Zhang-O'Connor Yingying, Fessler Jeffrey A
Department of Electrical Engineering and Computer Science, University of Michigan, Ann Arbor, MI 48109-2122, USA.
IEEE Trans Med Imaging. 2006 May;25(5):582-9. doi: 10.1109/TMI.2006.872139.
Fourier-based forward and back-projection methods can reduce computation in iterative tomographic image reconstruction. Recently, an optimized nonuniform fast Fourier transform (NUFFT) approach was shown to yield accurate parallel-beam projections. In this paper, we extend the NUFFT approach to describe an O (N2 log N) projector/backprojector pair for fan-beam transmission tomography. Simulations and experiments with real CT data show that fan-beam Fourier-based forward and back-projection methods can reduce computation for iterative reconstruction while still providing accuracy comparable to their O (N3) space-based counterparts.
基于傅里叶变换的前向和反向投影方法可以减少迭代断层图像重建中的计算量。最近，一种优化的非均匀快速傅里叶变换（NUFFT）方法被证明能够产生精确的平行束投影。在本文中，我们扩展了NUFFT方法，以描述一种用于扇束透射断层扫描的O（N2 log N）投影仪/反投影仪对。对真实CT数据的模拟和实验表明，基于傅里叶变换的扇束前向和反向投影方法可以减少迭代重建的计算量，同时仍能提供与基于O（N3）空间的对应方法相当的精度。
