23 February 2010 Photoacoustic image reconstruction for linear scanning geometry using particle swarm optimization method
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Photoacoustic reconstruction for linear scanning geometry includes the delay-and-sum method, the spectral-domain method and the time-domain based method. In practice, the data collection using the planar detection geometry is not full-view, causing the details of the reconstructed object to be blurred and distorted. In addition to the exact formulation, we adopt a heuristic reconstruction method. In this paper, we demonstrate photoacoustic reconstruction for linear scanning geometry by formulating the image reconstruction into an optimization problem, and solve the problem with the particle swarm optimization (PSO) method. In this method, first we guess the initial optical energy distribution. According to photoacoustic model, described by the Helmholtz equation, the generated photoacoustic wave can be collected with planar detection geometry. The spherical Radon transform is adopted for the simulation of arbitrarily guessed optical energy distribution. Next we compare the collected signals generated from the guessed optical energy distribution with the measured signals by the sum of squared differences. By minimizing the error sum among various guesses, the initial optical energy distribution is obtained. In this regard, no limited-view is encountered. To guess the initial distribution efficiently such that the sum of the squared differences is minimized is an optimization problem with the dimension of unknowns being the size of the initial optical energy distribution. PSO is a derivative-free and population-based stochastic method that has been used to solve various optimization problems due to its simplicity and efficiency. High computational costs aroused from a large number of particles required can be alleviated with the use of the graphic processing units (GPUs). The proposed reconstruction method based on the PSO algorithm along with the spherical Radon transform is implemented on a NVIDIA Telsa C1060 GPU.
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Yae-Lin Sheu, Weichung Wang, Yukai Hung, Pai-Chi Li, "Photoacoustic image reconstruction for linear scanning geometry using particle swarm optimization method", Proc. SPIE 7564, Photons Plus Ultrasound: Imaging and Sensing 2010, 75640H (23 February 2010); doi: 10.1117/12.843612; https://doi.org/10.1117/12.843612

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