Dept. of Electr. & Comput. Eng., California Univ., Irvine, CA.
IEEE Trans Med Imaging. 1992;11(4):517-29. doi: 10.1109/42.192687.
An algorithm that reconstructs the cross sections of the lumens of coronary arteries from two mutually orthogonal X-ray projections is described. The algorithm accommodates the possibility of elliptical, crescent, or star shapes. It represents each biplane projection of a transverse slice of the arterial lumen as a binary-valued image. The single-coordinate moments of these two projection images are equal to those of the slice. Since the cross-coordinate moments of the slice are not available from the projections, an algorithm to estimate these moments based on assumptions of smoothness and connectivity is developed. Once all the missing moments are estimated, the image of the slice can be estimated by inverting these moments, using the uniqueness theorem governing the relation between an image and its moments. Preliminary tests of the algorithm on synthetic data, on hardware phantoms and on a segment of a barium-enhanced in vitro coronary artery are reported.
描述了一种从两个相互垂直的 X 射线投影重建冠状动脉管腔横截面的算法。该算法考虑了椭圆形、新月形或星形的可能性。它将动脉管腔的横向切片的每个双平面投影表示为二值图像。这两个投影图像的单坐标矩等于切片的单坐标矩。由于从投影中无法获得切片的交叉坐标矩，因此开发了一种基于平滑性和连通性假设来估计这些矩的算法。一旦估计了所有缺失的矩，就可以通过使用控制图像与其矩之间关系的唯一性定理反转这些矩来估计切片的图像。报告了该算法在合成数据、硬件体模和钡增强体外冠状动脉段上的初步测试结果。
