Name
Title | ||
|---|---|---|
A Multiphase Image Segmentation Based on Fuzzy Membership Functions and L1-norm Fidelity. |
Abstract | ||
|---|---|---|
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. |
Year | DOI | Venue |
|---|---|---|
2015 | 10.1007/s10915-016-0183-z | J. Sci. Comput. |
Keywords | Field | DocType |
Image segmentation, Fuzzy membership function, L1-norm, ADMM, Segmentation accuracy | Convergence (routing),Mathematical optimization,Scale-space segmentation,Defuzzification,Fuzzy logic,Segmentation-based object categorization,Image segmentation,Impulse noise,Fuzzy number,Mathematics | Journal |
Volume | Issue | ISSN |
abs/1504.02206 | 1 | 1573-7691 |
Citations | PageRank | References |
0 | 0.34 | 31 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Fang Li | 1 | 187 | 9.99 |
| Stanley Osher | 2 | 7973 | 514.62 |
| Jing Qin | 3 | 0 | 0.34 |
| Ming Yan | 4 | 3 | 1.42 |