微分相衬计算机断层成像中噪声方差和空间分辨率的反常标度律
Anomalous scaling law for noise variance and spatial resolution in differential phase contrast computed tomography
摘要：
在传统的基于吸收的X射线计算机断层成像（CT）中，重建的CT图像中的噪声方差遵循逆立方关系与空间分辨率成比例。在没有重建的情况下，在X射线吸收射线照相术中，噪声方差与空间分辨率成反比。在这封信中，我们报告说，虽然平方反比关系适用于微分相衬投影成像，微分相衬CT中存在一个异常的标度律，其中噪声方差与空间分辨率成反比线性关系。从理论上推导了反常标度律，并利用实验Talbot-Lau干涉仪系统的幻影结果进行了验证。
英文摘要：
In conventional absorption based x-ray computed tomography (CT), the noise variance in reconstructed CT images scales with spatial resolution following an inverse cubic relationship. Without reconstruction, in x-ray absorption radiography, the noise variance scales as an inverse square with spatial resolution. In this letter we report that while the inverse square relationship holds for differential phase contrast projection imaging, there exists an anomalous scaling law in differential phase contrast CT, where the noise variance scales with spatial resolution following an inverse linear relationship. The anomalous scaling law is theoretically derived and subsequently validated with phantom results from an experimental Talbot-Lau interferometer system.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
