基于非线性偏微分方程的灰度图像骨架线提取方法

蒋志年

蒋志年. 基于非线性偏微分方程的灰度图像骨架线提取方法[J]. 应用光学, 2012, 33(6): 1073-1076.
引用本文: 蒋志年. 基于非线性偏微分方程的灰度图像骨架线提取方法[J]. 应用光学, 2012, 33(6): 1073-1076.
JIANG Zhi-nian. Skeletonization method for gray scale imagebased on partial differential equation[J]. Journal of Applied Optics, 2012, 33(6): 1073-1076.
Citation: JIANG Zhi-nian. Skeletonization method for gray scale imagebased on partial differential equation[J]. Journal of Applied Optics, 2012, 33(6): 1073-1076.

基于非线性偏微分方程的灰度图像骨架线提取方法

详细信息
    通讯作者:

    蒋志年(1965-),男,广西宾阳人,副教授,主要从事实验检测技术与图像处理研究工作。

  • 中图分类号: O348.11;TP391

Skeletonization method for gray scale imagebased on partial differential equation

  • 摘要: 基于变分法提出用于计算灰度图像梯度矢量场的非线性偏微分控制方程,利用图像梯度矢量场的拓扑性,可实现骨架线的提取。该方法的主要优点是它的简单性,可直接应用于灰度图像,不需要任何的分割处理。把提出的方法应用于牛顿环干涉条纹中,并与广泛使用的分块二值化细化算法和极值跟踪法进行了比较,实验结果表明了本方法的良好性能。
    Abstract: We derived a new nonlinear governing partial differential equation (PDE) for calculating the gradient vector fields (GVFs) based on the variational method. By using the topological analysis of GVFs, the skeleton curves of an image were obtained. The main advantage of this method is simplicity. It works directly on the gray-scale images without the segmentation processing. We tested the proposed method on the Newton-ring interference fringe pattern, and compared it with the well-studied and widely-used block thresholding method and fringe extreme tracking method. The experimental results demonstrated the good performance of the proposed method.
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出版历程
  • 刊出日期:  2012-11-14

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