Journal of Shandong University(Engineering Science) ›› 2022, Vol. 52 ›› Issue (4): 54-68.doi: 10.6040/j.issn.1672-3961.0.2021.532

Previous Articles     Next Articles

Label function lifting method for variational model of multiphase image segmentation

DONG Lulu, SONG Jintao, WEI Weibo, PAN Zhenkuan*   

  1. College of Computer Science and Technology, Qingdao University, Qingdao 266071, Shandong, China
  • Published:2022-08-24

CLC Number: 

  • TP391
[1] 房巾莉, 吕毅斌, 王樱子, 等. 基于水平集的医学图像分割算法[J]. 电子科技, 2021, 34(2): 12-20. FANG Jinli, LÜ Yibin, WANG Yingzi, et al. Medical image segmentation algorithm based on level set[J]. Electronic Science and Technology, 2021, 34(2): 12-20.
[2] 李晓慧, 汪西莉. 结合目标局部和全局特征的CV遥感图像分割模型[J]. 图学学报, 2020, 41(6): 905-916. LI Xiaohui, WANG Xili. CV image segmentation model combining with local and global features of the target[J]. Journal of Graphics, 2020, 41(6):905-916.
[3] 刘步实, 吕永波, 吕万钧,等. 基于MS-RG混合图像分割模型的道路检测研究[J]. 交通运输系统工程与信息, 2019, 19(2): 60-65. LIU Bushi, LÜ Yongbo, LÜ Wanjun, et al. Research on road detection based on MS-RG hybrid image segmentation model[J]. Journal of Transportation Systems Engineering and Information Technology, 2019, 19(2): 60-65.
[4] BAE E, YUAN J, TAI X C. Simultaneous convex optimization of regions and region parameters in image segmentation models[M]. Berlin, Germany: Springer, 2013: 421-438.
[5] 刘花香, 方江雄, 肖静,等. 基于全局凸优化变分模型的快速多相图像分割方法: ZL2015102501678[P]. 2015-08-12.
[6] BENNINGHOFF H, GARCKE H. Segmentation of three-dimensional images with parametric active surfaces and topology changes[J]. Journal of Scientific Computing, 2017, 72(3): 1333-1367.
[7] POTTS R B. Some generalized order-disorder transformations[J]. Mathematical Proceedings of the Cambridge Philosophical Society, 1952, 48(1): 106-109.
[8] SAMSON C, BLANC-FÉRAUD L, ZERUBIA J, et al. A level set model for image classification[J]. International Journal of Computer Vision, 1999, 40(3): 187-197.
[9] 潘振宽, 李华, 魏伟波, 等. 三维图像多相分割的变分水平集方法[J]. 计算机学报, 2009, 32(12): 2464-2474. PAN Zhenkuan, LI Hua, WEI Weibo, et al. A variational level set method of multiphase segmentation for 3D images[J]. Chinese Journal of Computers, 2009, 32(12): 2464-2474.
[10] VESE L A, CHAN T F. A multiphase level set framework for image segmentation using the Mumford and Shah model[J]. International Journal of Computer Vision, 2002, 50(3): 271-293.
[11] CHUNG G, VESE L A. Energy minimization based segmentation and denoising using a multilayer level set approach[C] // Proceedings of the 5th International Workshop on Energy Minimization Methods in Computer Vision and Pattern Recognition. St. Augustine, USA: Springer, 2005: 439-455.
[12] CHAN T F, ESEDOGLU S, NIKOLOVA M. Algorithms for finding global minimizers of image segmentation and denoising models[J]. SIAM Journal on Applied Mathematics, 2006, 66(5): 1632-1648.
[13] LIE J, LYSAKER M, TAI X C. A binary level set model and some applications to Mumford-Shah image segmentation[J]. IEEE Transactions on Image Processing, 2006, 15(5): 1171-1181.
[14] LIE J, LYSAKER M, TAI X C. A piecewise constant level set framework[J]. International Journal of Numerical Analysis and Modeling, 2005, 2(4): 422-438.
[15] POCK T, SCHOENEMANN T, GRABER G, et al. A convex formulation of continuous multi-label problems[C] // Proceedings of Computer Vision: ECCV 2008, 10th European Conference on Computer Vision. Marseille, France: Springer, 2008: 792-805.
[16] 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.
[17] POCK T, CREMERS D, BISCHOF H, et al. Global solutions of variational models with convex regularization[J]. SIAM Journal on Imaging Sciences, 2010, 3(4): 1122-1145.
[18] STREKALOVSKIY E, CHAMBOLLE A, CREMERS D. Convex relaxation of vectorial problems with coupled regularization[J]. SIAM Journal on Imaging Sciences, 2014, 7(1): 294-336.
[19] MOLLENHOFF T, LAUDE E, MOELLER M, et al. Sublabel-accurate relaxation of nonconvex energies[C] //Proceedings of 2016 IEEE Conference on Computer Vision and Pattern Recognition(CVPR). Las Vegas, USA: IEEE, 2016: 3948-3956.
[20] MOLLENHOFF T, CREMERS D. Sublabel-accurate discretization of nonconvex free-discontinuity problems[C] // Proceedings of 2017 IEEE International Conference on Computer Vision(ICCV). Venice, Italy: IEEE, 2017: 1192-1200.
[21] LOEWENHAUSER B, LELLMANN J. Functional lifting for variational problems with higher-order regularization[M]. Cham, Switzerland: Springer, 2018: 101-120.
[22] VOGT T, LELLMANN J. Functional liftings of vectorial variational problems with laplacian regularization[C] //Proceedings of Scale Space and Variational Methods in Computer Vision. Cham, Switzerland: Springer International Publishing, 2019: 559-571.
[23] CONDAT L, KITAHARA D, HIRABAYASHI A. A convex lifting approach to image phase unwrapping[C] //Proceedings of ICASSP 2019: 2019 IEEE International Conference on Acoustics, Speech and Signal Processing(ICASSP). Brighton, UK: IEEE, 2019: 1852-1856.
[24] VOGT T, STREKALOVSKIY E, CREMERS D, et al. Lifting methods for Manifold-Valued variational problems[M]. Cham, Switzerland: Springer, 2020: 95-119.
[25] WU T, GU X, SHAO J,et al. Color image segmentation based on a convex k-means approach[J]. IET Image Processing, 2021, 15(8): 1596-1606.
[26] CHAMBOLLE A, POCK T. A first-order primal-dual algorithm for convex problems with applications to imaging[J]. Journal of Mathematical Imaging and Vision, 2011, 40(1): 120-145.
[27] KHATIBINIA M, ROODSARABI M. Structural topology optimization based on hybrid of piecewise constant level set method and isogeometric analysis[J]. International Journal of Optimization in Civil Engineering, 2020, 10(3): 493-512.
[1] DENG Bin, ZHANG Zongbao, ZHAO Wenmeng, LUO Xinhang, WU Qiuwei. Cloud-edge collaborative and graph neural network based load forecasting method for electric vehicle charging stations [J]. Journal of Shandong University(Engineering Science), 2025, 55(5): 62-69.
[2] LI Erchao, ZHANG Zhizhao. Online dynamic demand vehicle routing planning [J]. Journal of Shandong University(Engineering Science), 2024, 54(5): 62-73.
[3] YANG Jucheng, WEI Feng, LIN Liang, JIA Qingxiang, LIU Jianzheng. A research survey of driver drowsiness driving detection [J]. Journal of Shandong University(Engineering Science), 2024, 54(2): 1-12.
[4] XIAO Wei, ZHENG Gengsheng, CHEN Yujia. Named entity recognition method combined with self-training model [J]. Journal of Shandong University(Engineering Science), 2024, 54(2): 96-102.
[5] Gang HU, Lemeng WANG, Zhiyu LU, Qin WANG, Xiang XU. Importance identification method based on multi-order neighborhood hierarchical association contribution of nodes [J]. Journal of Shandong University(Engineering Science), 2024, 54(1): 1-10.
[6] Jiachun LI,Bowen LI,Jianbo CHANG. An efficient and lightweight RGB frame-level face anti-spoofing model [J]. Journal of Shandong University(Engineering Science), 2023, 53(6): 1-7.
[7] Yujiang FAN,Huanhuan HUANG,Jiaxiong DING,Kai LIAO,Binshan YU. Resilience evaluation system of the old community based on cloud model [J]. Journal of Shandong University(Engineering Science), 2023, 53(5): 1-9, 19.
[8] Ying LI,Jiankun WANG. The classification of mild cognitive impairment based on supervised graph regularization and information fusion [J]. Journal of Shandong University(Engineering Science), 2023, 53(4): 65-73.
[9] WU Yanli, LIU Shuwei, HE Dongxiao, WANG Xiaobao, JIN Di. Poisson-gamma topic model of describing multiple underlying relationships [J]. Journal of Shandong University(Engineering Science), 2023, 53(2): 51-60.
[10] YU Mingjun, DIAO Hongjun, LING Xinghong. Online multi-object tracking method based on trajectory mask [J]. Journal of Shandong University(Engineering Science), 2023, 53(2): 61-69.
[11] LIU Xing, YANG Lu, HAO Fanchang. Finger vein image retrieval based on multi-feature fusion [J]. Journal of Shandong University(Engineering Science), 2023, 53(2): 118-126.
[12] LIU Fangxu, WANG Jian, WEI Benzheng. Auxiliary diagnosis algorithm for pediatric pneumonia based on multi-spatial attention [J]. Journal of Shandong University(Engineering Science), 2023, 53(2): 135-142.
[13] YU Yixuan, YANG Geng, GENG Hua. Multimodal hierarchical keyframe extraction method for continuous combined motion [J]. Journal of Shandong University(Engineering Science), 2023, 53(2): 42-50.
[14] HUANG Huajuan, CHENG Qian, WEI Xiuxi, YU Chuchu. Adaptive crow search algorithm with Jaya algorithm and Gaussian mutation [J]. Journal of Shandong University(Engineering Science), 2023, 53(2): 11-22.
[15] ZHANG Hao, LI Ziling, LIU Tong, ZHANG Dawei, TAO Jianhua. A technology prediction model based on fuzzy Bayesian networks with sociological factors [J]. Journal of Shandong University(Engineering Science), 2023, 53(2): 23-33.
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
[1] ZHANG Yong-hua,WANG An-ling,LIU Fu-ping . The reflected phase angle of low frequent inhomogeneous[J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2006, 36(2): 22 -25 .
[2] KONG Xiang-zhen,LIU Yan-jun,WANG Yong,ZHAO Xiu-hua . Compensation and simulation for the deadband of the pneumatic proportional valve[J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2006, 36(1): 99 -102 .
[3] LAI Xiang . The global domain of attraction for a kind of MKdV equations[J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2006, 36(1): 87 -92 .
[4] YU Jia yuan1, TIAN Jin ting1, ZHU Qiang zhong2. Computational intelligence and its application in psychology[J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2009, 39(1): 1 -5 .
[5] JI Tao,GAO Xu/sup>,SUN Tong-jing,XUE Yong-duan/sup>,XU Bing-yin/sup> . Characteristic analysis of fault generated traveling waves in 10 Kv automatic blocking and continuous power transmission lines[J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2006, 36(2): 111 -116 .
[6] QIN Tong, SUN Fengrong*, WANG Limei, WANG Qinghao, LI Xincai. 3D surface reconstruction using the shape based interpolation guided by maximal discs[J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2010, 40(3): 1 -5 .
[7] Yue Khing Toh1, XIAO Wendong2, XIE Lihua1. Wireless sensor network for distributed target tracking: practices via real test bed development[J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2009, 39(1): 50 -56 .
[8] SUN Dianzhu, ZHU Changzhi, LI Yanrui. [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2009, 39(1): 84 -86 .
[9] XIA Bin,ZHANG Lian-jun . Energy comparison-based TOA estimation algorithm for the DS-CDMA UWB system[J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2007, 37(1): 70 -73 .
[10] HU Tian-liang,LI Peng,ZHANG Cheng-rui,ZUO Yi . Design of a QEP decode counter based on VHDL[J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2008, 38(3): 10 -13 .