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轴对称物体X射线层析成像的正则化方法

DOI: 10.11834/jig.20081204

Keywords: 层析成像,图像重建,正则化,代数重构法,Abel逆变换

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Abstract:

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。

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