ArticleComputerized medical imaging and graphics : the official journal of the Computerized Medical Imaging Society2021
Non-convex primal-dual algorithm for image reconstruction in spectral CT.
Article in Computerized medical imaging and graphics : the official journal of the Computerized Medical Imaging Society, 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 15 papers.
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Who cites it
15 citing papers in PubMed.
- Multi-basis-image reconstruction from conventional data acquired in standard CT.Physics in medicine and biology · 2025Article
- Image Reconstruction of Multiple Basis Materials With Data Augmentation in DECT.IEEE transactions on bio-medical engineering · 2025Article
- Accurate Reconstruction of Multiple Basis Images Directly From Dual Energy CT Data.IEEE transactions on bio-medical engineering · 2024Article
- Spectral CT image reconstruction using a constrained optimization approach-An algorithm for AAPM 2022 spectral CT grand challenge and beyond.Medical physics · 2024Article
- Derivative-Free Iterative One-Step Reconstruction for Multispectral CT.Journal of imaging · 2024Article
- Report on the AAPM deep-learning spectral CT Grand Challenge.Medical physics · 2024Article
- Prototyping optimization-based image reconstructions from limited-angular-range data in dual-energy CT.Medical image analysis · 2024Article
- Direct Multi-Material Reconstruction via Iterative Proximal Adaptive Descent for Spectral CT Imaging.Bioengineering (Basel, Switzerland) · 2023Article
- Accurate Image Reconstruction in Dual-Energy CT with Limited-Angular-Range Data Using a Two-Step Method.Bioengineering (Basel, Switzerland) · 2022Article
- A multienergy computed tomography method without image segmentation or prior knowledge of X-ray spectra or materials.Heliyon · 2022Article
- An Extended Primal-Dual Algorithm Framework for Nonconvex Problems: Application to Image Reconstruction in Spectral CT.Inverse problems · 2022Article
- Addressing CT metal artifacts using photon-counting detectors and one-step spectral CT image reconstruction.Medical physics · 2022Article
- Image reconstruction from data over two orthogonal arcs of limited-angular ranges.Medical physics · 2022Article
- Dual-energy CT imaging with limited-angular-range data.Physics in medicine and biology · 2021Article
- Directional-TV algorithm for image reconstruction from limited-angular-range data.Medical image analysis · 2021Article
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Authors and funding
5 authors.
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Abstract
The work seeks to develop an algorithm for image reconstruction by directly inverting the non-linear data model in spectral CT. Using the non-linear data model, we formulate the image-reconstruction problem as a non-convex optimization program, and develop a non-convex primal-dual (NCPD) algorithm to solve the program. We devise multiple convergence conditions and perform verification studies numerically to demonstrate that the NCPD algorithm can solve the non-convex optimization program and under appropriate data condition, can invert the non-linear data model. Using the NCPD algorithm, we then reconstruct monochromatic images from simulated and real data of numerical and physical phantoms acquired with a standard, full-scan dual-energy configuration. The result of the reconstruction studies shows that the NCPD algorithm can correct accurately for the non-linear beam-hardening effect. Furthermore, we apply the NCPD algorithm to simulated and real data of the numerical and physical phantoms collected with non-standard, short-scan dual-energy configurations, and obtain monochromatic images comparable to those of the standard, full-scan study, thus revealing the potential of the NCPD algorithm for enabling non-standard scanning configurations in spectral CT, where the existing indirect methods are limited.
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