Radon变换的计算机模拟

Computerized Simulation on Radon Transform

从数学上,严格论述了Radon变换的概念和数学意义。将Radon变换的数学坐标系统直接建立在物理场上,不仅将抽象的数学模型直观化,而且使Radon变换的物理意义简单明了。用三峰函数模拟了三维物体的切片,计算了该模拟平面场全方向180°范围内、角度间隔为1°的全部投影,从而给出了Ra-don变换应用于光学层析(OCT)的方法。

The conception and mathematical significance to Radon transform were accurately dissertated in mathematics. Mathematical reference frames used to Radon transform were directly built on the physical field. Not only was the abstract mathematical model made visualization,but also did the physical significance to Radon transform get into sim- pleness. With a slice of 3-D field simulated with three-peaked Gauss function, the simulated 2-D field was projected to 1-D straight lines in all directions from 0° to 180° by step 1°,so that the technique with which the Radon transform was used to optical computerized tomography （OCT） was given out.