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Christian Thibaudeau1, Jean-Daniel Leroux, Réjean Fontaine

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This study shows 3D computed tomography reconstruction is feasible using polar coordinates. This method reduces system matrix size and enhances reconstruction speed for high-resolution imaging.

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Area of Science:

  • Medical Imaging
  • Computational Imaging
  • Image Reconstruction

Background:

  • Iterative computed tomography (CT) reconstruction is crucial for high-resolution imaging.
  • Traditional Cartesian coordinate systems can lead to large memory requirements and slow reconstruction times.

Purpose of the Study:

  • To demonstrate the feasibility of 3D iterative CT reconstruction using polar coordinates.
  • To reduce system matrix size and enhance reconstruction speed for high-resolution fields of view.

Main Methods:

  • System matrix computation using ray-tracing in cylindrical or spherical coordinates.
  • Exploiting polar symmetries to reduce system matrix size and enable precomputation.
  • Cache-oblivious implementation for enhanced reconstruction speed, compatible with ordered-subsets acceleration.

Main Results:

  • Successful reconstruction of analytical phantoms and small animal CT images in polar coordinates.
  • Demonstrated accuracy and robustness compared to Cartesian methods.
  • Achieved noise reduction while maintaining spatial resolution without polar artifacts.

Conclusions:

  • System matrix memory size can be significantly reduced, proportional to the number of projections.
  • Enables iterative reconstruction for high-resolution clinical and preclinical CT systems on standard computers.