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 |
| ISSN号 | 0168-9673 |
| DOI | 10.1007/s10255-018-0723-4 |
| 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. |
| 资助项目 | NSFC[61379096] ; Chinese- Guangdong's S T project[2014A050503004] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000427057400006 |
| 出版者 | SPRINGER HEIDELBERG |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/29805]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Jing, Zhu-cui |
| 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：数学与系统科学研究院
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