论述了由单幅X射线投影进行轴对称物体密度重建的正则化方法。正则化模型的建立根据被重建物体的先验信息确定，对这一数学模型的求解转化为解对称正定线性代数方程组的问题，数值实现容易。仿真计算结果显示了重建方法关于密度界面位置和函数值的精度，验证了正则化方法的抗噪性，保证了测量数据的微小误差不会引起数值解的强烈抖动。

The regularization method for density reconstruction of axially symmetric objects using a single Xray projection is described. The regularization mathematical model is established according to a prior information of the reconstructed object. The numerical solution can be obtained by solving symmetric positive definite systems of linear equations. Numerical simulation examples illustrate the accuracy of the reconstructed density including edges and values. It has been testified that the regularization method is not sensitive to the measured data noise. This ensures that the small error of measured data will not cause strong oscillation of numerical solution.