Correction of random shift of rotation center for nano-scale CT system in X-ray microcopy

FU Jian; LIU Zhen-zhong

doi:10.3788/OPE.20152313.0645

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Correction of random shift of rotation center for nano-scale CT system in X-ray microcopy

更新时间：2020-08-13

- Correction of random shift of rotation center for nano-scale CT system in X-ray microcopy
- Optics and Precision Engineering Vol. 23, Issue 10z, Pages: 644-650(2015)
- 作者机构：
  
  北京航空航天大学机械工程及自动化学院北京,100083
- 作者简介：
- 基金信息：
- DOI：10.3788/OPE.20152313.0645
  CLC： TP391;TG115.281
- Received：01 June 2015，
  
  Revised：30 June 2015，
  
  Published：14 November 2015
- 稿件说明：
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傅健, 刘振中,. X射线显微镜纳米CT旋转中心随机偏移的校正[J]. 光学精密工程, 2015,23(10z): 644-650

FU Jian, LIU Zhen-zhong,. Correction of random shift of rotation center for nano-scale CT system in X-ray microcopy[J]. Editorial Office of Optics and Precision Engineering, 2015,23(10z): 644-650
傅健, 刘振中,. X射线显微镜纳米CT旋转中心随机偏移的校正[J]. 光学精密工程, 2015,23(10z): 644-650 DOI： 10.3788/OPE.20152313.0645.

FU Jian, LIU Zhen-zhong,. Correction of random shift of rotation center for nano-scale CT system in X-ray microcopy[J]. Editorial Office of Optics and Precision Engineering, 2015,23(10z): 644-650 DOI： 10.3788/OPE.20152313.0645.

摘要

为校正全场透射X射线显微镜纳米CT扫描过程中转台旋转中心发生的随机偏移

抑制其导致的重建伪影

提出了一种基于样品投影质心公式和最小二乘正弦拟合的校正技术。首先

对探测器采集的数据进行对数解调获得二维投影正弦图;根据样品投影质心公式

逐行计算样品在每个CT旋转采样视角的投影质心位置;接着

利用最小二乘拟合技术

求取样品投影质心正弦曲线;最后

根据拟合得到的正弦曲线计算出纳米CT旋转中心在每个视角下的偏移量

并带入到重建公式中

实现旋转中心校正。以Shepp-Logan模型开展了仿真分析

并利用直径为60

m的纳米-微米复合材料在北京同步辐射装置全场透射纳米CT系统上进行了实验验证。结果表明:经本文方法校正后

归一化均方根重建误差小于0.3412

较校正前降低82%。本文方法能精确求解出系统旋转中心在每个角度的随机偏移量

实现旋转中心随机偏移校正

抑制重建伪影。与现有方法比较

应用性更强。

Abstract

To correct the random shift of rotation center of a full field transmission X-ray microscopy nano-scale CT and suppress the reconstruction artifacts

a method based on the calculation formula of mass center and the least square sinusoid fitting was proposed and investigated. First

the projection sinogram was obtained by the logarithm operation on the original data captured by a detector. Then the mass center position was calculated out in row by row at each view angle and the sinusoid curve was fitted by least square method. Finally

the random shift of the mass center was obtained and inputted to the image reconstruction formula to correct the shift of the rotation center. The results from the numerical simulation with the Shepp-Logan phantom and the experiment by a micro-nano composite with a diameter of 60

m at the full field transmission X-ray nano-scale CT system of Beijing Synchrotron Radiation Facility indicate that the normalized root square error after correction is less than 0.3412 and the reconstruction accuracy is improved by 82%. The proposed method can correct the random shift of the rotation center and suppress the reconstruction artifacts. Compared with current methods

it shows better practicability.

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