Unsupervised PET Reconstruction from a Bayesian Perspective
- URL: http://arxiv.org/abs/2110.15568v1
- Date: Fri, 29 Oct 2021 06:32:21 GMT
- Title: Unsupervised PET Reconstruction from a Bayesian Perspective
- Authors: Chenyu Shen, Wenjun Xia, Hongwei Ye, Mingzheng Hou, Hu Chen, Yan Liu,
Jiliu Zhou and Yi Zhang
- Abstract summary: DeepRED is a typical representation that combines DIP and regularization by denoising (RED)
In this article, we leverage DeepRED from a Bayesian perspective to reconstruct PET images from a single corrupted sinogram without any supervised or auxiliary information.
- Score: 12.512270202705404
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Positron emission tomography (PET) reconstruction has become an ill-posed
inverse problem due to low-count projection data, and a robust algorithm is
urgently required to improve imaging quality. Recently, the deep image prior
(DIP) has drawn much attention and has been successfully applied in several
image restoration tasks, such as denoising and inpainting, since it does not
need any labels (reference image). However, overfitting is a vital defect of
this framework. Hence, many methods have been proposed to mitigate this
problem, and DeepRED is a typical representation that combines DIP and
regularization by denoising (RED). In this article, we leverage DeepRED from a
Bayesian perspective to reconstruct PET images from a single corrupted sinogram
without any supervised or auxiliary information. In contrast to the
conventional denoisers customarily used in RED, a DnCNN-like denoiser, which
can add an adaptive constraint to DIP and facilitate the computation of
derivation, is employed. Moreover, to further enhance the regularization,
Gaussian noise is injected into the gradient updates, deriving a Markov chain
Monte Carlo (MCMC) sampler. Experimental studies on brain and whole-body
datasets demonstrate that our proposed method can achieve better performance in
terms of qualitative and quantitative results compared to several classic and
state-of-the-art methods.
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