2021
DOI: 10.1088/1361-6420/abff79
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A fast image reconstruction method for planar objects CT inspired by differentiation property of Fourier transform (DPFT)

Abstract: In planar objects computed tomography (CT), restricted to the scanning environment, projections can only be collected from limited angles. Moreover, limited by the emitting power of the x-ray source, only a few photons penetrate the long side of the planar objects, which results in the noise increasing in projections. Planar objects CT reconstruction based on these two conditions is mathematically corresponding to solving an ill-posed inverse problem. Although several iterative reconstruction algorithms of lim… Show more

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Cited by 7 publications
(3 citation statements)
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“…After the introduction of Target.net, the residual unit remains unchanged for a period of time, which reduces the correlation between the unit mapping and the identity mapping to a certain extent, and improves the stability of the algorithm. After introducing the deep residual network mechanism, the parameters in the residual network are defined as θ Q , Q μ ½s, μðsÞ which represents the expected return value obtained by using the μ strategy to select an action in the s state, and because it is in a continuous space [19], it is expected that it can be calculated by integral; then, formula (1) can be used to express the quality of strategy μ.…”
Section: Introduce the Deep Residual Network Mechanismmentioning
confidence: 99%
“…After the introduction of Target.net, the residual unit remains unchanged for a period of time, which reduces the correlation between the unit mapping and the identity mapping to a certain extent, and improves the stability of the algorithm. After introducing the deep residual network mechanism, the parameters in the residual network are defined as θ Q , Q μ ½s, μðsÞ which represents the expected return value obtained by using the μ strategy to select an action in the s state, and because it is in a continuous space [19], it is expected that it can be calculated by integral; then, formula (1) can be used to express the quality of strategy μ.…”
Section: Introduce the Deep Residual Network Mechanismmentioning
confidence: 99%
“…In general, when the number of pixels in a reconstructed image exceeds the number of projection samples in CT imaging, the inverse problem of (1) becomes ill-posed. Due to the radiation, various approaches have been explored, which can be primarily categorized into two main categories, either to modify the scanning protocol by reducing the tube voltage and/or tube current [44] or downsample the measured data for CT reconstruction, such as interior CT [36,51,60,70], and sparse-view CT [34,63,65,66,68,72]. These approaches aim to achieve dose reduction while maintaining satisfactory image quality.…”
Section: Introductionmentioning
confidence: 99%
“…So in this case, reconstructing images by traditional algorithms may cause beam-hardening and scatter artifacts [16,17]. How to reconstruct ideal images without artifacts from noisy data is a typical inverse problem in CT imaging [18].…”
Section: Introductionmentioning
confidence: 99%