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- Publisher Website: 10.1137/080736752
- Scopus: eid_2-s2.0-78651593506
- WOS: WOS:000285500900002
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Article: A multiphase image segmentation method based on fuzzy region competition
Title | A multiphase image segmentation method based on fuzzy region competition |
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Authors | |
Keywords | Fuzzy membership function Multiphase Region competition Image segmentation Alternative minimization |
Issue Date | 2010 |
Citation | SIAM Journal on Imaging Sciences, 2010, v. 3, n. 3, p. 277-299 How to Cite? |
Abstract | The goal of this paper is to develop a multiphase image segmentation method based on fuzzy region competition. A new variational functional with constraints is proposed by introducing fuzzy membership functions which represent several different regions in an image. The existence of a minimizer of this functional is established. We propose three methods for handling the constraints of membership functions in the minimization. We also add auxiliary variables to approximate the membership functions in the functional such that Chambolle's fast dual projection method can be used. An alternate minimization method can be employed to find the solution, in which the region parameters and the membership functions have closed form solutions. Numerical examples using grayscale and color images are given to demonstrate the effectiveness of the proposed methods. © 2010 Society for Industrial and Applied Mathematics. |
Persistent Identifier | http://hdl.handle.net/10722/276885 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Li, Fang | - |
dc.contributor.author | Ng, Michael K. | - |
dc.contributor.author | Zeng, Tie Yong | - |
dc.contributor.author | Shen, Chunli | - |
dc.date.accessioned | 2019-09-18T08:34:57Z | - |
dc.date.available | 2019-09-18T08:34:57Z | - |
dc.date.issued | 2010 | - |
dc.identifier.citation | SIAM Journal on Imaging Sciences, 2010, v. 3, n. 3, p. 277-299 | - |
dc.identifier.uri | http://hdl.handle.net/10722/276885 | - |
dc.description.abstract | The goal of this paper is to develop a multiphase image segmentation method based on fuzzy region competition. A new variational functional with constraints is proposed by introducing fuzzy membership functions which represent several different regions in an image. The existence of a minimizer of this functional is established. We propose three methods for handling the constraints of membership functions in the minimization. We also add auxiliary variables to approximate the membership functions in the functional such that Chambolle's fast dual projection method can be used. An alternate minimization method can be employed to find the solution, in which the region parameters and the membership functions have closed form solutions. Numerical examples using grayscale and color images are given to demonstrate the effectiveness of the proposed methods. © 2010 Society for Industrial and Applied Mathematics. | - |
dc.language | eng | - |
dc.relation.ispartof | SIAM Journal on Imaging Sciences | - |
dc.subject | Fuzzy membership function | - |
dc.subject | Multiphase | - |
dc.subject | Region competition | - |
dc.subject | Image segmentation | - |
dc.subject | Alternative minimization | - |
dc.title | A multiphase image segmentation method based on fuzzy region competition | - |
dc.type | Article | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1137/080736752 | - |
dc.identifier.scopus | eid_2-s2.0-78651593506 | - |
dc.identifier.volume | 3 | - |
dc.identifier.issue | 3 | - |
dc.identifier.spage | 277 | - |
dc.identifier.epage | 299 | - |
dc.identifier.eissn | 1936-4954 | - |
dc.identifier.isi | WOS:000285500900002 | - |
dc.identifier.issnl | 1936-4954 | - |