圆加多条直线的锥顶轨迹的完全性条件研究

Study on the complete condition in circle-and-n-line cone vertex orbit

CT技术是数学理论应用于工程技术的成功典范之一 ,体积CT将逐渐取代现在广泛使用的断层CT。针对体积CT中一类重要的多条直线的锥顶轨迹 ,本文给出了圆加单条和双条直线的锥顶轨迹的完全性条件的一种新的证明方法 ,并得出了正确的结论。最后将所得结论推广到了圆加多条直线的情形。

Computed tomography(CT) is one of the successful methods, in which mathematics theories are combined with engineer technology. Volume CT will replace cross-sectional CT which is widely used. After having studied circle-and- n -line cone vertex orbit which is one of the important orbits in voluem CT, we have given a better proof about the complete condition in circle-and-line and circle-and- n -line cone vertex orbit and have obtained some proper conclusions. At the end we extend the above results to circle-and- n -line vertex orbit.