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A geometric flow approach for region-based image segmentation-theoretical analysis

文献类型：期刊论文

作者Jing, Zhu-cui1; Ye, Juntao2; Xu, Guo-liang3
刊名ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES
出版日期2018
卷号34期号:1页码:65-76
关键词L-2-gradient Flow Bi-cubic B-spline Direct Method Image Segmentation
DOI10.1007/s10255-018-0723-4
文献子类Article
英文摘要In this paper, we analyze the well-posedness of an image segmentation model. The main idea of that segmentation model is to minimize one energy functional by evolving a given piecewise constant image towards the image to be segmented. The evolution is controlled by a serial of mappings, which can be represented by B-spline basis functions. The evolution terminates when the energy is below a given threshold. We prove that the correspondence between two images in the segmentation model is an injective and surjective mapping under appropriate conditions. We further prove that the solution of the segmentation model exists using the direct method in the calculus of variations. These results provide the theoretical support for that segmentation model.
WOS关键词ACTIVE CONTOURS ; MUMFORD ; MODEL ; EDGES
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000427057400006
资助机构NSFC(61379096) ; Chinese- Guangdong's S T project(2014A050503004)
源URL[http://ir.ia.ac.cn/handle/173211/21979]  
专题自动化研究所_模式识别国家重点实验室_多媒体计算与图形学团队
作者单位1.Beijing Jiaotong Univ, Sch Econ & Management, Beijing 100044, Peoples R China
2.Chinese Acad Sci, Inst Automat, Beijing 100190, Peoples R China
3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式
GB/T 7714		 Jing, Zhu-cui,Ye, Juntao,Xu, Guo-liang. A geometric flow approach for region-based image segmentation-theoretical analysis[J]. ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES,2018,34(1):65-76.
APA Jing, Zhu-cui,Ye, Juntao,&Xu, Guo-liang.(2018).A geometric flow approach for region-based image segmentation-theoretical analysis.ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES,34(1),65-76.
MLA Jing, Zhu-cui,et al."A geometric flow approach for region-based image segmentation-theoretical analysis".ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES 34.1(2018):65-76.

入库方式： OAI收割

来源：自动化研究所

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