Association Journal of CSIAM
Supervised by Ministry of Education of PRC
Sponsored by Xi'an Jiaotong University
ISSN 1005-3085  CN 61-1269/O1

Chinese Journal of Engineering Mathematics ›› 2015, Vol. 32 ›› Issue (5): 633-642.doi: 10.3969/j.issn.1005-3085.2015.05.001

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An Improved C-V Image Segmentation Model

LI Wu-qiang,   YANG Qiao,   HAN Guo-dong   

  1. School of Mathematics and Information Science, Shaanxi Normal University, Xi'an 710062
  • Received:2014-05-28 Accepted:2014-11-20 Online:2015-10-15 Published:2015-12-15
  • Contact: G. Han. E-mail address: gdhan@snnu.edu.cn
  • Supported by:
    The National Natural Science Foundation of China (11101253); the Fundamental Research Funds for the Central Universities (GK201301007; GK201401004; GK201503016); the Science Program of Education Department of Shaanxi Province (14JK1461).

Abstract:

Aiming at the deficiency of the traditional C-V model for image segmentation in terms of efficiency and accuracy of segmentation, this paper presents an improved C-V image segmentation model. Firstly, the level set function is restricted as a signed distance function by adding the internal energy term in the model, which could avoid the re-initialization and improve the efficiency of image segmentation. Secondly, the new regularization function of Heaviside function is chosen to improve the approximation effect and the accuracy of image segmentation. Finally, the regularization function is applied to replace the traditional Dirac function in C-V model with positive real functions. On the one hand, it's able to eliminate the latter inhibition of homogeneous areas near the border to detect non-initial active contour lines, and then makes the better global optimization features to improve the accuracy of image segmentation; on the other hand, it gives more simple model and improves the efficiency of image segmentation. Compared with the original C-V model, the numerical experiments show that the improved model has better efficiency and higher accuracy.

Key words: image segmentation, C-V model, level set function, Heaviside function, Dirac function

CLC Number: