Jing Zhucui1; Ye Juntao2; Xu Guoliang3
Source Publicationactamathematicaeapplicataesinica
AbstractIn 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.
Document Type期刊论文
Affiliation1.School of Economics and Management,Beijing Jiaotong University
Recommended Citation
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.
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