Differentiable Forward Projector for X-ray Computed Tomography
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Abstract (arXiv)
Data-driven deep learning has been successfully applied to various computed tomographic reconstruction problems. The deep inference models may outperform existing analytical and iterative algorithms, especially in ill-posed CT reconstruction. However, those methods often predict images that do not agree with the measured projection data. This paper presents an accurate differentiable forward and back projection software library to ensure the consistency between the predicted images and the original measurements. The software library efficiently supports various projection geometry types while minimizing the GPU memory footprint requirement, which facilitates seamless integration with existing deep learning training and inference pipelines. The proposed software is available as open source: https://github.com/LLNL/LEAP.
Key facts. Cited by 14 papers in the map (data through 14 Oct 2026). Builds on 10 of its 27 references that are in the map. First posted on arXiv 11 Jul 2023.
Builds on
10 of 27 references.
References · 10
- 2019PyTorch: An Imperative Style, High-Performance Deep Learning Librarycited by 20,305
- 2017Framing U-Net via Deep Convolutional Framelets: Application to Sparse-view CTcited by 88
- 2017CNN-Based Projected Gradient Descent for Consistent Image Reconstructioncited by 77
- 2022DOLCE: A Model-Based Probabilistic Diffusion Framework for Limited-Angle CT Reconstructioncited by 74
- 2017Lose The Views: Limited Angle CT Reconstruction via Implicit Sinogram Completioncited by 31
- 2022Sparse-view Cone Beam CT Reconstruction using Data-consistent Supervised and Adversarial Learning from Scarce Training Datacited by 17
- 2019Diffraction tomography with a deep image priorcited by 15
- 2019Extreme Few-view CT Reconstruction using Deep Inferencecited by 5
- 2022LRIP-Net: Low-Resolution Image Prior based Network for Limited-Angle CT Reconstructioncited by 3
- 2019Improving Limited Angle CT Reconstruction with a Robust GAN Priorcited by 2
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Citing papers per year: 2023: 1; 2024: 3; 2025: 5; 2026: 5.
14 papers.
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- 2023CT Reconstruction using Diffusion Posterior Sampling conditioned on a Nonlinear Measurement Modelcited by 6
- 2026DM4CT: Benchmarking Diffusion Models for Computed Tomography Reconstructioncited by 3
- 2024Distributed Stochastic Optimization of a Neural Representation Network for Time-Space Tomography Reconstructioncited by 2
- 2024Neural rendering enables dynamic tomographycited by 1
- 2025Virtual-mask Informed Prior for Sparse-view Dual-Energy CT Reconstructioncited by 1
- 2025Limited-Angle CBCT Reconstruction via Geometry-Integrated Cycle-domain Denoising Diffusion Probabilistic Modelscited by 1
- 2025Cross-Distribution Diffusion Priors-Driven Iterative Reconstruction for Sparse-View CTcited by 1
- 2024Sequential-Scanning Dual-Energy CT Imaging Using High Temporal Resolution Image Reconstruction and Error-Compensated Material Basis Image Generationcited by 0
- 2025Pseudoinverse Diffusion Models for Generative CT Image Reconstruction from Low Dose Datacited by 0
- 2025Tada-DIP: Input-adaptive Deep Image Prior for One-shot 3D Image Reconstructioncited by 0
- 2026Efficient Noise Context-Aware Representation for Low-Dose CT Denoisingcited by 0
- 2026Splat-based Metal Artifact Reduction in Cone-Beam CT via Polychromatic Modelingcited by 0
- 2026Plug-and-Play Methods Provably Converge Even with Improperly Trained Denoisers: Convergence by Architectural Design27 Sep 2026
- 2026Toward a Foundation Plug-and-Play Prior for Computed Tomography Reconstruction via a Multimodal Diffusion Model24 Aug 2026
- 2026Splat-based Metal Artifact Reduction in Cone-Beam CT via Polychromatic Modeling13 Aug 2026
- 2026Efficient Noise Context-Aware Representation for Low-Dose CT Denoising11 Aug 2026
- 2026DM4CT: Benchmarking Diffusion Models for Computed Tomography Reconstruction20 Feb 2026
- 2025Tada-DIP: Input-adaptive Deep Image Prior for One-shot 3D Image Reconstruction3 Dec 2025
- 2025Cross-Distribution Diffusion Priors-Driven Iterative Reconstruction for Sparse-View CT16 Sep 2025
- 2025Limited-Angle CBCT Reconstruction via Geometry-Integrated Cycle-domain Denoising Diffusion Probabilistic Models16 Jun 2025
- 2025Virtual-mask Informed Prior for Sparse-view Dual-Energy CT Reconstruction10 Apr 2025
- 2025Pseudoinverse Diffusion Models for Generative CT Image Reconstruction from Low Dose Data20 Feb 2025
- 2024Neural rendering enables dynamic tomography27 Oct 2024
- 2024Sequential-Scanning Dual-Energy CT Imaging Using High Temporal Resolution Image Reconstruction and Error-Compensated Material Basis Image Generation27 Aug 2024
- 2023CT Reconstruction using Diffusion Posterior Sampling conditioned on a Nonlinear Measurement Modelcited by 6
- 2026DM4CT: Benchmarking Diffusion Models for Computed Tomography Reconstructioncited by 3
- 2025Virtual-mask Informed Prior for Sparse-view Dual-Energy CT Reconstructioncited by 1
- 2025Limited-Angle CBCT Reconstruction via Geometry-Integrated Cycle-domain Denoising Diffusion Probabilistic Modelscited by 1
- 2025Cross-Distribution Diffusion Priors-Driven Iterative Reconstruction for Sparse-View CTcited by 1
- 2025Pseudoinverse Diffusion Models for Generative CT Image Reconstruction from Low Dose Datacited by 0
- 2026Toward a Foundation Plug-and-Play Prior for Computed Tomography Reconstruction via a Multimodal Diffusion Modelcited by 0
- 2026Toward a Foundation Plug-and-Play Prior for Computed Tomography Reconstruction via a Multimodal Diffusion Model24 Aug 2026
- 2026DM4CT: Benchmarking Diffusion Models for Computed Tomography Reconstruction20 Feb 2026
- 2025Cross-Distribution Diffusion Priors-Driven Iterative Reconstruction for Sparse-View CT16 Sep 2025
- 2025Limited-Angle CBCT Reconstruction via Geometry-Integrated Cycle-domain Denoising Diffusion Probabilistic Models16 Jun 2025
- 2025Virtual-mask Informed Prior for Sparse-view Dual-Energy CT Reconstruction10 Apr 2025
- 2025Pseudoinverse Diffusion Models for Generative CT Image Reconstruction from Low Dose Data20 Feb 2025
- 2023CT Reconstruction using Diffusion Posterior Sampling conditioned on a Nonlinear Measurement Model3 Dec 2023
- 2024Distributed Stochastic Optimization of a Neural Representation Network for Time-Space Tomography Reconstructioncited by 2
- 2024Neural rendering enables dynamic tomographycited by 1
- 2024Sequential-Scanning Dual-Energy CT Imaging Using High Temporal Resolution Image Reconstruction and Error-Compensated Material Basis Image Generationcited by 0
- 2025Tada-DIP: Input-adaptive Deep Image Prior for One-shot 3D Image Reconstructioncited by 0
- 2026Efficient Noise Context-Aware Representation for Low-Dose CT Denoisingcited by 0
- 2026Splat-based Metal Artifact Reduction in Cone-Beam CT via Polychromatic Modelingcited by 0
- 2026Plug-and-Play Methods Provably Converge Even with Improperly Trained Denoisers: Convergence by Architectural Designcited by 0
- 2026Plug-and-Play Methods Provably Converge Even with Improperly Trained Denoisers: Convergence by Architectural Design27 Sep 2026
- 2026Splat-based Metal Artifact Reduction in Cone-Beam CT via Polychromatic Modeling13 Aug 2026
- 2026Efficient Noise Context-Aware Representation for Low-Dose CT Denoising11 Aug 2026
- 2025Tada-DIP: Input-adaptive Deep Image Prior for One-shot 3D Image Reconstruction3 Dec 2025
- 2024Neural rendering enables dynamic tomography27 Oct 2024
- 2024Sequential-Scanning Dual-Energy CT Imaging Using High Temporal Resolution Image Reconstruction and Error-Compensated Material Basis Image Generation27 Aug 2024
- 2024Distributed Stochastic Optimization of a Neural Representation Network for Time-Space Tomography Reconstruction29 Apr 2024