一种改进的Heaviside函数与Dirac函数的C-V图像分割研究
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摘要
C-V模型中Heaviside函数和Dirac函数正则化逼近影响对目标图像的分割,根据Heaviside函数和Dirac函数的性质,提出了新的正则化Heaviside函数和Dirac函数.首先分析了C-V模型中正则化的Heaviside函数和Dirac函数在图像分割中所起的作用,在此基础上提出了新的正则化的Heaviside函数和Dirac函数,改进了C-V模型.实验结果表明,运用正则化的Heaviside函数和Dirac函数的图像分割效果较好.
The Heaviside function and Dirac function regularization approximation in the C-V model affect target image segmentation. Based on the properties of Heaviside function and Dirac function,a new regularized Heaviside function and Dirac function is proposed.Firstly, the function of Heaviside function and Dirac function in the C-V model is analyzed in image segmentation, On this basis, a new regularized Heaviside function and Dirac function is proposed to improve C-V model. Experimental results show that the image segmentation effect of the new regularized Heaviside function and Dirac function is better.
The Heaviside function and Dirac function regularization approximation in the C-V model affect target image segmentation. Based on the properties of Heaviside function and Dirac function,a new regularized Heaviside function and Dirac function is proposed.Firstly, the function of Heaviside function and Dirac function in the C-V model is analyzed in image segmentation, On this basis, a new regularized Heaviside function and Dirac function is proposed to improve C-V model. Experimental results show that the image segmentation effect of the new regularized Heaviside function and Dirac function is better.
引文
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[2] Casells V,Morel J M, Sapiro G. Geodesic active contours[J]. Int J Comput Vision, 1997, 22:61-69.
[3] Sapiro G, Geometric partial differential equations and image analysis. Cambridge University Press,2001.
[4] Chan T F, Vese L. Active contours without edges.CAM Report UCLA, 1998:98-53.
[5] Sagiv C,Sochen N A, Zeevi Y Y. Integrated active contours for texure segmentation[M]. IEEE IP,2005.
[6]王大凯,侯榆青,彭进业.图像处理的偏微分方程方法[M].北京:科学出版社,2008.
[7]冯象初,王卫卫.图像处理的变分和偏微分方程方法[M].北京:科学出版社,2009.
[8]杨新·图像偏微分方程的原理与应用[M].上海:上海交通大学出版社,2003
[9]李五强,杨巧,韩国栋.一种改进的C-V图像分割模型[J].工程数学学报,2015, 05:633-642.
[10] Sapiro G, and Tannenbaum A R. Affine Invariant Scale-Space[J]. Int Journal Computer Vision,1993, 11(1):25-44.
[11] Osher S, Sethian J A. Fronts propagating with curvature dependent speed:algorithms based on Hamilton-Jacobi formulation[J]. Journal of Computational Physics, 1998, 79(1):12-49.
[12]茅正冲,徐昊,王丹.改进的几何活动轮廓模型图像分割算法[J].计算机工程与应用,2015, 03:171-174.
[13]董镜.基于光流与水平集的运动对象轮廓追踪[D].长安大学,2012.