曲线拟合下间断血管连接方法

发布时间：2018-04-22 05:41

本文选题：血管分割 + 曲线拟合　；参考：《计算机辅助设计与图形学学报》2017年12期

【摘要】：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.
[Abstract]:In order to better analyze the topological structure of the vascular network, make up for the discontinuity caused by the segmentation algorithm, connect the discontinuous vessel segment and maintain the integrity of the vascular structure, a projection curve fitting method is proposed. On the basis of the three-dimensional vascular center line, the space curve is projected to the XY plane and the XZ plane by the projection reduction method. Then the curve fitting method is adopted on the plane to fit the discontinuous curve, and the fitting effect is judged by the square sum of error and the coefficient of determination. Finally, the fitting results are back projected to the three-dimensional space, and the final fitting effect of the spatial curve is obtained, and the connection of discontinuous vascular segments is realized. At the same time, the connection efficiency of different fitting algorithms is compared. The principle of keeping key data points is obtained, and the selection strategy for the fitting method of different blood vessel curve data sets is proposed. The experimental results show that the method is simple and convenient, and the fitting effect is good compared with the existing connection algorithm.

【作者单位】：北京师范大学信息科学与技术学院;文化遗产数字化保护与虚拟现实北京市重点实验室;
【基金】：国家自然科学基金(61472042,61672103) 北京市自然科学基金(4174094) 青岛市科技计划项目(2017-4-3-2-xcl)
【分类号】：R318;TP391.41

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