Name
Abstract | ||
|---|---|---|
In this paper, we propose a variational soft segmentation framework inspired by the level set formulation of multiphase Chan-Vese model. We use soft membership functions valued in [0,1] to replace the Heaviside functions of level sets (or characteristic functions) such that we get a representation of regions by soft membership functions which automatically satisfies the sum to one constraint. We give general formulas for arbitrary N-phase segmentation, in contrast to Chan-Vese's level set method only 2 m -phase are studied. To ensure smoothness on membership functions, both total variation (TV) regularization and H 1 regularization used as two choices for the definition of regularization term. TV regularization has geometric meaning which requires that the segmentation curve length as short as possible, while H 1 regularization has no explicit geometric meaning but is easier to implement with less parameters and has higher tolerance to noise. Fast numerical schemes are designed for both of the regularization methods. By changing the distance function, the proposed segmentation framework can be easily extended to the segmentation of other types of images. Numerical results on cartoon images, piecewise smooth images and texture images demonstrate that our methods are effective in multiphase image segmentation. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1007/s10851-010-0195-5 | Journal of Mathematical Imaging and Vision |
Keywords | Field | DocType |
soft membership function,arbitrary n-phase segmentation,multiphase image segmentation,multiphase soft segmentation,tv regularization,h1 regularization,total variation,variational soft segmentation framework,regularization method,segmentation curve length,proposed segmentation framework,level set,regularization term,level set method,distance function,characteristic function,total variation regularization,image segmentation,membership function,satisfiability,geometric mean | Mathematical optimization,Scale-space segmentation,Segmentation,Level set method,Backus–Gilbert method,Image segmentation,Regularization (mathematics),Total variation denoising,Mathematics,Regularization perspectives on support vector machines | Journal |
Volume | Issue | ISSN |
37 | 2 | 0924-9907 |
Citations | PageRank | References |
6 | 0.52 | 19 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Fang Li | 1 | 187 | 9.99 |
| Chaomin Shen | 2 | 161 | 12.57 |
| Chunming Li | 3 | 2683 | 98.49 |