再论“非圆轨迹不含导数的扇形束扫描重建公式”

基金项目:

supported in part by the NIH grant R01 DC03590

详细信息

Revisit to Derivative-Free Noncircular Fan-Beam Reconstruction - Responses to "iscussions on a Noncircular Fan-Beam Reconstruction Formula"by Huang, et al.

CT/Micro-CT Laboratory, Departments of Radiology, Biomedical Engineering, Mathematics, University of Iowa, Iowa City, IA 52242, USA, ge-wang@uiowa.edu

Funds:

This work was supported in part by the NIH grant R01 DC03590

摘要: 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。
- CT /
- 图像重建 /
- 扇束 /
- 锥束 /
- Feldkamp型算法
Abstract: Huang <i<et al.</i< identified an error in the derivation of a derivative-free noncircular fan-beam reconstruction formula published in 1993. They concluded that the derivative-free formula is not exact under the assumed conditions, but it is a very good approximate reconstruction formula. In this report, the author analyzes the impacts of that error, discuss on remedy for exact derivative -free noncircular fan-beam reconstruction, and pose some open questions.
- Computed tomography (CT) /
- image reconstruction /
- fan-beam /
- cone-beam /
- Feldkamp-type algorithm.