Dept. of Diagnostic Radiol. and Med. Imaging, Henry Ford Hospital, Detroit, MI.
IEEE Trans Med Imaging. 1990;9(4):405-20. doi: 10.1109/42.61756.
Mathematical derivation of error (noise) propagation in eigenimage filtering is presented. Based on the mathematical expressions, a method for decreasing the propagated noise given a sequence of images is suggested. The signal-to-noise ratio (SNR) and contrast-to-noise ratio (CNR) of the final composite image are compared to the SNRs and CNRs of the images in the sequence. The consistency of the assumptions and accuracy of the mathematical expressions are investigated using sequences of simulated and real magnetic resonance (MR) images of an agarose phantom and a human brain.
本文提出了特征图像滤波中误差(噪声)传播的数学推导。基于这些数学表达式,提出了一种在一系列图像给定的情况下降低传播噪声的方法。最后复合图像的信噪比(SNR)和对比噪声比(CNR)与序列中图像的 SNR 和 CNR 进行了比较。使用琼脂糖体模和人脑的模拟和真实磁共振(MR)图像序列研究了假设的一致性和数学表达式的准确性。