On Hallucinations in Tomographic Image Reconstruction.

On Hallucinations in Tomographic Image Reconstruction.
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DOI:
10.1109/tmi.2021.3077857
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发表时间:
2021-11
影响因子:
10.6
通讯作者:
Anastasio MA
Anastasio MA
中科院分区:
工程技术1区
文献类型:
--
作者:
Bhadra S;Kelkar VA;Brooks FJ;Anastasio MA

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Tomographic image reconstruction is generally an ill-posed linear inverse problem. Such ill-posed inverse problems are typically regularized using prior knowledge of the sought-after object property. Recently, deep neural networks have been actively investigated for regularizing image reconstruction problems by learning a prior for the object properties from training images. However, an analysis of the prior information learned by these deep networks and their ability to generalize to data that may lie outside the training distribution is still being explored. An inaccurate prior might lead to false structures being hallucinated in the reconstructed image and that is a cause for serious concern in medical imaging. In this work, we propose to illustrate the effect of the prior imposed by a reconstruction method by decomposing the image estimate into generalized measurement and null components. The concept of a hallucination map is introduced for the general purpose of understanding the effect of the prior in regularized reconstruction methods. Numerical studies are conducted corresponding to a stylized tomographic imaging modality. The behavior of different reconstruction methods under the proposed formalism is discussed with the help of the numerical studies.