Application of a curvature adjusted method in image segmentation. (English) Zbl 1170.53040

Beneš, M.; Kimura, M.; Pauš, P.; Ševčovič, D.; Tsujikawa, T.; Yazaki, S.

Bull. Inst. Math., Acad. Sin. (N.S.) 3, No. 4, 509-523 (2008).

Summary: This article deals with flow of plane curves driven by the curvature and external force. We make use of such a geometric flow for the purpose of image segmentation. A parametric model for evolving curves with uniform and curvature adjusted redistribution of grid points will be described and compared.

MSC:

53C44	Geometric evolution equations (mean curvature flow, Ricci flow, etc.) (MSC2010)
35K55	Nonlinear parabolic equations
65M60	Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs
53A04	Curves in Euclidean and related spaces
68U10	Computing methodologies for image processing

Keywords:

image segmentation; evolving plane curves; redistribution; curvature adjusted tangential velocity