基于康普顿散射的能谱数据重建电子密度图像

Electron Density Image Reconstruction from Compton Scattered Energy Spectral Data

提出一种基于能谱和行扫描的康普顿散射成像方法。该方法通过逐行扫描 ,把一个较大的图像重建问题分解成几个独立的小而容易解决的问题进行重建。对于正向方程中源于非扫描行的衰减作用 ,利用已重建行的像素值来计算 ;对源于扫描行自身的衰减作用 ,用逐步近似 ( SAP)的方法来计算。为了减小误差在不同扫描行之间的传播 ,利用透射数据对重建结果进行校正。实验证明 ,该方法速度快、可靠性高 ,易于实现。

A new algorithm is presented for reconstruction of electron density image by Compton scattered energy spectral data obtained from line scanning of the sample. As a result of the line scanning experimental modality, the reconstruction problem can be divided into a series of tractable independent problems. In this algorithm, the attenuations of the incident and the scattered photons originated from the pixels other than the scanning line are evaluated with the reconstructed pixel values. The attenuations originated from the scanning line are considered in a successive approximation process (SAP). For reducing the error propagations among scanning lines, the transmission data are used for rectifying the scattering reconstruction. Simulational results prove that the algorithm is fast and reliable.