图像重建的有界误差估计方法

Ying Zhang, A. Hero, W. Rogers
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引用次数: 7

摘要

研究了一种基于有界误差的图像重建方法。该方法对测量的投影误差设定一个界,并构造与数据和误差界一致的图像集。误差范围可以解释统计噪声的不确定性,例如,由于随机校正或其他泊松破坏性预处理,以及模型的不确定性,例如,由于错误建模或未校准的系统矩阵。一致图像集是图像的一个集合估计,从中可以选择点估计,即图像重建。
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A bounded error estimation approach to image reconstruction
A bounded error (BE) approach to image reconstruction is investigated. In this approach a bound on the measured projections errors is specified and the set of images which is consistent with both the data and the error bound is constructed. The error bound can account for both statistical noise uncertainty, e.g., due to randoms correction or other Poisson-destructive preprocessing, and model uncertainty, e.g., due to a mismodeled or uncalibrated system matrix. The consistent set of images is a set estimate of the image from which point estimates, i.e., image reconstructions can be selected.<>
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