A Multiphase Image Segmentation Based on Fuzzy Membership Functions and L1-Norm Fidelity

作者：Li, Fang^*; Osher, Stanley; Qin, Jing; Yan, Ming

来源：Journal of Scientific Computing, 2016, 69(1): 82-106.

DOI：10.1007/s10915-016-0183-z

• Image segmentation
• Fuzzy membership function
• L1-norm
• ADMM
• Segmentation accuracy

In this paper, we propose a variational multiphase image segmentation model based on fuzzy membership functions and L1-norm fidelity. Then we apply the alternating direction method of multipliers to solve an equivalent problem. All the subproblems can be solved efficiently. Specifically, we propose a fast method to calculate the fuzzy median. Experimental results and comparisons show that the L1-norm based method is more robust to outliers such as impulse noise and keeps better contrast than its L2-norm counterpart. Theoretically, we prove the existence of the minimizer and analyze the convergence of the algorithm.

• 出版日期2016-10
• 单位华东师范大学