4 March 2013 Reconstruction of the optical properties of inhomogeneous medium from photoacoustic signal with lp sparsity regularization
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A method to reconstruct the optical properties in the inhomogeneous medium from the photoacoustic (PA) signal is discussed. The forward modeling of the propagations of the excitation light and of the photoacoustic pressure is carried out with the finite element method. The inverse problem is formulated with a linear equation relating the optical properties and time-domain PA signals. By solving the inverse problem, the distribution of the optical properties in the optically inhomogeneous medium is reconstructed. The measurement noise and the mismatches between the actual measurement conditions and the forward model cause artifacts in the reconstructed image. To reduce the artifacts and to obtain high resolved reconstructed image, we uses the lp sparsity regularization method which minimizes the lp norm of the solution of the inverse problem. It is demonstrated by some numerical simulations that the regularization method using the lp norm obtains a sparse distribution of the changes in the optical properties. The images reconstructed with the lp sparsity regularization are compared those with truncated singular value decomposition.
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Shinpei Okawa, Shinpei Okawa, Takeshi Hirasawa, Takeshi Hirasawa, Toshihiro Kushibiki, Toshihiro Kushibiki, Miya Ishihara, Miya Ishihara, } "Reconstruction of the optical properties of inhomogeneous medium from photoacoustic signal with lp sparsity regularization", Proc. SPIE 8581, Photons Plus Ultrasound: Imaging and Sensing 2013, 858135 (4 March 2013); doi: 10.1117/12.2003656; https://doi.org/10.1117/12.2003656

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