Biplane projection imaging is one of the primary methods for imaging and visualizing the cardiovascular system in medicine. A key problem in such a technique is to determine the imaging geometry (i.e., the relative rotation and translation) of two projections so that the interested 3-D structures can be accurately reconstructed. Based on interesting observations and efficient geometric techniques, we present in this paper new algorithmic solutions for this problem. Comparing with existing optimization-based approaches, our techniques yield better accuracy, have bounded execution time, and thus are more suitable for on-line applications. Our techniques can easily detect outliers to further improve the accuracy.

中文翻译：

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确定 3-D 双平面成像几何的有效算法。

双平面投影成像是医学中心血管系统成像和可视化的主要方法之一。这种技术的一个关键问题是确定两个投影的成像几何形状（即相对旋转和平移），以便可以准确地重建感​​兴趣的 3-D 结构。基于有趣的观察和有效的几何技术，我们在本文中提出了针对该问题的新算法解决方案。与现有的基于优化的方法相比，我们的技术产生更好的准确性，执行时间有界，因此更适合在线应用程序。我们的技术可以轻松检测异常值以进一步提高准确性。