A localization algorithm and error analysis for stereo x-ray image guidance.

A localization algorithm and error analysis for stereo x-ray image guidance.
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立体X射线图像引导的定位算法和误差分析。

DOI:
10.1118/1.598953
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发表时间:
2000
期刊:
影响因子:
3.8
通讯作者:
Fajardo,LL
Fajardo,LL
中科院分区:
医学3区
文献类型:
--
作者:
Jiang,H;Liu,H;Wang,G;Chen,W;Fajardo,LL

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立体X射线摄影在主要临床应用中越来越受到关注。本文的目的是分析乳腺活检过程中的三维定位误差,并为提高其准确性提供指导。我们的原型是基于CCD的数字立体X射线成像系统。数学模型由两个X射线源和一个固定探测器平面组成。从一对2D数字X射线照片中推导出用于特征点(特别是活检针尖)的3D定位的闭合形式最小二乘解。基于最小二乘公式及其一阶近似,从目标位置、测量误差、两个X射线源之间的间隔以及源到探测器的距离等方面分析了3D定位误差。对立体成像和误差估计公式进行了数值模拟和实验验证。数据与理论预测一致。这些结果可用于系统设计和协议优化。
Stereo x‐ray radiography attracts increasing attention in major clinical applications. The purpose of this paper is to analyze the 3D localization error for breast biopsy procedures and provide guidelines for improving its accuracy. Our prototype is a CCD based digital stereo x‐ray imaging system. The mathematical model consists of two x‐ray sources and one stationary detector plane. A closed form least‐squares solution is derived for 3D localization of feature points, particularly a biopsy needle tip, from a pair of 2D digital radiographs. Based on the least‐squares formula and its first order approximation, the 3D localization error is analyzed in terms of object location, measurement error, separation between the two x‐ray sources, and distance from the source to the detector. The stereo imaging and error estimation formulas are numerically simulated and experimentally validated. The data are in agreement with theoretical prediction. These results can be used for the purpose of system design and protocol optimization.
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