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Deformable Model Using Radial Basis Functions Based Level Set Interpolation with an Ellipse Constraint

並列摘要


A level-set-based method using a radial basis functions (RBFs) based level set interpolation with an ellipse constraint is presented for image contour extraction. In the present method, the initial distance function embedded in the ellipse-constrained RBFs is interpolated using a coarse grid. The deformation of the level set function (LSF) is considered as an update of the RBFs' coefficients by solving an ordinary differential equation (ODE) and non-convex constrained quadratic programming (QCQP). A semi-definite relaxation approach is proposed to solve the non-convex QCQP problem. The proposed level set evolving scheme, which does not need initialization and re-initialization, is efficient and does not suffer from self-flattening. The objects with extremely complex shapes can be exactly fitted with a coarse grid of RBFs' centers and the image extraction is less sensitive to the distribution of the objects in the image domain.

參考文獻


Casselles, V.,Kimmel, R.,Saprio, G.(1997).Geodesic active contours.International Journal of Computer Vision.22(1),61-79.
Xie, X.,Mirmehdi, M.(2011).Radial basis function based level-set interpolation and evolution for deformable modeling.Image and Vision Computing.29(2-3),167-177.
Li, C.,Xu, C.,Gui, C.,Fox, M. D.(2010).Distance regularized level-set evolution and its application to image segmentation.IEEE Transactions on Image Processing.19(12),3243-3254.
Chan, T.,Vese, L.(2001).Active contours without edges.IEEE Trans. on Image Processing.10(2),266-277.
Mumford, D.,Shah, J.(1989).Optimal approximation by piecewise smooth functions and associated variational problems.Communications on Pure Applied Mathematics.42(5),577-685.

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