Elimination of direct derivative along source trajectory for accurate image reconstruction in helical cone-beam CT

Yu Zou; Xiaochuan Pan

doi:10.1117/12.536559

12 May 2004 Elimination of direct derivative along source trajectory for accurate image reconstruction in helical cone-beam CT

Yu Zou, Xiaochuan Pan

Author Affiliations +

Proceedings Volume 5370, Medical Imaging 2004: Image Processing; (2004) https://doi.org/10.1117/12.536559
Event: Medical Imaging 2004, 2004, San Diego, California, United States

Abstract

An important breakthrough in helical cone-beam reconstruction is the development of Katsevich's algorithms, which appear to have numerous advantages over the algorithms developed previously. The original algorithm proposed by Katsevich has a simple form and requires only once the computation of the data filtering. It, however, invokes a derivative of the data function with respect to the rotation angle along the helical trajectory and thus makes the algorithm numerically susceptible to the sample aliasing along the helical trajectory. A modified version of the algorithm later developed by Katsevich that avoids the explicit computation of the derivative of the data function along the helical trajectory. However, this modified algorithm contains more terms than does the original algorithm and involves two different filtering of the data function. Therefore, this modified algorithm is computationally more complex and demanding than does the original Katsevich's algorithm. In this work, based upon the original Katsevich's algorithm, we present a new algorithm that not only avoids explicit computation of the derivative of the data function along the helical trajectory but also requires only one filtering of the data function. Therefore, in general, our algorithm is quantitatively more accurate than the original Katsevich's algorithm and is computationally more efficient than the modified Katsevich's algorithm.

Citation Download Citation

Yu Zou and Xiaochuan Pan "Elimination of direct derivative along source trajectory for accurate image reconstruction in helical cone-beam CT", Proc. SPIE 5370, Medical Imaging 2004: Image Processing, (12 May 2004); https://doi.org/10.1117/12.536559

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