初始图像对迭代Landweber重建的贡献估计
Estimation of the Initial Image's Contributions to the Iterative Landweber Reconstruction.
作者信息
Zeng Gengsheng L
机构信息
Department of Engineering, Weber State University, Ogden, UT 84408 USA, and also with the Department of Radiology and Imaging Sciences, University of Utah, Salt Lake City, UT 84108 USA.
出版信息
IEEE Trans Radiat Plasma Med Sci. 2018 Jan;2(1):27-32. doi: 10.1109/trpms.2017.2774834. Epub 2017 Nov 17.
Abstract
This paper develops a closed-form frequency-domain transfer function to predict the initial image's contributions in an iterative Landweber reconstruction for a given number of iterations. The transfer function shows that the initial image's high frequency components play an important role when the iterative algorithm is stopped before convergence. The contributions from the initial image diminish as the iteration number increases if the imaging matrix has full rank.
摘要
本文推导了一个闭式频域传递函数，用于预测在给定迭代次数的迭代Landweber重建中初始图像的贡献。该传递函数表明，当初始图像的高频分量在迭代算法收敛前停止时，其高频分量起着重要作用。如果成像矩阵具有满秩，则随着迭代次数的增加，初始图像的贡献会减小。
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