three-dimensional wave equation. The inversion of the so-called spherical mean value operator can be regularized by minimization of the Tikhonov-functional with l1-penalty in order to promote sparse solutions, i.e. solutions with a few as possible nonzero coefficients in its frame expansion. In this talk, we propose the assumption that the object has a sparse representation in a shearlet frame and we explain how to incorporate the shearlet transformation in an appropriate way into our setting. Moreover, we will give several numerical reconstruction examples.

Angelegt am Donnerstag, 21.08.2014 22:25 von mburg_01
Geändert am Montag, 17.11.2014 14:18 von mburg_01
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Seminar AG Imaging
Oberseminar Angewandte Mathematik