Localized FCM Clustering with Spatial Information for Medical Image Segmentation and Bias Field Estimation

This paper presents a novel fuzzy energy minimization method for simultaneous segmentation and bias field estimation of medical images. We first define an objective function based on a localized fuzzy c-means (FCM) clustering for the image intensities in a neighborhood around each point. Then, this...

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Main Authors: Wenchao Cui, Yi Wang, Yangyu Fan, Yan Feng, Tao Lei
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:International Journal of Biomedical Imaging
Online Access:http://dx.doi.org/10.1155/2013/930301
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author Wenchao Cui
Yi Wang
Yangyu Fan
Yan Feng
Tao Lei
author_facet Wenchao Cui
Yi Wang
Yangyu Fan
Yan Feng
Tao Lei
author_sort Wenchao Cui
collection DOAJ
description This paper presents a novel fuzzy energy minimization method for simultaneous segmentation and bias field estimation of medical images. We first define an objective function based on a localized fuzzy c-means (FCM) clustering for the image intensities in a neighborhood around each point. Then, this objective function is integrated with respect to the neighborhood center over the entire image domain to formulate a global fuzzy energy, which depends on membership functions, a bias field that accounts for the intensity inhomogeneity, and the constants that approximate the true intensities of the corresponding tissues. Therefore, segmentation and bias field estimation are simultaneously achieved by minimizing the global fuzzy energy. Besides, to reduce the impact of noise, the proposed algorithm incorporates spatial information into the membership function using the spatial function which is the summation of the membership functions in the neighborhood of each pixel under consideration. Experimental results on synthetic and real images are given to demonstrate the desirable performance of the proposed algorithm.
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institution Kabale University
issn 1687-4188
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language English
publishDate 2013-01-01
publisher Wiley
record_format Article
series International Journal of Biomedical Imaging
spelling doaj-art-aaf8ba774110450bb12c7df2e6b459432025-02-03T07:26:00ZengWileyInternational Journal of Biomedical Imaging1687-41881687-41962013-01-01201310.1155/2013/930301930301Localized FCM Clustering with Spatial Information for Medical Image Segmentation and Bias Field EstimationWenchao Cui0Yi Wang1Yangyu Fan2Yan Feng3Tao Lei4School of Electronics and Information, Northwestern Polytechnical University, Xi'an 710072, ChinaSchool of Electronics and Information, Northwestern Polytechnical University, Xi'an 710072, ChinaSchool of Electronics and Information, Northwestern Polytechnical University, Xi'an 710072, ChinaSchool of Electronics and Information, Northwestern Polytechnical University, Xi'an 710072, ChinaSchool of Electronics and Information, Northwestern Polytechnical University, Xi'an 710072, ChinaThis paper presents a novel fuzzy energy minimization method for simultaneous segmentation and bias field estimation of medical images. We first define an objective function based on a localized fuzzy c-means (FCM) clustering for the image intensities in a neighborhood around each point. Then, this objective function is integrated with respect to the neighborhood center over the entire image domain to formulate a global fuzzy energy, which depends on membership functions, a bias field that accounts for the intensity inhomogeneity, and the constants that approximate the true intensities of the corresponding tissues. Therefore, segmentation and bias field estimation are simultaneously achieved by minimizing the global fuzzy energy. Besides, to reduce the impact of noise, the proposed algorithm incorporates spatial information into the membership function using the spatial function which is the summation of the membership functions in the neighborhood of each pixel under consideration. Experimental results on synthetic and real images are given to demonstrate the desirable performance of the proposed algorithm.http://dx.doi.org/10.1155/2013/930301
spellingShingle Wenchao Cui
Yi Wang
Yangyu Fan
Yan Feng
Tao Lei
Localized FCM Clustering with Spatial Information for Medical Image Segmentation and Bias Field Estimation
International Journal of Biomedical Imaging
title Localized FCM Clustering with Spatial Information for Medical Image Segmentation and Bias Field Estimation
title_full Localized FCM Clustering with Spatial Information for Medical Image Segmentation and Bias Field Estimation
title_fullStr Localized FCM Clustering with Spatial Information for Medical Image Segmentation and Bias Field Estimation
title_full_unstemmed Localized FCM Clustering with Spatial Information for Medical Image Segmentation and Bias Field Estimation
title_short Localized FCM Clustering with Spatial Information for Medical Image Segmentation and Bias Field Estimation
title_sort localized fcm clustering with spatial information for medical image segmentation and bias field estimation
url http://dx.doi.org/10.1155/2013/930301
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