中文摘要：

3维血管中轴线提取是血管量化的第一步，同时也是最重要的一步。为此，提出一种动态提取3维血管图像中轴线的方法。首先构造具有3维血管特征的能量约束方程，通过细化方法或人工构造方式得到血管图像初始骨架线，在能量约束方程的作用下，沿着血管图像距离场梯度的方向不断向血管中轴线位置逼近。当方程能量达到最小值时，初始骨架线也就固定在中轴线位置。实验结果表明，提取出来的血管中轴线位置准确，且保持拓扑结构和连通性。

英文摘要：

Axis extraction of three-dimensional blood vessel images is the first and most important step in quantifying blood vessel. A dynamic method of extracting axis of three-dimensional blood vessel images was proposed. Firstly, the energy constraint equations has been constructed, the initial skeleton curve of blood vessel images obtained by thinning algorithm or artificial constructing method keeps the approximation location of the axis of blood vessels under energy constraint equations and along the distance field gradient direction of blood vessel images. When the equation energy reaches a minimum value, the initial skeleton is also fixed in the axis position at this time. Experimental results show that the position of the blood vessels axis extracted by this method is accurate,and the axis preserves topology and connectivity.