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FDK算法中一种新的插值方法的研究
引用本文:薛震,张斌,潘晋孝.FDK算法中一种新的插值方法的研究[J].CT理论与应用研究,2008,17(3):1-6.
作者姓名:薛震  张斌  潘晋孝
作者单位:1. 中北大学,数学系,太原,030051;中北大学,电子测试技术国防科技重点实验室,太原,030051
2. 中北大学,电子测试技术国防科技重点实验室,太原,030051
摘    要:在FDK算法的反投影过程中,插值是关键的一步,它直接影响到重建图像的速度和质量。本文针对探测器的结构特点,提出了一种新的插值方法。该方法实现了快速求解射线所经过体素的长度,且考虑到射线与体素中心的距离对加权的影响,从而使得加权值更加精确。实验结果表明,在FDK算法中,这个新的插值方法比传统的插值方法重建出来的图像边缘清晰,且能更好地抑制噪声。

关 键 词:FDK算法  插值  体素

A New Interpolation Method in the FDK Algrithm
XUE Zhen,ZHANG Bin,PAN Jin-xiao.A New Interpolation Method in the FDK Algrithm[J].Computerized Tomography Theory and Applications,2008,17(3):1-6.
Authors:XUE Zhen  ZHANG Bin  PAN Jin-xiao
Institution:XUE Zhen, ZHANG Bin, PAN Jin-xiao (North University of China, Taiyuan 030051, China)
Abstract:In the back-projection process of the FDK algorithm, interpolation is an important step, which affects the speed and quality of reconstructed image directly. Based on the detector's structure, this paper gives a new interpolation method. This method gets the length that the ray passed through the voxel fast, and considers that the distance between the ray and the central of voxel has an effect on the weight, thus makes the value of weight more accurate. The experimental results show that the FDK algorithm of this new interpolation method gives a better result in the verge of the reconstructed image than the traditional interpolation methods, and this new interpolation method can restrain noise effect better.
Keywords:FDK algorithm  interpolation  voxel
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