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A deep convolutional neural network using directional wavelets for low-dose X-ray CT reconstruction

arXiv 1610.09736 ↗First posted 31 Oct 2016cs.CVcited by 87

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Abstract (arXiv)

Due to the potential risk of inducing cancers, radiation dose of X-ray CT should be reduced for routine patient scanning. However, in low-dose X-ray CT, severe artifacts usually occur due to photon starvation, beamhardening, etc, which decrease the reliability of diagnosis. Thus, high quality reconstruction from low-dose X-ray CT data has become one of the important research topics in CT community. Conventional model-based denoising approaches are, however, computationally very expensive, and image domain denoising approaches hardly deal with CT specific noise patterns. To address these issues, we propose an algorithm using a deep convolutional neural network (CNN), which is applied to wavelet transform coefficients of low-dose CT images. Specifically, by using a directional wavelet transform for extracting directional component of artifacts and exploiting the intra- and inter-band correlations, our deep network can effectively suppress CT specific noises. Moreover, our CNN is designed to have various types of residual learning architecture for faster network training and better denoising. Experimental results confirm that the proposed algorithm effectively removes complex noise patterns of CT images, originated from the reduced X-ray dose. In addition, we show that wavelet domain CNN is efficient in removing the noises from low-dose CT compared to an image domain CNN. Our results were rigorously evaluated by several radiologists and won the second place award in 2016 AAPM Low-Dose CT Grand Challenge. To the best of our knowledge, this work is the first deep learning architecture for low-dose CT reconstruction that has been rigorously evaluated and proven for its efficacy.

Key facts. Cited by 87 papers in the map (data through 7 Oct 2026). First posted on arXiv 31 Oct 2016.

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Citing papers per year: 2021: 22; 2022: 22; 2023: 18; 2024: 10; 2025: 8; 2026: 7.

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  2. 2022Solving 3D Inverse Problems using Pre-trained 2D Diffusion Modelscited by 130
  3. 2021Recovery of Continuous 3D Refractive Index Maps from Discrete Intensity-Only Measurements using Neural Fieldscited by 48
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  5. 2022Neural Fourier Filter Bankcited by 29
  6. 2022Generative Modeling in Sinogram Domain for Sparse-view CT Reconstructioncited by 27
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  8. 2022Transformer Meets Boundary Value Inverse Problemscited by 22
  9. 2021SGD-Net: Efficient Model-Based Deep Learning with Theoretical Guaranteescited by 18
  10. 2021SWAGAN: A Style-based Wavelet-driven Generative Modelcited by 17
  11. 2022Patch-Based Denoising Diffusion Probabilistic Model for Sparse-View CT Reconstructioncited by 16
  12. 2021Cycle-free CycleGAN using Invertible Generator for Unsupervised Low-Dose CT Denoisingcited by 15
38 more
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  4. 2023Convergent regularization in inverse problems and linear plug-and-play denoiserscited by 13
  5. 2023LIT-Former: Linking In-plane and Through-plane Transformers for Simultaneous CT Image Denoising and Deblurringcited by 12
  6. 2024DenoMamba: A fused state-space model for low-dose CT denoisingcited by 11
  7. 2021Graph Convolutional Networks for Model-Based Learning in Nonlinear Inverse Problemscited by 10
  8. 2023Prior Mismatch and Adaptation in PnP-ADMM with a Nonconvex Convergence Analysiscited by 10
  9. 2022Ultra Low-Parameter Denoising: Trainable Bilateral Filter Layers in Computed Tomographycited by 9
  10. 2021USIS: Unsupervised Semantic Image Synthesiscited by 8
  11. 2023Block Coordinate Plug-and-Play Methods for Blind Inverse Problemscited by 8
  12. 2023Diffusion Prior Regularized Iterative Reconstruction for Low-dose CTcited by 8
  13. 2022Computing Multiple Image Reconstructions with a Single Hypernetworkcited by 7
  14. 2021Provably Convergent Learned Inexact Descent Algorithm for Low-Dose CT Reconstructioncited by 6
  15. 2021Where do Models go Wrong? Parameter-Space Saliency Maps for Explainabilitycited by 6
  16. 2024Glimpse: Generalized Locality for Scalable and Robust CTcited by 6
  17. 2024Discretized Gaussian Representation for Tomographic Reconstructioncited by 6
  18. 2021Federated CycleGAN for Privacy-Preserving Image-to-Image Translationcited by 5
  19. 2022Spectral2Spectral: Image-spectral Similarity Assisted Spectral CT Deep Reconstruction without Referencecited by 5
  20. 2021Model Adaptation for Image Reconstruction using Generalized Stein's Unbiased Risk Estimatorcited by 4
  21. 2021AAPM DL-Sparse-View CT Challenge Submission Report: Designing an Iterative Network for Fanbeam-CT with Unknown Geometrycited by 3
  22. 2022Self-supervision versus synthetic datasets: which is the lesser evil in the context of video denoising?cited by 3
  23. 2022LRIP-Net: Low-Resolution Image Prior based Network for Limited-Angle CT Reconstructioncited by 3
  24. 2022Low-Dose CT Using Denoising Diffusion Probabilistic Model for 20× Speedupcited by 3
  25. 2022Active CT Reconstruction with a Learned Sampling Policycited by 3
  26. 2023Electrical Impedance Tomography with Deep Calder'on Methodcited by 3
  27. 2025Tomographic Foundation Model -- FORCE: Flow-Oriented Reconstruction Conditioning Enginecited by 3
  28. 2021Impact of loss functions on the performance of a deep neural network designed to restore low-dose digital mammographycited by 2
  29. 2022On Learning the Invisible in Photoacoustic Tomography with Flat Directionally Sensitive Detectorcited by 2
  30. 2022One Sample Diffusion Model in Projection Domain for Low-Dose CT Imagingcited by 2
  31. 2023Wavelet-based Unsupervised Label-to-Image Translationcited by 2
  32. 2023Efficient Model-Based Deep Learning via Network Pruning and Fine-Tuningcited by 2
  33. 2024Enhancing signal detectability in learning-based CT reconstruction with a model observer inspired loss functioncited by 2
  34. 2024A primal-dual algorithm for image reconstruction with input-convex neural network regularizerscited by 2
  35. 2025Zero-Shot Low-dose CT Denoising via Sinogram Flickingcited by 2
  36. 2021Low-Dose CT Denoising Using a Structure-Preserving Kernel Prediction Networkcited by 1
  37. 2022Unsupervised denoising for sparse multi-spectral computed tomographycited by 1
  38. 2022Weakly Supervised Learning Significantly Reduces the Number of Labels Required for Intracranial Hemorrhage Detection on Head CTcited by 1

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