Atalar E, McVeigh E R
Dept. of Biomed. Eng., Johns Hopkins Univ. Sch. of Med., Baltimore, MD.
IEEE Trans Med Imaging. 1994;13(1):152-60. doi: 10.1109/42.276154.
Using magnetic resonance (MR) tagging, it is possible to track tissue motion by accurate detection of tag line positions. The authors show that with a least squares estimation algorithm, it is possible to define the position of the tag lines with a precision on the order of a tenth of a pixel. They calculate the Cramer-Rao bound for the tag position estimation error as a function of the tag thickness, the shape of the tag profile and line spread function of the MR imaging system. The tag thickness that minimizes tag position estimation error is between 0.8 to 1.5 pixels depending on the shape of the tag and the line spread function. In addition, tag position estimation error is inversely proportional to contrast-to-noise ratio between the tag and the background tissue. The theoretical results obtained in this study were verified by experiments performed on a whole-body 1.5 T MR imager and Monte-Carlo simulation studies.
利用磁共振(MR)标记技术,通过精确检测标记线位置能够追踪组织运动。作者表明,使用最小二乘估计算法,可以将标记线的位置定义到十分之一个像素左右的精度。他们计算了标记位置估计误差的克拉美罗界,该误差是标记厚度、标记轮廓形状以及MR成像系统的线扩展函数的函数。使标记位置估计误差最小化的标记厚度在0.8至1.5像素之间,具体取决于标记的形状和线扩展函数。此外,标记位置估计误差与标记和背景组织之间的对比度噪声比成反比。本研究中获得的理论结果通过在全身1.5T MR成像仪上进行的实验以及蒙特卡洛模拟研究得到了验证。