Wollschläger H, Lee P, Zeiher A, Solzbach U, Bonzel T, Just H
Med Prog Technol. 1986;11(2):57-63.
Modern biplane multidirectional isocentric X-ray equipment delivers the image information necessary for spatial computations from two simultaneous 2-dimensional coronary angiographic pictures. Using the tools of analytical geometry, the spatial position of well definable points in the fields of view of the two image-intensifiers can be calculated from their corresponding projections knowing the geometrical properties of the system stands. The method developed is independent of the angle between the projections and is applicable even if hemiaxial views are used. The mathematical formulas necessary for these spatial computations are derived. By means of calculating the radiological magnification factor, the method was validated using a wire with known diameter as reference object. 360-diameter measurements of the wire filmed in 18 different simultaneous biplane projections resulted in a mean error of 3.14%. In addition, catheter measurements of routine coronary angiograms yielded a mean diameter of 2.64 +/- 0.19 mm (mean +/- SD, real diameter 2.66 mm).
Using this algorithm, a reliable determination of spatial coordinates of distinct points of interest is possible as prerequisite for absolute quantitative measurements from biplane angiograms.
现代双平面多向等中心X射线设备从两张同步的二维冠状动脉血管造影图片中提供空间计算所需的图像信息。利用解析几何工具，已知系统支架的几何特性，通过两张图像增强器视野中清晰可辨点的相应投影，可以计算出这些点的空间位置。所开发的方法与投影之间的角度无关，即使使用半轴视图也适用。推导了这些空间计算所需的数学公式。通过计算放射放大倍数，使用已知直径的金属丝作为参考物体对该方法进行了验证。在18种不同的同步双平面投影中拍摄的金属丝的360次直径测量结果，平均误差为3.14%。此外，常规冠状动脉血管造影的导管测量得出平均直径为2.64±0.19毫米（平均值±标准差，实际直径2.66毫米）。
使用该算法，可以可靠地确定不同感兴趣点的空间坐标，这是双平面血管造影绝对定量测量的前提条件。
