ageometricflowapproachforregionbasedimagesegmentationtheoreticalanalysis

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	ageometricflowapproachforregionbasedimagesegmentationtheoreticalanalysis
	Jing Zhucui 1; Ye Juntao 2; Xu Guoliang 3
	2018-01-01
发表期刊	actamathematicaeapplicataesinica
ISSN	0168-9673
卷号	34 期号:1 页码:65
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.
语种	英语
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/38752
专题	中国科学院数学与系统科学研究院
作者单位	1.School of Economics and Management,Beijing Jiaotong University 2.中国科学院自动化研究所 3.中国科学院数学与系统科学研究院
推荐引用方式 GB/T 7714	Jing Zhucui,Ye Juntao,Xu Guoliang. ageometricflowapproachforregionbasedimagesegmentationtheoreticalanalysis[J]. actamathematicaeapplicataesinica,2018,34(1):65.
APA	Jing Zhucui,Ye Juntao,&Xu Guoliang.(2018).ageometricflowapproachforregionbasedimagesegmentationtheoreticalanalysis.actamathematicaeapplicataesinica,34(1),65.
MLA	Jing Zhucui,et al."ageometricflowapproachforregionbasedimagesegmentationtheoreticalanalysis".actamathematicaeapplicataesinica 34.1(2018):65.