Using a different method — the sphere method, which is based on the technique of changing the integral on a plane into the integral on a hemisphere, we give some concise inverse formulas of the Radon transforms of functions with support in a cone with vertex at the origin and flare angle less than π/2, or with compact support. These formulas are easy for the computer to operate and thus can be applied in the imaging techniques of computerized tomography.

中文翻译：

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Radon变换反问题的球面法

使用另一种方法-球面法，该方法基于将平面上的积分更改为半球上的积分的技术，我们给出了函数的Radon变换的一些简明逆公式，这些函数的Radon变换在顶点处具有圆锥的圆锥上得到支持原点和耀斑角小于π/ 2，或带有紧凑支撑。这些公式易于计算机操作，因此可以应用于计算机断层扫描的成像技术。