Inst. of Meas. Sci., Slovak Acad. of Sci., Bratislava.
IEEE Trans Med Imaging. 1990;9(4):421-9. doi: 10.1109/42.61757.
Some issues of the direct Fourier method (DFM) implementation are discussed. A hybrid spline-linear interpolation for the DFM is proposed. The results of comprehensive simulation research are presented. The following reconstruction problems and parameters are emphasized: interpolation, increasing the radial density of the polar raster, filtering, the 2-D inverse Fourier transformation dimension, and considering the cases of noiseless and noisy input data. For the a priori prescribed resolution of the reconstructed image, values of reconstruction parameters have been determined which are optimal with regard to reconstruction quality and computation cost. The computational requirements of the DFM algorithm which correspond to distinct interpolation schemes are compared to one another for CT and MR tomography, respectively. The estimations obtained are compared to computational characteristics of the convolution backprojection method.
讨论了直接傅里叶方法（DFM）实现的一些问题。提出了一种用于 DFM 的混合样条-线性插值。呈现了综合模拟研究的结果。强调了以下重建问题和参数：插值、增加极坐标栅格的径向密度、滤波、二维逆傅里叶变换维度以及考虑无噪和有噪输入数据的情况。对于重建图像的先验规定分辨率，已经确定了针对重建质量和计算成本而言最优的重建参数值。分别针对 CT 和 MR 层析成像，比较了对应于不同插值方案的 DFM 算法的计算要求。将获得的估计值与卷积反投影方法的计算特性进行了比较。
