第4期 吴其平，等：一种快速鲁棒核空间图形模糊聚类分割算法 ·811 [7]THONG P H,SON L H.Picture fuzzy clustering:a new DING Zhen,HU Zhongshan,YANG Jingyu,et al.FCM computational intelligence method[J].Soft computing, algorithm for the research of intensity image segmenta- 2016,20(9):3549-3562. tion[J].Acta electronica sinica,1997,25(5):39-43. [8]ARUNA KUMAR S V.HARISH B S.MANJUNATH [16]刘健庄.基于二维直方图的图象模糊聚类分割方法U ARADHYA V N.A picture fuzzy clustering approach for 电子学报，1992,20(9：40-46. brain tumor segmentation[C]//Proceedings of 2016 Second LIU Jianzhuang.A fuzzy clustering method of image seg- International Conference on Cognitive Computing and In- mentation based on two-dimensional histogram[J.Acta formation Processing.Mysuru,India,2016:1-6. electronica sinica.1992.20(9):40-46. [9]SON L H.THONG P H.Some novel hybrid forecast meth- [17]TIAN Muling,YANG Jieming.Froth image segmenta- ods based on picture fuzzy clustering for weather nowcast- tion of coal flotation using weighted fuzzy C-mean clus- ing from satellite image sequences[J].Applied intelligence, tering by two-dimensional histogram[J].International 2017,46(1):1-15 journal of advancements in computing technology,2013, [10们]吴成茂，吴其平，一种基于改进PFCM的鲁棒图像分割 5(7):1203-1210. 算法).西安邮电大学学报，2017,22(5)：37-43. [18]PHAM HUY T,LE HOANG S.A novel automatic pic- WU Chengmao,WU Qiping.A robust image segmenta- ture fuzzy clustering method based on particle swarm op- tion algorithm based on the improved picture fuzzy clus- timization and picture composite cardinality[J].Know- tering method on picture fuzzy sets[J].Journal of Xi'an ledge-based systems,2016,106:48-60. University of Posts and Telecommunications,2017, [19]吴成茂，上官若愚.嵌入隐马尔科夫随机场的中智模糊 22(5):37-43. 聚类算法).西安电子科技大学学报（自然科学版）， [11]范九伦.模糊聚类新算法与聚类有效性问题研究D] 2017,44(6:113-118. 西安：西安电子科技大学，1998. WU Chengmao,SHANGGUAN Ruoyu.Neutrosophic FAN Jiulun.Studies on new fuzzy clustering algorithms fuzzy clustering segmentation algorithm based on and clustering validity problems[D].Xi'an:Xidian Uni- HMRF[J].Journal of Xidian University (natural sciences), versity,1998 2017,446):113-118 [12]DE CARVALHO F D A T,SIMOES E C,SANTANA L V C,et al.Gaussian kernel c-means hard clustering al- 作者简介： gorithms with automated computation of the width hyper- 吴其平，女，1992年生，硕士研究 parameters[J].Pattern recognition,2018,79:370-386. 生，主要研究方向为图像处理。 [13]CAI Weiling,CHEN Songcan,ZHANG Daoqiang.Fast and robust fuzzy c-means clustering algorithms incorpor- ating local information for image segmentation[J.Pat- tern recognition,2007,40(3):825-838. [14]NONGMEIKAPAM K.KUMAR W K.SINGH A D.Fast and automatically adjustable GRBF kernel based fuzzy C- 吴成茂，男，1968年生，高级工程 师，主要研究方向为图像处理与信息 means for cluster-wise coloured feature extraction and 安全。主持省部级项目3项。发表学 segmentation of MR images[J].IET image processing, 术论文100余篇。 2018.12(4513-524. [15]丁震，胡钟山，杨静字，等.FCM算法用于灰度图象分割 的研究).电子学报，1997,25(5)：39-43.THONG P H, SON L H. Picture fuzzy clustering: a new computational intelligence method[J]. Soft computing, 2016, 20(9): 3549–3562. [7] ARUNA KUMAR S V, HARISH B S, MANJUNATH ARADHYA V N. A picture fuzzy clustering approach for brain tumor segmentation[C]//Proceedings of 2016 Second International Conference on Cognitive Computing and In￾formation Processing. Mysuru, India, 2016: 1-6. [8] SON L H, THONG P H. Some novel hybrid forecast meth￾ods based on picture fuzzy clustering for weather nowcast￾ing from satellite image sequences[J]. Applied intelligence, 2017, 46(1): 1–15. [9] 吴成茂, 吴其平. 一种基于改进 PFCM 的鲁棒图像分割 算法 [J]. 西安邮电大学学报, 2017, 22(5): 37–43. WU Chengmao, WU Qiping. A robust image segmenta￾tion algorithm based on the improved picture fuzzy clus￾tering method on picture fuzzy sets[J]. Journal of Xi’an University of Posts and Telecommunications, 2017, 22(5): 37–43. [10] 范九伦. 模糊聚类新算法与聚类有效性问题研究 [D]. 西安: 西安电子科技大学, 1998. FAN Jiulun. Studies on new fuzzy clustering algorithms and clustering validity problems[D]. Xi’an: Xidian Uni￾versity, 1998. [11] DE CARVALHO F D A T, SIMÕES E C, SANTANA L V C, et al. Gaussian kernel c-means hard clustering al￾gorithms with automated computation of the width hyper￾parameters[J]. Pattern recognition, 2018, 79: 370–386. [12] CAI Weiling, CHEN Songcan, ZHANG Daoqiang. Fast and robust fuzzy c-means clustering algorithms incorpor￾ating local information for image segmentation[J]. Pat￾tern recognition, 2007, 40(3): 825–838. [13] NONGMEIKAPAM K, KUMAR W K, SINGH A D. Fast and automatically adjustable GRBF kernel based fuzzy C￾means for cluster-wise coloured feature extraction and segmentation of MR images[J]. IET image processing, 2018, 12(4): 513–524. [14] 丁震, 胡钟山, 杨静宇, 等. FCM 算法用于灰度图象分割 的研究 [J]. 电子学报, 1997, 25(5): 39–43. [15] DING Zhen, HU Zhongshan, YANG Jingyu, et al. FCM algorithm for the research of intensity image segmenta￾tion[J]. Acta electronica sinica, 1997, 25(5): 39–43. 刘健庄. 基于二维直方图的图象模糊聚类分割方法 [J]. 电子学报, 1992, 20(9): 40–46. LIU Jianzhuang. A fuzzy clustering method of image seg￾mentation based on two-dimensional histogram[J]. Acta electronica sinica, 1992, 20(9): 40–46. [16] TIAN Muling, YANG Jieming. Froth image segmenta￾tion of coal flotation using weighted fuzzy C-mean clus￾tering by two-dimensional histogram[J]. International journal of advancements in computing technology, 2013, 5(7): 1203–1210. [17] PHAM HUY T, LE HOANG S. A novel automatic pic￾ture fuzzy clustering method based on particle swarm op￾timization and picture composite cardinality[J]. Know￾ledge-based systems, 2016, 106: 48–60. [18] 吴成茂, 上官若愚. 嵌入隐马尔科夫随机场的中智模糊 聚类算法 [J]. 西安电子科技大学学报(自然科学版), 2017, 44(6): 113–118. WU Chengmao, SHANGGUAN Ruoyu. Neutrosophic fuzzy clustering segmentation algorithm based on HMRF[J]. Journal of Xidian University (natural sciences), 2017, 44(6): 113–118. [19] 作者简介： 吴其平，女，1992 年生，硕士研究 生，主要研究方向为图像处理。 吴成茂，男，1968 年生，高级工程 师，主要研究方向为图像处理与信息 安全。主持省部级项目 3 项。发表学 术论文 100 余篇。 第 4 期 吴其平，等：一种快速鲁棒核空间图形模糊聚类分割算法 ·811·