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Updated: May 24, 2026

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Neutron Radiography and Computed Tomography of Biological Systems at the Oak Ridge National Laboratory's High Flux Isotope Reactor
Published on: May 7, 2021
Fast compressed sensing-based CBCT reconstruction using Barzilai-Borwein formulation for application to on-line IGRT
Justin C Park1, Bongyong Song, Jin Sung Kim
1Department of Radiation Medicine and Applied Sciences, University of California, La Jolla, CA, USA.
Medical Physics
|March 3, 2012
Summary
This study introduces a faster method for low-dose cone-beam computed tomography (CBCT) reconstruction using a novel gradient projection algorithm. The new technique significantly reduces radiation dose and reconstruction time for clinical applications.
Area of Science:
- Medical Imaging
- Computational Imaging
- Radiology
Background:
- Compressed sensing enables accurate, low-dose cone-beam computed tomography (CBCT) reconstruction.
- Reconstruction time is a major limitation for clinical CBCT implementation.
Purpose of the Study:
- To develop a novel, efficient gradient projection algorithm for CBCT reconstruction.
- To address the challenge of long reconstruction times in low-dose CBCT.
Main Methods:
- A Gradient-Projection-Barzilai-Borwein (GP-BB) algorithm was developed for total variation (TV)-norm regularization-based least squares CBCT reconstruction.
- Multiresolution optimization and single Graphics Processing Unit (GPU) implementation were used to accelerate the process.
- The algorithm was evaluated using numerical phantoms, a physical phantom, and clinical head-and-neck patient data, comparing it against other compressed sensing methods and conventional FDK reconstruction.
Main Results:
- The GP-BB algorithm demonstrated faster convergence (≤30 iterations) compared to other compressed sensing algorithms (≥50 iterations).
- Clinically acceptable images were reconstructed from 40 projections in under 12.6 seconds using the CatPhan phantom.
- For head-and-neck scans, 120 projections yielded images comparable or superior to conventional FDK reconstructions using 364 projections, achieving a ~67% dose reduction.
Conclusions:
- A novel, fast, low-dose CBCT reconstruction algorithm (GP-BB) was successfully developed.
- The algorithm achieves clinically viable image quality with significant dose reduction (~67%) and acceptable reconstruction times (34-78 seconds).
- The GP-BB algorithm shows promise for on-line image-guided radiation therapy (IGRT).

