A new reconstruction algorithm for Radon data

Y. Xu; O. Tischenko; C. Hoeschen

doi:10.1117/12.653868

2 March 2006 A new reconstruction algorithm for Radon data

Y. Xu, O. Tischenko, C. Hoeschen

Proceedings Volume 6142, Medical Imaging 2006: Physics of Medical Imaging; 61422A (2006) https://doi.org/10.1117/12.653868
Event: Medical Imaging, 2006, San Diego, California, United States

Abstract

A new reconstruction algorithm for Radon data is introduced. We call the new algorithm OPED as it is based on Orthogonal Polynomial Expansion on the Disk. OPED is fundamentally different from the filtered back projection (FBP) method. It allows one to use fan beam geometry directly without any additional procedures such as interpolation or rebinning. It reconstructs high degree polynomials exactly and works for smooth functions without the assumption that functions are band- limited. Our initial tests indicate that the algorithm is stable, provides high resolution images, and has a small global error. Working with the geometry specified by the algorithm and a new mask, OPED could also lead to a reconstruction method that works with reduced x-ray dose (see the paper by Tischenko et al in these proceedings).

Citation Download Citation

Y. Xu, O. Tischenko, and C. Hoeschen "A new reconstruction algorithm for Radon data", Proc. SPIE 6142, Medical Imaging 2006: Physics of Medical Imaging, 61422A (2 March 2006); https://doi.org/10.1117/12.653868

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