A general framework of piecewise-polynomial Mumford-Shah model for image segmentation

doi:10.1080/00207160.2016.1274741

	A general framework of piecewise-polynomial Mumford-Shah model for image segmentation
	Chen, Chong1 ; Leng, Juelin 2; Xu, Guoliang 1
	2017
发表期刊	INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
ISSN	0020-7160
卷号	94 期号:10 页码:1981-1997
摘要	A new general framework of piecewise-polynomial Mumford-Shah model is proposed. In terms of the fidelity term, we use piecewise polynomials to approximate the inner and outer regions of the contour of the objective image. For more accurate approximation of the image, the proposed model has no constraint on the regularization term for polynomials. Moreover, we apply the anisotropic control to drive the initial contour to the desirable position. The proposed model generalizes the well-known Chan-Vese model and improves Vese's model, which is almost the simplest framework to apply piecewise polynomials to approximate the original Mumford-Shah model. Instead of solving the Euler-Lagrange equation by evolution implementation, we utilize the split Bregman iteration, which is shown to be a fast algorithm. Experimental results demonstrate that the proposed model has more desirable performance in terms of segmentation accuracy, efficiency and robustness, compared with several other variational models in addressing some challenging segmentation scenarios.
关键词	Image segmentation piecewise-polynomial approximation anisotropic control intensity heterogeneity split Bregman iteration 11Y11 11Y16 11G20 11G99 68W20
DOI	10.1080/00207160.2016.1274741
语种	英语
资助项目	National Natural Science Foundation of China (NSFC)[11301520] ; NSFC[11101401] ; NSFC[81173663] ; NSFC Fund for Creative Research Groups of China[11321061]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000406391300003
出版者	TAYLOR & FRANCIS LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/26187
专题	计算数学与科学工程计算研究所
通讯作者	Chen, Chong
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, ICMSEC, POB 2719, Beijing 100190, Peoples R China 2.CAEP Software Ctr High Performance Numer Simulat, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Chen, Chong,Leng, Juelin,Xu, Guoliang. A general framework of piecewise-polynomial Mumford-Shah model for image segmentation[J]. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS,2017,94(10):1981-1997.
APA	Chen, Chong,Leng, Juelin,&Xu, Guoliang.(2017).A general framework of piecewise-polynomial Mumford-Shah model for image segmentation.INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS,94(10),1981-1997.
MLA	Chen, Chong,et al."A general framework of piecewise-polynomial Mumford-Shah model for image segmentation".INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS 94.10(2017):1981-1997.