Self-Supervised Coordinate Projection Network for Sparse-View Computed Tomography
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Abstract (arXiv)
In the present work, we propose a Self-supervised COordinate Projection nEtwork (SCOPE) to reconstruct the artifacts-free CT image from a single SV sinogram by solving the inverse tomography imaging problem. Compared with recent related works that solve similar problems using implicit neural representation network (INR), our essential contribution is an effective and simple re-projection strategy that pushes the tomography image reconstruction quality over supervised deep learning CT reconstruction works. The proposed strategy is inspired by the simple relationship between linear algebra and inverse problems. To solve the under-determined linear equation system, we first introduce INR to constrain the solution space via image continuity prior and achieve a rough solution. And secondly, we propose to generate a dense view sinogram that improves the rank of the linear equation system and produces a more stable CT image solution space. Our experiment results demonstrate that the re-projection strategy significantly improves the image reconstruction quality (+3 dB for PSNR at least). Besides, we integrate the recent hash encoding into our SCOPE model, which greatly accelerates the model training. Finally, we evaluate SCOPE in parallel and fan X-ray beam SVCT reconstruction tasks. Experimental results indicate that the proposed SCOPE model outperforms two latest INR-based methods and two well-popular supervised DL methods quantitatively and qualitatively.
Key facts. Cited by 31 papers in the map (data through 14 Oct 2026). Builds on 24 of its 51 references that are in the map. First posted on arXiv 12 Sep 2022.
Builds on
24 of 51 references.
References · 24
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12 more
- 2019Frequency Principle: Fourier Analysis Sheds Light on Deep Neural Networkscited by 368
- 2021Advances in Neural Renderingcited by 365
- 2017Low-Dose CT with a Residual Encoder-Decoder Convolutional Neural Network (RED-CNN)cited by 224
- 2020DeRF: Decomposed Radiance Fieldscited by 163
- 2021NeRP: Implicit Neural Representation Learning with Prior Embedding for Sparsely Sampled Image Reconstructioncited by 146
- 2017Framing U-Net via Deep Convolutional Framelets: Application to Sparse-view CTcited by 88
- 2021Dynamic CT Reconstruction from Limited Views with Implicit Neural Representations and Parametric Motion Fieldscited by 71
- 2021Recovery of Continuous 3D Refractive Index Maps from Discrete Intensity-Only Measurements using Neural Fieldscited by 48
- 2018Deep-neural-network based sinogram synthesis for sparse-view CT image reconstructioncited by 47
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Citing papers per year: 2022: 3; 2023: 5; 2024: 14; 2025: 6; 2026: 3.
31 papers.
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- 2022DOLCE: A Model-Based Probabilistic Diffusion Framework for Limited-Angle CT Reconstructioncited by 74
- 2022Spatiotemporal implicit neural representation for unsupervised dynamic MRI reconstructioncited by 36
- 2023CuNeRF: Cube-Based Neural Radiance Field for Zero-Shot Medical Image Arbitrary-Scale Super Resolutioncited by 28
- 2024DPER: Diffusion Prior Driven Neural Representation for Limited Angle and Sparse View CT Reconstructioncited by 17
- 2023Geometry-Aware Attenuation Learning for Sparse-View CBCT Reconstructioncited by 12
- 2023Unsupervised Polychromatic Neural Representation for CT Metal Artifact Reductioncited by 9
- 2024Implicit Neural Representations for Robust Joint Sparse-View CT Reconstructioncited by 9
- 2022Joint Rigid Motion Correction and Sparse-View CT via Self-Calibrating Neural Fieldcited by 5
- 2023TiAVox: Time-aware Attenuation Voxels for Sparse-view 4D DSA Reconstructioncited by 5
- 2024ReLUs Are Sufficient for Learning Implicit Neural Representationscited by 5
- 2024Highly Accelerated MRI via Implicit Neural Representation Guided Posterior Sampling of Diffusion Modelscited by 5
- 2024Physics-Inspired Generative Models in Medical Imaging: A Reviewcited by 5
19 more
- 2024Unsupervised Multi-Parameter Inverse Solving for Reducing Ring Artifacts in 3D X-Ray CBCTcited by 4
- 20244DRGS: 4D Radiative Gaussian Splatting for Efficient 3D Vessel Reconstruction from Sparse-View Dynamic DSA Imagescited by 4
- 2024AC-IND: Sparse CT reconstruction based on attenuation coefficient estimation and implicit neural distributioncited by 3
- 2025Unsupervised Self-Prior Embedding Neural Representation for Iterative Sparse-View CT Reconstructioncited by 3
- 2026DM4CT: Benchmarking Diffusion Models for Computed Tomography Reconstructioncited by 3
- 2024Diff-INR: Generative Regularization for Electrical Impedance Tomographycited by 2
- 2024Evaluating the Posterior Sampling Ability of Plug&Play Diffusion Methods in Sparse-View CTcited by 2
- 2026Disentangled Learning Improves Implicit Neural Representations for Medical Reconstructioncited by 2
- 2024Enhancing Dynamic CT Image Reconstruction with Neural Fields and Optical Flowcited by 1
- 2025JSolver: Joint Spectrum Estimation and Multi-Material Decomposition from Single-Energy CT Projectionscited by 1
- 2025Accelerating multiparametric quantitative MRI using self-supervised scan-specific implicit neural representation with model reinforcementcited by 1
- 2023APRF: Anti-Aliasing Projection Representation Field for Inverse Problem in Imagingcited by 0
- 2024CoCPF: Coordinate-based Continuous Projection Field for Ill-Posed Inverse Problem in Imagingcited by 0
- 2024Coordinate-Based Neural Representation Enabling Zero-Shot Learning for 3D Multiparametric Quantitative MRIcited by 0
- 2024Resolution Enhancement of Under-sampled Photoacoustic Microscopy Images using Implicit Neural Representationscited by 0
- 2025Low-Rank Augmented Implicit Neural Representation for Unsupervised High-Dimensional Quantitative MRI Reconstructioncited by 0
- 2025Diffusion Model Regularized Implicit Neural Representation for CT Metal Artifact Reductioncited by 0
- 2025XDen-1K: A Density Field Dataset of Real-World Objectscited by 0
- 2026NAB: Neural Adaptive Binning for Sparse-View CT reconstructioncited by 0
- 2026Disentangled Learning Improves Implicit Neural Representations for Medical Reconstruction5 May 2026
- 2026DM4CT: Benchmarking Diffusion Models for Computed Tomography Reconstruction20 Feb 2026
- 2026NAB: Neural Adaptive Binning for Sparse-View CT reconstruction2 Feb 2026
- 2025XDen-1K: A Density Field Dataset of Real-World Objects11 Dec 2025
- 2025Diffusion Model Regularized Implicit Neural Representation for CT Metal Artifact Reduction9 Dec 2025
- 2025Accelerating multiparametric quantitative MRI using self-supervised scan-specific implicit neural representation with model reinforcement27 Jul 2025
- 2025Low-Rank Augmented Implicit Neural Representation for Unsupervised High-Dimensional Quantitative MRI Reconstruction10 Jun 2025
- 2025JSolver: Joint Spectrum Estimation and Multi-Material Decomposition from Single-Energy CT Projections12 May 2025
- 2025Unsupervised Self-Prior Embedding Neural Representation for Iterative Sparse-View CT Reconstruction8 Feb 2025
- 20244DRGS: 4D Radiative Gaussian Splatting for Efficient 3D Vessel Reconstruction from Sparse-View Dynamic DSA Images17 Dec 2024
- 2024Unsupervised Multi-Parameter Inverse Solving for Reducing Ring Artifacts in 3D X-Ray CBCT8 Dec 2024
- 2024Evaluating the Posterior Sampling Ability of Plug&Play Diffusion Methods in Sparse-View CT21 Oct 2024
19 more
- 2024Resolution Enhancement of Under-sampled Photoacoustic Microscopy Images using Implicit Neural Representations15 Oct 2024
- 2024Coordinate-Based Neural Representation Enabling Zero-Shot Learning for 3D Multiparametric Quantitative MRI2 Oct 2024
- 2024AC-IND: Sparse CT reconstruction based on attenuation coefficient estimation and implicit neural distribution11 Sep 2024
- 2024Diff-INR: Generative Regularization for Electrical Impedance Tomography6 Sep 2024
- 2024Physics-Inspired Generative Models in Medical Imaging: A Review15 Jul 2024
- 2024Highly Accelerated MRI via Implicit Neural Representation Guided Posterior Sampling of Diffusion Models3 Jul 2024
- 2024CoCPF: Coordinate-based Continuous Projection Field for Ill-Posed Inverse Problem in Imaging21 Jun 2024
- 2024ReLUs Are Sufficient for Learning Implicit Neural Representations4 Jun 2024
- 2024Enhancing Dynamic CT Image Reconstruction with Neural Fields and Optical Flow3 Jun 2024
- 2024Implicit Neural Representations for Robust Joint Sparse-View CT Reconstruction3 May 2024
- 2024DPER: Diffusion Prior Driven Neural Representation for Limited Angle and Sparse View CT Reconstruction27 Apr 2024
- 2023TiAVox: Time-aware Attenuation Voxels for Sparse-view 4D DSA Reconstruction5 Sep 2023
- 2023APRF: Anti-Aliasing Projection Representation Field for Inverse Problem in Imaging11 Jul 2023
- 2023Unsupervised Polychromatic Neural Representation for CT Metal Artifact Reduction27 Jun 2023
- 2023CuNeRF: Cube-Based Neural Radiance Field for Zero-Shot Medical Image Arbitrary-Scale Super Resolution28 Mar 2023
- 2023Geometry-Aware Attenuation Learning for Sparse-View CBCT Reconstruction26 Mar 2023
- 2022Spatiotemporal implicit neural representation for unsupervised dynamic MRI reconstruction31 Dec 2022
- 2022DOLCE: A Model-Based Probabilistic Diffusion Framework for Limited-Angle CT Reconstruction22 Nov 2022
- 2022Joint Rigid Motion Correction and Sparse-View CT via Self-Calibrating Neural Field23 Oct 2022
- 2022DOLCE: A Model-Based Probabilistic Diffusion Framework for Limited-Angle CT Reconstructioncited by 74
- 2024DPER: Diffusion Prior Driven Neural Representation for Limited Angle and Sparse View CT Reconstructioncited by 17
- 2024Highly Accelerated MRI via Implicit Neural Representation Guided Posterior Sampling of Diffusion Modelscited by 5
- 2024Physics-Inspired Generative Models in Medical Imaging: A Reviewcited by 5
- 2026DM4CT: Benchmarking Diffusion Models for Computed Tomography Reconstructioncited by 3
- 2024Evaluating the Posterior Sampling Ability of Plug&Play Diffusion Methods in Sparse-View CTcited by 2
- 2025Diffusion Model Regularized Implicit Neural Representation for CT Metal Artifact Reductioncited by 0
- 2026DM4CT: Benchmarking Diffusion Models for Computed Tomography Reconstruction20 Feb 2026
- 2025Diffusion Model Regularized Implicit Neural Representation for CT Metal Artifact Reduction9 Dec 2025
- 2024Evaluating the Posterior Sampling Ability of Plug&Play Diffusion Methods in Sparse-View CT21 Oct 2024
- 2024Physics-Inspired Generative Models in Medical Imaging: A Review15 Jul 2024
- 2024Highly Accelerated MRI via Implicit Neural Representation Guided Posterior Sampling of Diffusion Models3 Jul 2024
- 2024DPER: Diffusion Prior Driven Neural Representation for Limited Angle and Sparse View CT Reconstruction27 Apr 2024
- 2022DOLCE: A Model-Based Probabilistic Diffusion Framework for Limited-Angle CT Reconstruction22 Nov 2022
- 2022Spatiotemporal implicit neural representation for unsupervised dynamic MRI reconstructioncited by 36
- 2023CuNeRF: Cube-Based Neural Radiance Field for Zero-Shot Medical Image Arbitrary-Scale Super Resolutioncited by 28
- 2023Geometry-Aware Attenuation Learning for Sparse-View CBCT Reconstructioncited by 12
- 2023Unsupervised Polychromatic Neural Representation for CT Metal Artifact Reductioncited by 9
- 2024Implicit Neural Representations for Robust Joint Sparse-View CT Reconstructioncited by 9
- 2022Joint Rigid Motion Correction and Sparse-View CT via Self-Calibrating Neural Fieldcited by 5
- 2023TiAVox: Time-aware Attenuation Voxels for Sparse-view 4D DSA Reconstructioncited by 5
- 2024ReLUs Are Sufficient for Learning Implicit Neural Representationscited by 5
- 2024Unsupervised Multi-Parameter Inverse Solving for Reducing Ring Artifacts in 3D X-Ray CBCTcited by 4
- 20244DRGS: 4D Radiative Gaussian Splatting for Efficient 3D Vessel Reconstruction from Sparse-View Dynamic DSA Imagescited by 4
- 2024AC-IND: Sparse CT reconstruction based on attenuation coefficient estimation and implicit neural distributioncited by 3
- 2025Unsupervised Self-Prior Embedding Neural Representation for Iterative Sparse-View CT Reconstructioncited by 3
12 most cited of 24 All 24 (JSON)
- 2026Disentangled Learning Improves Implicit Neural Representations for Medical Reconstruction5 May 2026
- 2026NAB: Neural Adaptive Binning for Sparse-View CT reconstruction2 Feb 2026
- 2025XDen-1K: A Density Field Dataset of Real-World Objects11 Dec 2025
- 2025Accelerating multiparametric quantitative MRI using self-supervised scan-specific implicit neural representation with model reinforcement27 Jul 2025
- 2025Low-Rank Augmented Implicit Neural Representation for Unsupervised High-Dimensional Quantitative MRI Reconstruction10 Jun 2025
- 2025JSolver: Joint Spectrum Estimation and Multi-Material Decomposition from Single-Energy CT Projections12 May 2025
- 2025Unsupervised Self-Prior Embedding Neural Representation for Iterative Sparse-View CT Reconstruction8 Feb 2025
- 20244DRGS: 4D Radiative Gaussian Splatting for Efficient 3D Vessel Reconstruction from Sparse-View Dynamic DSA Images17 Dec 2024
- 2024Unsupervised Multi-Parameter Inverse Solving for Reducing Ring Artifacts in 3D X-Ray CBCT8 Dec 2024
- 2024Resolution Enhancement of Under-sampled Photoacoustic Microscopy Images using Implicit Neural Representations15 Oct 2024
- 2024Coordinate-Based Neural Representation Enabling Zero-Shot Learning for 3D Multiparametric Quantitative MRI2 Oct 2024
- 2024AC-IND: Sparse CT reconstruction based on attenuation coefficient estimation and implicit neural distribution11 Sep 2024
12 newest of 24 All 24 (JSON)