Iterative Image Reconstruction with Under-Sampled Data Assisted by a Neural Network.

Gengsheng L Zeng
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Abstract

Background: Image reconstruction with under-sampled data is usually achieved by an iterative algorithm, which minimizes an objective function. The objective function commonly contains a data fidelity term and one or more Bayesian terms. A popular Bayesian term is the total variation (TV) norm of the image.

Methods: This paper suggests an addition Bayesian term that is generated by a neural network. This neural network is essentially a classifier. This classifier can recognize the artifacts caused by the incomplete data. This classifier is trained by patient images reconstructed by complete and incomplete data sets. This newly introduced Bayesian term is referred to as the CNN score, which is a real number in (-∞, ∞).

Results: Patient studies show the good correlation between the CNN score and the severeness of the artifacts due to the incomplete measurements.

Conclusions: A neural network can extract features from images that are suffering from incomplete measurements and convert the features into a CNN score. An iterative image reconstruction algorithm can be developed to minimize this CNN score to suppress the artifacts in the reconstructed image.

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利用神经网络辅助欠采样数据进行迭代图像重构
背景:使用采样不足的数据进行图像重建通常是通过迭代算法来实现的,该算法使目标函数最小化。目标函数通常包含一个数据保真度项和一个或多个贝叶斯项。一种常用的贝叶斯项是图像的总变化(TV)准则:本文建议增加一个由神经网络生成的贝叶斯项。这个神经网络本质上是一个分类器。该分类器可以识别不完整数据造成的伪影。该分类器由完整和不完整数据集重建的患者图像进行训练。这个新引入的贝叶斯术语被称为 CNN 分数,它是一个在(-∞,∞)范围内的实数:患者研究表明,CNN 分数与不完整测量造成的伪影严重程度之间存在良好的相关性:结论:神经网络可以从测量不完整的图像中提取特征,并将特征转换为 CNN 分数。可以开发一种迭代图像重建算法,使 CNN 分数最小化,从而抑制重建图像中的伪影。
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