基于特殊窗函数的局部CT图像重建算法及其分析

宋沛然; 渠刚荣

基于特殊窗函数的局部CT图像重建算法及其分析

宋沛然,
渠刚荣^,

北京交通大学理学院, 北京 100044

基金项目:

国家自然科学基金(60772041)

详细信息

作者简介:
宋沛然(1986-),女,北京交通大学理学院计算数学专业硕士研究生,E-mail:08122119@bjtu.edu.cn;渠刚荣(1961-),男,北京交通大学理学院,副教授,硕士生导师,E-mail:grqu@bjtu.edu.cn。

通讯作者:
渠刚荣(1961-),男,北京交通大学理学院,副教授,硕士生导师,E-mail:grqu@bjtu.edu.cn

中图分类号: TP391.41
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出版历程
- 收稿日期: 2009-04-02
- 网络出版日期: 2022-12-14

Local Reconstruction Algorithm Based on the Special Filter and Its Analysis

SONG Pei-ran,
QU Gang-rong^,

School of Science, Beijing Jiaotong University, Beijing 100044, China

摘要

摘要: 为了减少X射线对人体的伤害,局部图像重建成为人们研究的重点之一。本文研究了基于一种特殊窗函数的局部图像重建算法。通常,直接用局部区域的投影数据重建局部图像,会使重建图像产生常数偏移,我们将局部区域边缘的投影数据延拓为相应沿径向未知投影数据的方法,改进了局部重建图像,并给出了基于特殊窗函数重建时,该方法的误差分析。另外,本文将该算法应用于扇形束图像重建,并通过数值实验验证了此特殊窗函数应用于扇形束重建时同样有效。
- 局部重建 /
- 误差分析 /
- 扇形束 /
- 特殊窗函数
Abstract: In order to reduce the harm of X-ray on human body,local reconstruction is becoming one of the important studies in image reconstruction.The local reconstruction algorithm based on the special filter is studied.Reconstructing the local image by using the projection data through the region of interest(ROI),generates the unknown constant bias in the reconstructed image in general.By making continuation along the radial direction,the unknown projections are derived from the projections in the ROI.And by reconstructing from the modified projection,the local reconstructed image is improved.The error analysis of this method based on the special filter is derived and this algorithm is implemented in fan beam reconstruction.According to the numerical experiment,the conclusion is obtained that this algorithm is also available to fan beam reconstruction problem.
- local reconstruction /
- error analysis /
- fan beam /
- special filter