A Fast Region-Based Segmentation Model with Gaussian Kernel of Fractional Order

By summarizing some classical active contour models from the view of level set representation, a simple energy function expression with the Gaussian kernel of fractional order is proposed, and then a novel region-based geometric active contour model is established. In this proposed model, the energy...

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Main Authors: Bo Chen, Qing-Hua Zou, Wen-Sheng Chen, Yan Li
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2013/501628
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author Bo Chen
Qing-Hua Zou
Wen-Sheng Chen
Yan Li
author_facet Bo Chen
Qing-Hua Zou
Wen-Sheng Chen
Yan Li
author_sort Bo Chen
collection DOAJ
description By summarizing some classical active contour models from the view of level set representation, a simple energy function expression with the Gaussian kernel of fractional order is proposed, and then a novel region-based geometric active contour model is established. In this proposed model, the energy function with value of [−1, 1] is built, the local mean and global mean of the inside and outside of the evolution curve are employed, and the segmentation results are obtained by controlling the expansion and contraction of the evolution curve. The model is simple and easy to implement; it can also protect weak edges because of considering more statistical information. Experimental results on synthetic and natural images show that the proposed model is much more effective in dealing with the images with weak or blurred edges, and it takes less time.
format Article
id doaj-art-0fdbffeb40c845288cf59e5432dfec17
institution Kabale University
issn 1687-9120
1687-9139
language English
publishDate 2013-01-01
publisher Wiley
record_format Article
series Advances in Mathematical Physics
spelling doaj-art-0fdbffeb40c845288cf59e5432dfec172025-02-03T01:00:40ZengWileyAdvances in Mathematical Physics1687-91201687-91392013-01-01201310.1155/2013/501628501628A Fast Region-Based Segmentation Model with Gaussian Kernel of Fractional OrderBo Chen0Qing-Hua Zou1Wen-Sheng Chen2Yan Li3College of Mathematics and Computational Science, Shenzhen University, Shenzhen 518060, ChinaCollege of Mathematics and Computational Science, Shenzhen University, Shenzhen 518060, ChinaCollege of Mathematics and Computational Science, Shenzhen University, Shenzhen 518060, ChinaCollege of Mathematics and Computational Science, Shenzhen University, Shenzhen 518060, ChinaBy summarizing some classical active contour models from the view of level set representation, a simple energy function expression with the Gaussian kernel of fractional order is proposed, and then a novel region-based geometric active contour model is established. In this proposed model, the energy function with value of [−1, 1] is built, the local mean and global mean of the inside and outside of the evolution curve are employed, and the segmentation results are obtained by controlling the expansion and contraction of the evolution curve. The model is simple and easy to implement; it can also protect weak edges because of considering more statistical information. Experimental results on synthetic and natural images show that the proposed model is much more effective in dealing with the images with weak or blurred edges, and it takes less time.http://dx.doi.org/10.1155/2013/501628
spellingShingle Bo Chen
Qing-Hua Zou
Wen-Sheng Chen
Yan Li
A Fast Region-Based Segmentation Model with Gaussian Kernel of Fractional Order
Advances in Mathematical Physics
title A Fast Region-Based Segmentation Model with Gaussian Kernel of Fractional Order
title_full A Fast Region-Based Segmentation Model with Gaussian Kernel of Fractional Order
title_fullStr A Fast Region-Based Segmentation Model with Gaussian Kernel of Fractional Order
title_full_unstemmed A Fast Region-Based Segmentation Model with Gaussian Kernel of Fractional Order
title_short A Fast Region-Based Segmentation Model with Gaussian Kernel of Fractional Order
title_sort fast region based segmentation model with gaussian kernel of fractional order
url http://dx.doi.org/10.1155/2013/501628
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