Why do commercial CT scanners still employ traditional, filtered back-projection for image reconstruction?
Why do commercial CT scanners still employ traditional, filtered back-projection for image reconstruction?
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DOI：
10.1088/0266-5611/25/12/123009
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发表时间：
2009-01-01
期刊：
影响因子：
2.1
通讯作者：
Vannier M
中科院分区：
文献类型：
--
作者：
Pan X;Sidky EY;Vannier M
尽管在X射线源、探测器阵列、机架机械设计以及特别是计算机性能方面取得了重大进展，但计算机断层扫描（CT）扫描仪的一个组成部分在过去25年中几乎保持不变-重建算法。在反问题的解决方面已经取得了根本性的进展，特别是断层重建，但这些工作还没有转化为临床和相关的实践。原因不明显，也很少讨论。本次审查旨在研究造成这一差异的原因，并就如何解决这一问题提出建议。我们以压缩传感（CS）领域为例，从实际医学物理学家的角度总结了这一新的研究领域，并解释了理论研究与应用研究之间的脱节。使用一些特定于CT的问题，工程师们已经以非常具体的方式解决了这些问题，我们试图提炼出这些问题背后的数学问题，希望证明有一些有趣的数学问题具有普遍的重要性，可以从深入分析具体问题中得出。然后，我们概述了一些非常规的CT成像设计，如果应用数学家和工程师/物理学家之间的联系更强，这些设计有可能对CT应用产生影响。最后，我们就如何加强这种联系提出一些看法。我们认为，通过解决这些问题，可以快速提高CT和相关断层成像技术的性能。
Despite major advances in x-ray sources, detector arrays, gantry mechanical design and especially computer performance, one component of computed tomography (CT) scanners has remained virtually constant for the past 25 years—the reconstruction algorithm. Fundamental advances have been made in the solution of inverse problems, especially tomographic reconstruction, but these works have not been translated into clinical and related practice. The reasons are not obvious and seldom discussed. This review seeks to examine the reasons for this discrepancy and provides recommendations on how it can be resolved. We take the example of field of compressive sensing (CS), summarizing this new area of research from the eyes of practical medical physicists and explaining the disconnection between theoretical and application-oriented research. Using a few issues specific to CT, which engineers have addressed in very specific ways, we try to distill the mathematical problem underlying each of these issues with the hope of demonstrating that there are interesting mathematical problems of general importance that can result from in depth analysis of specific issues. We then sketch some unconventional CT-imaging designs that have the potential to impact on CT applications, if the link between applied mathematicians and engineers/physicists were stronger. Finally, we close with some observations on how the link could be strengthened. There is, we believe, an important opportunity to rapidly improve the performance of CT and related tomographic imaging techniques by addressing these issues.
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DOI：
10.1109/tvcg.2007.1001
发表时间：
2007-05-01
影响因子：
5.2
作者：
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