Based on the analysis of the shadow zone and the padding methods of the Radon domain generated by circular cone-beam CT scanning, this paper proposes a shadow zone padding method by distance-weighted interpolation. The method uses the known boundary data to interpolate the missed data inside the shadow zone with a distance weighting function. Simulation results show that the proposed padding method shows some advantages over the constant padding technique in terms of data-padding accuracy, artifacts reduction and image reconstruction for large cone-angle cone-beam scanning. The data padding method is particularly useful in Grangeat reconstruction algorithm. It enlarges the applicable scope of circular cone-beam tomography.
[1] Feldkamp LA, Davis LC, Kress JW. Practical cone-beam reconstruction. Journal of the Optical Society of America, 1984,1(6): 612?619.
[2] Tuy HK. An inversion formula for cone-beam reconstruction. Society for Industrial and Applied Mathematics, 1983,43(3): 546?552.
[3] Grass M, K?hler T, Proksa R. 3D cone-beam CT reconstruction for circular trajectories. Physics in Medicine and Biology, 2000, 45(2):329?347.
[4] Grass M, K?hler T, Proksa R. Weighted hybrid cone beam reconstruction for circular trajectories. In: Merell D, Surget J, Ulma M, eds. Proc. of the 2000 IEEE Nuclear Science Symp. Conf. Record. Danvers: IEEE, 2000.
[5] Hu H. A new cone beam reconstruction algorithm for the circular orbit. In: Trendler RC, ed. Proc. of the 1994 IEEE Conf. Record. Norfolk: IEEE, 1994. 1261?1265.
[6] Zheng H, Chen ZK, Kang Y, Liu JR. A new heuristic weighting function for FDK-based reconstruction of cone beam tomography. In: Peng Y, Weng XH, eds. Proc. of the 7th Asian-Pacific Conf. on Medical and Biological Engineering. Berlin: Springer-Verlag, 2008. 206?209.
[7] Chen ZK, Ning RL. Filling the Radon domain of computed tomography by local convex combination. Applied Optics, 2003,42(35): 7043?7051.
[8] Grangeat P. Mathematical framework of cone beam 3D reconstruction via the first derivative of the Radon transform. In: Herman GT, Louis AK, Natterer F, eds. Proc. of the Mathematical Methods in Tomography. Berlin: Springer-Verlag, 1991. 66?97.
[9] Lee SW, Cho G, Wang G. Artifacts associated with implementation of the Grangeat formula. Medical Physics, 2002,29(12): 2871?2880.
[10] Lee SW, Wang G. A Grangeat-type half-scan algorithm for cone-beam CT. Medical Physics, 2003,30(4):689?700.
[11] Lee SW, Wang G. Grangeat-Type helical half-scan computerized tomography algorithm for reconstruction of a short object. Medical Physics, 2004,31(1):4?16.