Katsevich Alexander
Department of Mathematics, University of Central Florida, Orlando, FL 32816-1364, USA.
Phys Med Biol. 2002 Aug 7;47(15):2583-97. doi: 10.1088/0031-9155/47/15/302.
In this paper we continue studying a theoretically exact filtered backprojection inversion formula for cone beam spiral CT proposed earlier by the author. Our results show that if the phantom f is constant along the axial direction, the formula is equivalent to the 2D Radon transform inversion. Also, the inversion formula remains exact as spiral pitch goes to zero and in the limit becomes again the 2D Radon transform inversion formula. Finally, we show that according to the formula the processed cone beam projections should be backprojected using both the inverse distance squared law and the inverse distance law.
在本文中,我们继续研究作者先前提出的用于锥束螺旋CT的理论上精确的滤波反投影反演公式。我们的结果表明,如果体模f沿轴向是恒定的,该公式等同于二维拉东变换反演。此外,当螺旋间距趋于零时,反演公式仍然精确,并且在极限情况下再次成为二维拉东变换反演公式。最后,我们表明,根据该公式,处理后的锥束投影应使用平方反比定律和反比定律进行反投影。