| 基于水平集逐层迭代算法的多层Mumford-Shah图像分割、去噪与重建模型 |
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| 引用本文： | 刘国才,王耀南.基于水平集逐层迭代算法的多层Mumford-Shah图像分割、去噪与重建模型[J].自动化学报,2006,32(4):534-540. |
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| 作者姓名： | 刘国才 王耀南 |
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| 作者单位： | 1.湖南大学电气与信息工程学院,长沙,410082 |
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| 基金项目： | 国家自然科学基金;高等学校博士学科点专项科研项目 |
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| 摘 要： | 针对能够同时进行图像分割、去噪与重建目的的Mumford-Shah能量泛涵最小值图像模型求解非常困难这一问题,提出了"多层Mumford-Shah图像分割、去噪与重建模型"和求解该多层模型最小值的"水平集逐层迭代算法".该多层模型是Mumford-Shah"最小分割问题"的"多层"模型.实验结果表明,该方法不仅能够同时进行具有T型图像边缘或更复杂拓扑结构图像边缘的图像分割、去噪与重建,而且比Tsai A.等人提出的多层求解轮廓和Chan T.等人提出的多相水平集方法更简单更有效.
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| 关 键 词： | Mumford-Shan模型 水平集方法 层次模型 活动轮廓模型 最小分割问题 |
| 收稿时间： | 2005-05-08 |
| 修稿时间： | 2006-01-04 |
Hierarchical Mumford-Shah Model for Image Segmentation,Denoising, and Reconstruction Using an Iterative Tier-by-Tier Algorithm Based on Level Set Methods |
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| LIU Guo-Cai,WANG Yao-Nan.Hierarchical Mumford-Shah Model for Image Segmentation,Denoising, and Reconstruction Using an Iterative Tier-by-Tier Algorithm Based on Level Set Methods[J].Acta Automatica Sinica,2006,32(4):534-540. |
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| Authors: | LIU Guo-Cai WANG Yao-Nan |
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| Affiliation: | 1.College of Electrical and Information Engineering, Hunan University, Changsha 410082 |
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| Abstract: | A novel hierarchical Mumford-Shah functional model is addressed to simultaneously segment,denoise and reconstruct the data within a given image and to handle important image features such as triple points and other multiple junctions, which can be seen as a hierarchical case of the Mumford-Shah minimal partition problem. At the same time, a new iterative tier-by-tier algorithm based on techniques of level set is proposed to minimize the hierarchical Mumford-Shah functional, which is more effective and more simple than existing algorithms such as the hierarchical approach proposed by Tsai A et al. and the multiphase level set methods proposed by Chan T et al. |
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| Keywords: | Mumford-Shah functional model level set methods hierarchical model activecontour models minimal image partition problem |
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