Durand E P, Rüegsegger P
Institute for Biomedical Engineering, University of Zürich, Switzerland.
Med Phys. 1992 May-Jun;19(3):569-73. doi: 10.1118/1.596847.
The modulation transfer function (MTF) of an imaging system may be used as a figure of merit to assess its geometrical resolution. As such it is often derived from the point spread function (PSF) through a Fourier transformation, or through a FFT in case of digital images. Using the special features of the convolution-backprojection algorithm and making some simplifying assumptions about the number of rays, it is shown that the desired MTF is also obtainable without a Fourier transformation of the PSF, different shapes and sizes of the beam-profile are then analyzed, and finally it is shown that calculated and measured MTF functions are in good agreement. The effects of aliasing on the cutoff frequency are also discussed.
成像系统的调制传递函数(MTF)可用作评估其几何分辨率的品质因数。因此,它通常通过傅里叶变换从点扩散函数(PSF)导出,对于数字图像则通过快速傅里叶变换(FFT)导出。利用卷积反投影算法的特点,并对射线数量做一些简化假设,结果表明无需对PSF进行傅里叶变换也可获得所需的MTF。随后分析了不同形状和尺寸的光束轮廓,最后表明计算得到的MTF函数与测量得到的MTF函数吻合良好。还讨论了混叠对截止频率的影响。