Q Huang et al 2005 Phys. Med. Biol. 50 2329 doi:10.1088/0031-9155/50/10/010
Q Huang1, G L Zeng2, J You3 and G T Gullberg4
Show affiliationsIn this paper, Novikov's inversion formula of the attenuated two-dimensional (2D) Radon transform is applied to the reconstruction of attenuated fan-beam projections acquired with equal detector spacing and of attenuated cone-beam projections acquired with a flat planar detector and circular trajectory. The derivation of the fan-beam algorithm is obtained by transformation from parallel-beam coordinates to fan-beam coordinates. The cone-beam reconstruction algorithm is an extension of the fan-beam reconstruction algorithm using Feldkamp–Davis–Kress's (FDK) method. Computer simulations indicate that the algorithm is efficient and is accurate in reconstructing slices close to the central slice of the cone-beam orbit plane. When the attenuation map is set to zero the implementation is equivalent to the FDK method. Reconstructed images are also shown for noise corrupted projections.
87.57.uh Single photon emission computed tomography (SPECT)
92C55 Biomedical imaging and signal processing (See also 44A12, 65R10)
Issue 10 (21 May 2005)
Received 16 February 2005, in final form 20 March 2005
Published 5 May 2005
Q Huang et al 2005 Phys. Med. Biol. 50 2329
M Sakamaki et al 2009 J. Phys.: Conf. Ser. 190 012113
José L Cereceda 2002 J. Phys. A: Math. Gen. 35 9105
Takashi Fujimori et al 2009 J. Phys.: Conf. Ser. 190 012183
Mathias Anton 2006 Phys. Med. Biol. 51 5419
I A Ivanov and J Mitroy 2000 J. Phys. B: At. Mol. Opt. Phys. 33 L831
S. L. Snowden et al. 1997 ApJ 485 125
Joni J. P. Virtanen and Rami Vainio 2005 ApJ 621 313
N I Grishanov and N A Azarenkov 2009 Plasma Phys. Control. Fusion 51 125004
P Fornasini et al 2009 J. Phys.: Conf. Ser. 190 012025