摘要
目的提出一种CT图像重建方法,并加以实现。方法分析解析法重建图像的不足,介绍最小二乘法的优化理论,提出基于约束最小二乘法的CT图像重建迭代方法,并计算出迭代解析解。结果约束最小二乘法既能够快速对无噪断层图像和噪化处理后的图像进行重建,清晰度较高,又对噪化处理的图像具有显著的收敛域。结论基于约束最小二乘法可实现CT断层图像重建,在不考虑图像重建算法的时间复杂度时,所提图像重建法可优先用于医学CT图像重建技术中。
Objective To proposea kind of CT image reconstruction method and implement it. Methods Thedeficiencies of the analytical method were analyzed, the optimization theory of the least square method were introduced,and an iterative method for CT image reconstruction based on constrained least square method was proposed, and theiterative analytical solution was calculated. Results The constrained least square method can not only quicklyreconstruct noise -free tomographic images and noise -processed images, and has high definition, but also hasasignificant convergence domain for the noise-processed images. Conclusion The constrained least square method canachieve CT image reconstruction. When the time complexity of the image reconstruction algorithm is not considered, theproposed image reconstruction method can be preferentially used in medical CT image reconstruction technology.
作者
朱俊林
ZHU Jun-lin(ICU,Nanjing Hospital Affiliated to Nanjing Medical University（Nanjing First Hospital）,Nanjing 210006,China)
出处
《临床医学研究与实践》
2018年第29期7-8,11,共3页
Clinical Research and Practice
关键词
约束最小二乘法
CT
图像重建
迭代法
时间复杂度
constrained least square method
CT
image reconstruction
iterative method
time complexity
