A convex variational level set model for image segmentation

作者：Wu Yongfei; He Chuanjiang^*

来源：Signal Processing, 2015, 106: 123-133.

DOI：10.1016/j.sigpro.2014.07.013

• Image segmentation
• Active contour
• Variational model
• Level set

In this paper, we propose a strictly convex energy functional in a level set formulation for the purpose of two-phase image segmentation. We prove that the value of the unique global minimizer for the energy functional is within the interval [- 1, 1] for any image, and equals to 1 in the object and -1 in the background for an ideal binary image. A pointwise convergent numerical scheme is presented to solve the gradient descent flow equation. The proposed model is allowed for flexible initialization and can set a reasonable termination criterion on the algorithm. The proposed model has been successfully applied to some synthesized and real images with promising results.

• 出版日期2015-1
• 单位重庆大学