约束方程能量最小化提取3维血管图像中轴线

汪永生; 李均利; 陈爽

doi:10.11834/jig.20111114

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专辑

约束方程能量最小化提取3维血管图像中轴线
Minimizing constraint equation energy extracts axis of 3D blood vessel images
2011年16卷第11期页码：2047-2053
纸质出版：2011
DOI： 10.11834/jig.20111114
稿件说明：

移动端阅览

汪永生, 李均利, 陈爽. 约束方程能量最小化提取3维血管图像中轴线[J]. 中国图象图形学报, 2011,16(11):2047-2053. DOI： 10.11834/jig.20111114.

Wang Yongsheng, Li Junli, Chen Shuang. Minimizing constraint equation energy extracts axis of 3D blood vessel images[J]. Journal of Image and Graphics, 2011, 16(11): 2047-2053. DOI： 10.11834/jig.20111114.

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。

Abstract

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.