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薛维琴, 周志勇, 郑健, 张涛. 含先验形状的水平集血管分割方法[J]. 计算机辅助设计与图形学学报, 2013, 25(8): 1213-1222.
引用本文: 薛维琴, 周志勇, 郑健, 张涛. 含先验形状的水平集血管分割方法[J]. 计算机辅助设计与图形学学报, 2013, 25(8): 1213-1222.
Xue Weiqin, Zhou Zhiyong, Zheng Jian, Zhang Tao. Vessel Segmentation Using Shape Priors in Level Set Framework[J]. Journal of Computer-Aided Design & Computer Graphics, 2013, 25(8): 1213-1222.
Citation: Xue Weiqin, Zhou Zhiyong, Zheng Jian, Zhang Tao. Vessel Segmentation Using Shape Priors in Level Set Framework[J]. Journal of Computer-Aided Design & Computer Graphics, 2013, 25(8): 1213-1222.

含先验形状的水平集血管分割方法

Vessel Segmentation Using Shape Priors in Level Set Framework

  • 摘要: 针对图像中灰度分布不均匀和弱边缘情况下已有的水平集模型不能正确分割,且现有基于先验形状的水平集模型都要利用大量样本来进行训练的不足,提出一种无需训练的血管先验形状水平集分割方法.首先通过机械应力张量的方法分析Hessian矩阵,并建立血管相似函数;然后根据血管相似函数临界值得到血管的先验形状,并用水平集符号距离隐式表达形状曲线;最后将先验血管形状模型作为约束加入到耦合最小方差和FLUX模型的能量函数中,采用变分水平集法求解能量函数的极值.由于曲线的演化不仅依赖图像的区域信息和梯度信息,还受到血管先验形状的约束,因此该模型不但能精确定位边缘,还能准确地提取出血管.实验结果表明,采用该方法分割严重灰度分布不均匀的血管造影图像,具有准确度好、精度高、鲁棒性好的优点.

     

    Abstract: In this paper,a new level set segmentation model is proposed,which is based on the shape priors that not need a large number of samples for training.The new level set segmentation model is aimed at vessel segmentation in a non-uniform image with weak object boundaries.First,we use the method of analyzing the mechanical stress tensor to analyse the Hessian matrix's features and define a vessel-ness function.Secondly,using the function to obtain the contour of shape,and level set signed distance implicitly expresses the shape curve.Finally,the minimal variance,FLUX and alignment for shape priors in energy function,and the extreme value of the energy function could be found by variational method.The curve evolution is dependent not only on the gradient and region information,but also on the anatomical constraints.The proposed method can locate the edge more accurate and accurately extract blood vessel.Experiments of vessel segmentation in images with intensity inhomogeneity confirm that the proposed algorithm yields more accurate segmentation results.

     

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