应用代数重建法编程重建数字图像

对已知和未知数字图像分别沿射线作Radon变换(线积分),用同一种布置射线特殊方法布置射线,每条射线积分步长易知皆为常数。从而,得到已知数字图像每条射线的线积分近似值(“观测值”);易建立未知数字图像线性代数方程组。应用“代数重建法”加法修正迭代编制Matlab程序,用此程序处理“观测值”数据,重建未知数字图像,其数值计算结果较好,与已知数字图像相对误差不超过2%。本文是ART加法修正迭代的基础工作,可为有关部门提供研究“代数重建法”实际应用参考。 

Reconstruct Digital Image by Algebraic Reconstruction Technique Based Programming

Radon transform(line integral) is done on lines along known and unknown digital images, with the same line arrangement each line's integral step is constant. Thus easy to acquire integral approximate value("observed value") of each line on digital image; easy to set up a digital image of unknown linear algebraic equations. Use "Algebraic Reconstruction Technique" addition modified iteration to compile Matlab program, with this program to handle the "measurement vector" data and reconstruct unknown digital image. The relative error between calculated results and known digital image is within 2%. This article is basic research of addition modified iteration ART and provides practical application reference for those who interest in "Algebraic Reconstruction Technique".