CT reconstruction filter design in the real space

Yuchuan Wei; Ge Wang; Jiang Hsieh

doi:10.1117/12.560251

26 October 2004 CT reconstruction filter design in the real space

Yuchuan Wei, Ge Wang, Jiang Hsieh

Proceedings Volume 5535, Developments in X-Ray Tomography IV; (2004) https://doi.org/10.1117/12.560251
Event: Optical Science and Technology, the SPIE 49th Annual Meeting, 2004, Denver, Colorado, United States

Abstract

Theoretically, the ramp filter for filter backprojection reconstruction in X-ray computed tomography (CT) is a generalized function, expressed as |ω| in the frequency domain and -1/(2π²t²) in the real space. The traditional method for designing a practical filter is to select a curve in the frequency domain which is close to the function |Οω| in some sense. Similarly, to design a practical filter one also can select a function in the real space which approximates the function -1/(2π²t²). Several approximations are studied, leading to either known or new filters. The image reconstructed using the new filter is comparable with that using the band-limited filter.

Citation Download Citation

Yuchuan Wei, Ge Wang, and Jiang Hsieh "CT reconstruction filter design in the real space", Proc. SPIE 5535, Developments in X-Ray Tomography IV, (26 October 2004); https://doi.org/10.1117/12.560251

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