计算与应用数学拔尖博士生系列论坛——On iterative algorithms for quantitative photoacoustic tomography in the radiative transport regime
主 题: 计算与应用数学拔尖博士生系列论坛——On iterative algorithms for quantitative photoacoustic tomography in the radiative transport regime
报告人: Wang Chao (Mathematical Sciences, Peking University)
时 间: 2017-12-01 12:00-13:30
地 点: Room 1418, Sciences Building No. 1
12:00-12:30 lunch；12:30-13:30 Talk
Abstract: We present a numerical reconstruction method for quantitative photoacoustic tomography (QPAT), based on the radiative transfer equation (RTE), which models light propagation more accurately than diffusion approximation (DA). We investigate the reconstruction of absorption coefficient and scattering coefficient of biological tissues. An improved fixed-point interative method to retrieve the absorption coefficient, given the scattering coefficient, is proposed for its cheap computational cost; the convergence of this method is also proved. The Barizilai-Borwein (BB) method is applied to retrieve two coefficients simultaneously. Science the reconstruction of optical coefficients involves the solutions of original and adjoint RTEs in the framework of optimization, an efficient solver with high accuracy is developed from Gao and Zhao (2009 Transp. Theory Stat. Phys. 38 149-92). Simulation experiments illustrate that the improved fixed-point iterative method and the BB method are competitive methods for QPAT in the relevant cases.