Zhang Chi, Wang Yuanyuan
Department of Electronic Engineering, Fudan University, Shanghai, China.
J Opt Soc Am A Opt Image Sci Vis. 2008 Oct;25(10):2436-43. doi: 10.1364/josaa.25.002436.
Although many algorithms are available for full-view photoacoustic tomography (PAT), no exact and stable algorithm for limited-view PAT has been proposed. In this paper the deconvolution reconstruction (DR) algorithm is proposed for both full-view and limited-view PAT. In the DR algorithm, first a new function is constructed from detected photoacoustic signals and approximately simplified, and then the tissue's electromagnetic absorption is derived from this function on the basis of Fourier-based deconvolution. Computer simulations are carried out to compare the DR algorithm with two popular PAT algorithms, the time-domain reconstruction (TDR) and the filtered back projection (FBP). Although the error of the DR algorithm increases with the size of the detected object, it is shown that the DR algorithm has good precision and strong robustness to noise in the full-view PAT, nearly equivalent to the TDR and FBP. Yet the DR algorithm is more than ten times faster in computation speed. In the limited-view PAT, the DR is superior to the TDR and FBP in terms of both accuracy and robustness to noise.
虽然有许多算法可用于全视角光声断层扫描(PAT),但尚未提出用于有限视角PAT的精确且稳定的算法。本文针对全视角和有限视角PAT提出了反卷积重建(DR)算法。在DR算法中,首先根据检测到的光声信号构建一个新函数并进行近似简化,然后基于傅里叶反卷积从该函数中推导组织的电磁吸收。进行了计算机模拟,将DR算法与两种流行的PAT算法——时域重建(TDR)和滤波反投影(FBP)进行比较。虽然DR算法的误差随着检测对象的大小而增加,但结果表明,在全视角PAT中,DR算法具有良好的精度和对噪声的强鲁棒性,几乎与TDR和FBP相当。然而,DR算法的计算速度要快十几倍。在有限视角PAT中,DR在精度和对噪声的鲁棒性方面均优于TDR和FBP。