An Image Segmentation Approach Based on Two-Dimension Lagrange Continuous Level Set

Osher S and Sethian J A. Fronts propagating with curvaturedependent speed: Algorithms based on Hamilton-Jacobiformulations[J]. Journal of Computational Physics, 1988,79(1): 12-49.[2] Osher S and Shu C W. High-order essentially nonoscillatoryschemes for Hamilton-Jacobi equation [J]. SIAM Journal ofNumerical Analysis, 1991, 28(4): 907-922.[3] 曹广真, 金亚秋. 基于水平集方法的多源遥感数据融合及城区道路提取[J]. 电子与信息学报, 2007, 29(6): 1464-1470.Cao Guang-zhen and Jin Ya-qiu. Data fusion of multi-sourceremote sensing based on level set method and application tourban road extraction [J]. Journal of Electronics Information Technology, 2007, 29(6): 1464-1470.[4] Kimmel R, Amir A, and Bruckstein A M. Finding shortestpaths on surfaces using level sets propagation [J]. IEEETransactions on Pattern Analysis and Machine Intelligence,1995, 17(6): 635-640.[5] 曹宗杰，闵锐，庞伶俐等. 基于统计模型的变分水平集SAR图像分割方法[J]. 电子与信息学报, 2008, 30(12): 2862-2866.Cao Zong-jie, Min Rui, and Pang Ling-li, et al.. A variationallevel set SAR image segmentation approach based onstatistical model [J]. Journal of Electronics InformationTechnology, 2008, 30(12): 2862-2866.[6] 梅雪，夏良正，李久贤. 一种基于变分水平集的红外图像分割算法[J]. 电子与信息学报, 2008, 30(7): 1700-1702.Mei Xue, Xia Liang-zheng, and Li Jiu-xian. A segmentationalgorithm of infrared image based on variational formulationlevel set model [J]. Journal of Electronics InformationTechnology, 2008, 30(7): 1700-1702.[7] 王斌，高新波. 基于水平集接力的图像自动分割方法[J]. 软件学报，2009, 20(5): 1185-1193.Wang Bin and Gao Xin-bo. Automatic image segmentationmethod using sequential level set [J]. Journal of Software,2009, 20(5): 1185-1193.[8] Chan T F and Vese L A. Active contours without edges[J].IEEE Transactions on Image Processing, 2001, 10(2):266-277.[9] Tsai R and Osher S. Level set methods and their applicationsin image science[J]. Communications in MathematicalSciences, 2003, 1(4): 1-20.[10] Lee Suk-ho and Seo Jin-keun. Level set-based bimodalsegmentation with stationary global minimum [J]. IEEETransactions on Image Processing, 2006, 15(9): 2843-2852.[11] Olivier B, Denis F, Philippe T, and Michael U. VariationalB-spline level-set: A linear filtering approach for fastdeformable model evolution [J]. IEEE Transactions on ImageProcessing, 2009, 18(6): 1179-1191.[12] Aubert G, Barlaud M, Faugeras O, and Jehan-Besson S.Image segmentation using active contours: Calculus ofvariations or shape gradients[J]. SIAM Journal on AppliedMathematics, 2003, 63(6): 2128-2154.[13] Gelas A, Bernard O, Friboulet D, and Prost R. Compactlysupported radial basis functions based collocation method forlevel-set evolution in image segmentation[J]. IEEETransactions on Image Processing, 2007, 16(7): 1873-1887.