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首页> 外文期刊>Applied Mathematical Modelling >Level set evolution model for image segmentation based on variable exponent p-Laplace equation
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Level set evolution model for image segmentation based on variable exponent p-Laplace equation

机译：基于可变指数p-Laplace方程的图像分割水平集演化模型

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摘要

In this paper, we proposed a modified active contour model based on p-Laplace equation for image segmentation. By combining the region information with the variable exponent p-Laplace energy, the modified model can fast and accurately segment the image with complex topological changes with flexible scheme of level set function initialization. Firstly, the region information is used to find the contours nearby the object boundaries. Secondly, the variable exponent p-Laplace energy is used for the regularization of the zero level contours that move to the accurate object boundaries with complex topological changes and deep depression. In addition, the Gaussian filter is used to keep the level set smoothing in the evolution process. Finally, the numerical scheme of the partial difference equation (PDE) based modified model is implemented via a simple finite difference method. And the scheme of level set function initialization can be chosen flexibly (i.e. a bounded constant function, a signed distance function(SDF) or a piecewise constant function). The experiment results on some synthetic and real images show that the modified model can segment complex object boundaries and the evolution of contours do not sensitive to the scheme of the level set function initialization.
机译：在本文中，我们提出了一种基于p-Laplace方程的改进主动轮廓模型用于图像分割。通过将区域信息与可变指数p-Laplace能量相结合，改进的模型可以使用水平集函数初始化的灵活方案快速，准确地分割具有复杂拓扑变化的图像。首先，区域信息用于找到物体边界附近的轮廓。其次，将可变指数p-Laplace能量用于归零零等高线的正则化，这些零等高线会随着复杂的拓扑变化和深陷而移动到精确的对象边界。此外，高斯滤波器用于在演变过程中保持水平集的平滑。最后，通过简单的有限差分方法实现了基于偏差分方程（PDE）的改进模型的数值方案。并且可以灵活地选择水平集函数初始化的方案（即有界常数函数，有符号距离函数（SDF）或分段常数函数）。在一些合成和真实图像上的实验结果表明，改进的模型可以分割复杂的对象边界，轮廓的演变对水平集函数初始化的方案不敏感。

著录项

  • 来源
    《Applied Mathematical Modelling》 |2016年第18期|7739-7750|共12页
  • 作者

    Chencheng Huang; Li Zeng;

  • 作者单位

    ICT Research Center, Key Laboratory of Optoelectronic Technology and System of the Education Ministry of China, Chongqing University, Chongqing 400044, China ,Engineering Research Center of Industrial Computed Tomography Nondestructive, Testing of the Education Ministry of China, Chongqing University, Chongqing 400044, China ,College of Optoelectronic Engineering, Chongqing University, Chongqing 400044, China;

    ICT Research Center, Key Laboratory of Optoelectronic Technology and System of the Education Ministry of China, Chongqing University, Chongqing 400044, China ,College of Mathematics and Statistics, Chongqing University, Chongqing 400044, China ,Engineering Research Center of Industrial Computed Tomography Nondestructive, Testing of the Education Ministry of China, Chongqing University, Chongqing 400044, China;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Image segmentation; Active contour model; Variable exponent p-Laplace; Level set function initialization;

    机译：图像分割活动轮廓模型;可变指数p-Laplace水平设定功能初始化;

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