Propagation and reduction of error in three-dimensional structure determined from biplane views of unknown orientation.
Propagation and reduction of error in three-dimensional structure determined from biplane views of unknown orientation.
复制标题
从未知方向的双平面视图确定的三维结构中的误差的传播和减少。
DOI：
10.1118/1.596462
复制
发表时间：
1990
期刊：
影响因子：
3.8
通讯作者：
Metz,CE
中科院分区：
文献类型：
--
作者：
Fencil,LE;Metz,CE
我们正在开发一种技术，用于根据在任意和未知相对方向上采集的两个射线照相投影图像确定血管对象的三维（3 ‐ D）结构。这种方法不需要单独的校准步骤，它利用双平面成像的固有冗余来提取成像几何形状以及八个或更多个物点的3D位置。这种技术的理论基础已经在前面描述过了。在本文中，我们审查的方法，从线性代数的角度来看，并描述了一个改进，迄今为止没有报道，降低了该方法的实验误差的敏感性。然后，我们研究的可行性和固有的精度，这种方法通过计算机模拟的双平面成像实验。详细研究了可以检索3D对象结构的精度，以及精度对实际成像几何形状和各种测量量误差的依赖性。我们的模拟研究表明，该方法不仅是可行的，而且可能是准确的，通常确定的目标点配置与均方根（RMS）误差在1至2毫米的顺序。该方法也是相当快的，需要大约一秒的CPU时间在VAX 11/750计算机（0.6 MIPS）。
We are developing a technique for determination of the three‐dimensional (3‐D) structure of vascular objects from two radiographic projection images acquired at arbitrary and unknown relative orientations. No separate calibration steps are required with this method, which exploits an inherent redundancy of biplane imaging to extract the imaging geometry as well as the 3‐D locations of eight or more object points. The theoretical basis of this technique has been described previously. In this paper, we review the method from the perspective of linear algebra and describe an improvement, not heretofore reported, that reduces the method's sensitivity to experimental error. We then examine the feasibility and inherent accuracy of this approach by computer simulation of biplane imaging experiments. The precision with which 3‐D object structure may be retrieved, together with the dependence of precision on the actual imaging geometry and errors in various measured quantities, is studied in detail. Our simulation studies show that the method is not only feasible but potentially accurate, typically determining object‐point configurations with root‐mean‐square (RMS) error on the order of 1 to 2 mm. The method is also quite fast, requiring approximately one second of CPU time on a VAX 11/750 computer (0.6 MIPS).