A New Multiphase Soft Segmentation with Adaptive Variants
Soft segmentation is more flexible than hard segmentation. But the membership functions are usually sensitive to noise. In this paper, we propose a multiphase soft segmentation model for nearly piecewise constant images based on stochastic principle, where pixel intensities are modeled as random var...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
|
| Series: | Applied Computational Intelligence and Soft Computing |
| Online Access: | http://dx.doi.org/10.1155/2013/921721 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832545307858042880 |
|---|---|
| author | Hongyuan Wang Fuhua Chen Yunmei Chen |
| author_facet | Hongyuan Wang Fuhua Chen Yunmei Chen |
| author_sort | Hongyuan Wang |
| collection | DOAJ |
| description | Soft segmentation is more flexible than hard segmentation. But the membership functions are usually sensitive to noise. In this paper, we propose a multiphase soft
segmentation model for nearly piecewise constant images based on stochastic principle, where pixel intensities are modeled as random variables with mixed Gaussian distribution. The novelty of this paper lies in three aspects. First, unlike some existing models where the mean of each phase is modeled as a constant and the variances for different phases are assumed to be the same, the mean for each phase in the Gaussian distribution in this paper is modeled as a product of a constant and a bias field, and different phases are assumed to have different variances, which makes the model more flexible. Second, we develop a bidirection projected primal dual hybrid gradient (PDHG) algorithm for iterations of membership functions. Third, we also develop a novel algorithm for explicitly computing the projection from RK to simplex ΔK-1 for any dimension K using dual theory, which is more efficient in both coding and implementation than existing projection methods. |
| format | Article |
| id | doaj-art-66755f6026c54d1abb8413275b87831b |
| institution | Kabale University |
| issn | 1687-9724 1687-9732 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Applied Computational Intelligence and Soft Computing |
| spelling | doaj-art-66755f6026c54d1abb8413275b87831b2025-02-03T07:26:17ZengWileyApplied Computational Intelligence and Soft Computing1687-97241687-97322013-01-01201310.1155/2013/921721921721A New Multiphase Soft Segmentation with Adaptive VariantsHongyuan Wang0Fuhua Chen1Yunmei Chen2School of Information Science & Engineering, Changzhou University, Changzhou 213164, ChinaDepartment of Natural Science & Mathematics, West Liberty University, West Liberty, WV 26074, USADepartment of Mathematics, University of Florida, Gainesville, FL 36011, USASoft segmentation is more flexible than hard segmentation. But the membership functions are usually sensitive to noise. In this paper, we propose a multiphase soft segmentation model for nearly piecewise constant images based on stochastic principle, where pixel intensities are modeled as random variables with mixed Gaussian distribution. The novelty of this paper lies in three aspects. First, unlike some existing models where the mean of each phase is modeled as a constant and the variances for different phases are assumed to be the same, the mean for each phase in the Gaussian distribution in this paper is modeled as a product of a constant and a bias field, and different phases are assumed to have different variances, which makes the model more flexible. Second, we develop a bidirection projected primal dual hybrid gradient (PDHG) algorithm for iterations of membership functions. Third, we also develop a novel algorithm for explicitly computing the projection from RK to simplex ΔK-1 for any dimension K using dual theory, which is more efficient in both coding and implementation than existing projection methods.http://dx.doi.org/10.1155/2013/921721 |
| spellingShingle | Hongyuan Wang Fuhua Chen Yunmei Chen A New Multiphase Soft Segmentation with Adaptive Variants Applied Computational Intelligence and Soft Computing |
| title | A New Multiphase Soft Segmentation with Adaptive Variants |
| title_full | A New Multiphase Soft Segmentation with Adaptive Variants |
| title_fullStr | A New Multiphase Soft Segmentation with Adaptive Variants |
| title_full_unstemmed | A New Multiphase Soft Segmentation with Adaptive Variants |
| title_short | A New Multiphase Soft Segmentation with Adaptive Variants |
| title_sort | new multiphase soft segmentation with adaptive variants |
| url | http://dx.doi.org/10.1155/2013/921721 |
| work_keys_str_mv | AT hongyuanwang anewmultiphasesoftsegmentationwithadaptivevariants AT fuhuachen anewmultiphasesoftsegmentationwithadaptivevariants AT yunmeichen anewmultiphasesoftsegmentationwithadaptivevariants AT hongyuanwang newmultiphasesoftsegmentationwithadaptivevariants AT fuhuachen newmultiphasesoftsegmentationwithadaptivevariants AT yunmeichen newmultiphasesoftsegmentationwithadaptivevariants |