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Accelerated iterative transmission CT reconstruction using an ordered subsets convex algorithm.

C Kamphuis1, F J Beekman

  • 1Image Sciences Institute, University Hospital Utrecht, The Netherlands. chris@isi.uu.nl

IEEE Transactions on Medical Imaging
|February 27, 1999
PubMed
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The ordered subsets convex algorithm (OSC) significantly speeds up transmission computed tomography reconstruction. This accelerated method maintains image quality comparable to the original convex algorithm, making it ideal for demanding applications.

Area of Science:

  • Medical Imaging
  • Computational Imaging
  • Image Reconstruction

Background:

  • Iterative maximum likelihood (ML) algorithms offer advantages in transmission computed tomography (CT) but face computational time limitations.
  • The convex algorithm, while faster than other ML methods, is still too slow for many practical applications.

Purpose of the Study:

  • To accelerate the convex algorithm for transmission CT reconstruction.
  • To evaluate the performance of the proposed ordered subsets convex algorithm (OSC) in terms of speed and image quality.

Main Methods:

  • The ordered subsets convex algorithm (OSC) was developed by applying the convex algorithm sequentially to subsets of projections.
  • OSC was tested using simulated and physical thorax phantom data, with reconstructions performed using 8 and 16 subsets.

Related Experiment Videos

  • Image quality metrics including global errors, noise, contrast recovery, and likelihood increase were analyzed.

    • Main Results:

    • OSC demonstrated a significant acceleration compared to the standard convex algorithm, with speedup roughly proportional to the number of subsets used.
    • Reconstructions using OSC showed only a slight increase in image noise and global errors.
    • Visual inspection of images and image profiles confirmed good agreement between OSC and the convex algorithm reconstructions.

    Conclusions:

    • The ordered subsets convex algorithm (OSC) achieves substantial speed improvements over the convex algorithm in transmission CT.
    • OSC maintains comparable image quality to the convex algorithm.
    • OSC offers a more than tenfold increase in speed, making it suitable for a wider range of applications.