曲线拟合下间断血管连接方法

Broken Vessel Junction by Curve Fitting

为了更好地分析血管网络的拓扑结构,弥补分割算法产生的间断现象,连接间断血管段并保持血管结构的完整性,提出一种投影曲线拟合的方法.该方法在三维血管中心线基础上,采用投影降维方式将空间曲线投影至XY平面及XZ平面;然后在平面上采取曲线拟合的方法将间断曲线进行拟合,通过误差平方和及确定系数来判别拟合效果;最后将拟合的结果反投影至三维空间,得到空间曲线的最终拟合效果,实现间断血管段的连接;同时,通过比较不同拟合算法的连接效果得出保留关键数据点的原则,并提出针对不同血管曲线数据集拟合算法的选择策略.实验结果表明,相对于现有连接算法,文中方法计算简单方便,拟合效果好.

In order to study the topological structure of vessel network,and to make up the undesirable gaps produced by segmenting,and to connect broken vessels for the integrity of vascular structure,a projecting and curve fitting method is proposed.Based on the skeleton of the segmented network,vessel branches are projected onto the XY and XZ planes;then nonlinear curve fitting algorithms are applied for connecting discontinuities of broken branches,sum of the squared errors and R-square are used for determining fitting effects;the original curves are fitted by back projection,and the broken vessels are finally connected.Meanwhile,a picking strategy for preserving appropriate key points of vessel data is put forward through comparison of different fitting methods.Experimental results show that the method performs well compared with existing connection methods.