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黄朝志等发现在1993年发表的非圆轨迹不含导数的扇束重建公式推导中的一个错误。他们的结论是:在假设的条件下,不含导数的重建公式不是精确的,但是一个很好的近似重建公式。在本文中,作者分析了该错误的影响,讨论了用于非圆轨迹不含导数的精确扇束重建的矫正办法,并提出了一些未解决问题。
Huang et al. Found a mistake in the derivation of the non-circular derivative of the fan-beam reconstruction formula published in 1993. They conclude that under hypothetical conditions, the reconstruction without derivatives is not exact, but a good approximation to the reconstruction. In this paper, the author analyzes the effects of this error, discusses the corrections for exact fan-beam reconstruction without derivatives of non-circular trajectories, and presents some unresolved problems.