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Geometric Flow Approach for Region-Based Image Segmentation
Ye, Juntao1; Xu, Guoliang2
Source PublicationIEEE TRANSACTIONS ON IMAGE PROCESSING
2012-12-01
Volume21Issue:12Pages:4735-4745
SubtypeArticle
AbstractGeometric flows have been successfully used for surface modeling and designing, largely because they are inherently good at controlling geometric shape evolution. Variational image segmentation approaches, on the other hand, detect objects of interest by deforming certain given shapes. This motivates us to revisit the minimal partition problem for segmentation of images, and propose a new geometric flow-based formulation and solution to it. Our model intends to derive a mapping that will evolve given contours or piecewise-constant regions toward objects in the image. The mapping is approximated by B-spline basis functions, and the positions of the control points are to be determined. Starting with the energy functional based on intensity averaging, we derive a Euler-Lagrange equation and then a geometric evolution equation. The linearized system of equations is efficiently solved via a special matrix-vector multiplication technique. Furthermore, we extend the piecewise-constant model to a piecewise-smooth model which effectively handles images with intensity inhomogeneity.
KeywordGeometric Flow Image Segmentation Minimization Partial Differential Equations (Pde) Variational Method
WOS HeadingsScience & Technology ; Technology
WOS KeywordLEVEL SET METHOD ; ACTIVE CONTOURS ; ANISOTROPIC DIFFUSION ; IRREGULAR MESHES ; CURVE EVOLUTION ; SURFACE DESIGN ; CURVATURE FLOW ; MUMFORD ; FRAMEWORK ; MODEL
Indexed BySCI
Language英语
WOS Research AreaComputer Science ; Engineering
WOS SubjectComputer Science, Artificial Intelligence ; Engineering, Electrical & Electronic
WOS IDWOS:000311363200005
Citation statistics
Cited Times:7[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.ia.ac.cn/handle/173211/3306
Collection数字内容技术与服务研究中心_听觉模型与认知计算
Affiliation1.Chinese Acad Sci, Inst Automat, Ctr Interact Digital Media Technol, Beijing 100190, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci & Engn Comp, Beijing 100190, Peoples R China
First Author AffilicationInstitute of Automation, Chinese Academy of Sciences
Recommended Citation
GB/T 7714
Ye, Juntao,Xu, Guoliang. Geometric Flow Approach for Region-Based Image Segmentation[J]. IEEE TRANSACTIONS ON IMAGE PROCESSING,2012,21(12):4735-4745.
APA Ye, Juntao,&Xu, Guoliang.(2012).Geometric Flow Approach for Region-Based Image Segmentation.IEEE TRANSACTIONS ON IMAGE PROCESSING,21(12),4735-4745.
MLA Ye, Juntao,et al."Geometric Flow Approach for Region-Based Image Segmentation".IEEE TRANSACTIONS ON IMAGE PROCESSING 21.12(2012):4735-4745.
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