A new approach to high contrast and resolution reconstruction in quantitative photoacoustic tomography

A new approach for the reconstruction of optical diffusion and absorption coefficients in quantitative photoacoustic tomography (QPAT) is presented. This approach is based on a Tikhonov-type functional with a regularization term promoting sparsity of the absorption coefficient and a prior involving a Kubelka-Munk absorption-diffusion relation that allows to obtain superior reconstructions. The reconstruction problem is formulated as the minimization of the objective functional subject to the differential constraint given by a photon-propagation model. This problem is solved in the framework of the Pontryagin maximum principle. Results of numerical experiments are presented that demonstrate the ability of the proposed framework to obtain reconstructions of the optical coefficients with high contrast and resolution for different objects.
This is joint work with Anwesa Dey and Souvik Roy. This work was partially supported by the BMBF Project iDeLIVER.

Contatti:
gabriele.ciaramella@polimi.it
carlo.defalco@polimi.it