[1] Mumford D, Shah J. Optimal Approximations by Piecewise Smooth Functions and Associated Variational Problems [J]. Communications on Pure and Applied Mathematics, 1989, 42(5): 577-685.
[2] Kass M, Witkin A P, Terzopoulos D. Snakes: Active Contour Models [J]. International Journal of Computer Vision, 1988, 1(4): 321-331.
[3] Chan T F, Vese L A. Active Contours without Edges [J]. IEEE Transactions on Image Processing, 2001, 10(2): 266-277.
[4] Li Z, Wang W, Shui P. Parameter Estimation and Two-stage Segmentation Algorithm for the Chan-Vese Model [C]//IEEE International Conference on Image Processing. Piscataway: IEEE, 2006: 201-204.
[5] 李政文, 王卫卫, 水鹏朗. 基于Mumford-Shah模型的参数估计和两阶段图像分割方法[J]. 电子学报, 2006, 34(12): 2242-2245.
Li Zhengwen, Wang Weiwei, Shui Penglang. Parameter Estimation and Two Step Segmentation Based on Mumford-Shah Model [J]. Acta Electronica Sinica, 2006, 34(12): 2242-2245.
[6] Li C, Xu C, Gui C, et al. Level Set Evolution without Re-initialization: a New Variational Formulation [C]//IEEE Conference on Computer Vision and Pattern Recognition. Los Alamitos: IEEE, 2005: 430-436.
[7] Li C, Xu C, Gui C, et al. Distance Regularized Level Set Evolution and Its Application to Image Segmentation[J]. IEEE Transactions on Image Processing, 2010, 19(12): 3243-3254.
[8] Zhang K, Zhang L, Song H, et al. Active Contours with Selective Local or Global Segmentation: a new Formulation and Level Set Method [J]. Image and Vision Computing, 2010, 28(4): 668-676.
[9] Brown E S, Chan T F, Bresson X. Completely Convex Formulation of the Chan-Vese Image Segmentation Model [J]. International Journal of Computer Vision, 2012, 98(1): 103-121.
[10] Han Y, Wang W, Feng X. A New Fast Multiphase Image Segmentation Algorithm Based on Nonconvex Regularizer [J]. Pattern Recognition, 2012, 45(1): 363-372.
[11] Zhao Z, Han Y, Wang H, et al. A Novel Non-convex Regularization Method for Image Segmentation [C]//2011 International Conference on Multimedia Technology (ICMT). Piscataway: IEEE, 2011: 2884-2887.
[12] 尚晓清, 杨琳, 赵志龙. 基于非凸正则化项的合成孔径雷达图像分割新算法[J]. 光子学报, 2012, 41(9): 1124-1129.
Shang Xiaoqing, Yang Lin, Zhao Zhilong. A New SAR Segmentation Algorithm Based on Nonconvex Regularization [J]. Acta Photonica Sinica, 2012, 41(9): 1124-1129.
[13] 汪云飞, 毕笃彦, 黄飞. 一种用于图像分割的等周算法改进[J]. 西安电子科技大学学报, 2012, 39(2): 87-94.
Wang Yunfei, Bi Duyan, Huang Fei. Improved Isoperimetric Algorithm for Image Segmentation [J]. Journal of Xidian University, 2012, 39(2): 87-94.
[14] 崔艳鹏, 胡建伟, 杨绍全, 等. 利用DT-GrowCut的MSTAR SAR图像自动分割技术[J]. 西安电子科技大学学报, 2011, 38(3): 150-154.
Cui Yanpeng, Hu Jianwei, Yang Shaoquan, et al. SAR Image Automatic Segmentation Based on DT-GrowCut [J]. Journal of Xidian University, 2011, 38(3): 150-154.
[15] Aubert G, Kornprobst P. Mathematical Problems in Image Processing: Partial Differential Equations and the Calculus of Variations [M]. 2nd Ed. Berlin: Springer-Verlag, 2006.
[16] 李亚峰, 冯象初. 高阶非局部变分模型[J]. 西安电子科技大学学报, 2012, 39(1): 86-91.
Li Yafeng, Feng Xiangchu. Higher-order Nonlocal Variational Model [J]. Journal of Xidian University, 2012, 39(1): 86-91.
[17] Osher S, Fedkiw R. Level Set Methods and Dynami Implicit Surfaces [M]. Berlin: Springer-Verlag, 2002.
[18] Nesterov Y. Introductory Lectures on Convex Optimization [M]. Boston: Kluwer, 2004.
[19] Nesterov Y. Smooth Minimization of Non-smooth Functions [J]. Mathematical Programming: Series A and B, 2005, 103 (1): 127-152.
[20] Chipot M, March R, Rosati M, et al. Analysis of a Nonconvex Problem Related to Signal Selective Smoothing[J]. Mathematical Models and Methods in Applied Science, 1997, 7(3): 313-328. |