计算机应用专辑

融合空间纹理特征的三维模糊聚类算法

  • 金正洋 ,
  • 阎少宏 ,
  • 张艳博 ,
  • 姚旭龙 ,
  • 陶志刚 ,
  • 陈志远
展开
  • 1. 华北理工大学 理学院, 河北 唐山 063210;
    2. 华北理工大学 矿业工程学院, 河北 唐山 063210;
    3. 河北省矿山绿色智能开采技术创新中心, 河北 唐山 063210;
    4. 深部岩土力学与地下工程国家重点实验室, 北京 100083;
    5. 华北理工大学 人工智能学院, 河北 唐山 063210

收稿日期: 2025-08-01

  网络出版日期: 2026-02-03

基金资助

国家自然科学基金(No.52474099);河北省创新能力提升计划项目(No.23564201D)

Three-Dimensional Fuzzy Clustering Algorithm Integrating Spatial Texture Features

  • JIN Zhengyang ,
  • YAN Shaohong ,
  • ZHANG Yanbo ,
  • YAO Xulong ,
  • TAO Zhigang ,
  • CHEN Zhiyuan
Expand
  • 1. College of Science, North China University of Science and Technology, Tangshan 063210, Hebei, China;
    2. College of Mining Engineering, North China University of Science and Technology, Tangshan 063210, Hebei, China;
    3. Green Intelligent Mining Technology Innovation Center of Hebei Province, Tangshan 063210, Hebei, China;
    4. State Key Laboratory for Deep Geomechanics and Underground Engineering, Beijing 100083, China;
    5. College of Artificial Intelligence, North China University of Science and Technology, Tangshan 063210, Hebei, China

Received date: 2025-08-01

  Online published: 2026-02-03

摘要

传统的模糊C均值(fuzzy C-means,FCM)聚类算法受初始聚类中心和噪声点的影响较大,且这些影响在复杂环境或是高维度空间中会被进一步放大。针对这一问题提出了一种融合空间纹理特征的三维FCM算法,旨在提取研究对象内部因组成成分分布不均匀而形成的密度差异显著区域。首先,参考二维空间灰度共生矩阵及平面纹理特征理论,将其延拓到三维空间,用以刻画空间纹理特征;其次,利用对比度纹理特征来优选出初始聚类中心;最后,将相异性纹理特征与传统FCM算法目标函数相融合,以提高算法的抗噪能力。在裂隙提取仿真模拟实验中,本文算法的目标提取准确率达到99.39 %,较传统FCM算法(准确率为65.31 %)提高了34 %,验证了新型算法提取研究对象内部密度差异显著区域的可行性。在实际应用中,新型算法对于人体胸部骨骼的识别与提取也表现出优越的适用性。

本文引用格式

金正洋 , 阎少宏 , 张艳博 , 姚旭龙 , 陶志刚 , 陈志远 . 融合空间纹理特征的三维模糊聚类算法[J]. 应用科学学报, 2026 , 44(1) : 134 -148 . DOI: 10.3969/j.issn.0255-8297.2026.01.009

Abstract

The traditional fuzzy C-means (FCM) clustering algorithm is highly sensitive to the initial cluster centers and the noise points. These limitations become more pronounced in complex environments or high-dimensional spaces. To overcome these issues, this study proposed a three-dimensional FCM algorithm integrating spatial texture features. The algorithm was designed to identify regions with noticeable density differences caused by uneven distribution of internal components in the analyzed objects. First, the method extended the two-dimensional gray-level co-occurrence matrix and planar texture feature theory into three-dimensional space to describe spatial texture features. Next, contrast texture features were used to improve the selection of initial cluster centers. Finally, dissimilarity texture features were integrated into the conventional objective function of FCM algorithm to enhance noise resistance. In a simulated experiment on fracture extraction, the proposed algorithm achieved an accuracy of 99.39%, representing a 34% improvement over the traditional FCM algorithm (accuracy of 65.31%). These results confirm the effectiveness of the new algorithm in extracting regions with noticeable density differences inside the analyzed objects. In practical applications, the new algorithm shows superior performance in identifying and extracting human thoracic skeleton.

参考文献

[1] Zou Y N, Yao G J, Wang J. Research on 3D crack segmentation of CT images of oil rock core [J]. PLoS One, 2021, 16(10): e0258463.
[2] 张婧, 张策, 张茹, 等. 图像分割述评: 基本概貌、 典型算法及比较分析[J]. 计算机技术与发展, 2024, 34(1): 1-8. Zhang J, Zhang C, Zhang R, et al. Review of image segmentation: basic overview, typical algorithms and comparative analysis [J]. Computer Technology and Development, 2024, 34(1): 1-8. (in Chinese)
[3] 邵超, 润清晨. 聚类集成研究综述[J]. 计算机工程与应用, 2024, 60(7): 41-57. Shao C, Run Q C. Survey of clustering ensemble research [J]. Computer Engineering and Applications, 2024, 60(7): 41-57. (in Chinese)
[4] Fukunaga K, Hostetler L. The estimation of the gradient of a density function, with applications in pattern recognition [J]. IEEE Transactions on Information Theory, 1975, 21(1): 32-40.
[5] Ester M, Kriegel H P, Sander J, et al. A density-based algorithm for discovering clusters in large spatial databases with noise [C]//2nd International Conference on Knowledge Discovery and Data Mining, 1996: 226-231.
[6] Macqueen J. Some methods for classification and analysis of multivariate observations [C]//5th Berkeley Symposium on Mathematical Statistics and Probability, 1967: 281-297.
[7] Bezdek J C, Ehrlich R, Full W. FCM: the fuzzy C-means clustering algorithm [J]. Computers & Geosciences, 1984, 10(2/3): 191-203.
[8] Ahmed M N, Yamany S M, Mohamed N, et al. A modified fuzzy C-means algorithm for bias field estimation and segmentation of MRI data [J]. IEEE Transactions on Medical Imaging, 2002, 21(3): 193-199.
[9] Chen S C, Zhang D Q. Robust image segmentation using FCM with spatial constraints based on new kernel-induced distance measure [J]. IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics), 2004, 34(4): 1907-1916.
[10] Szilagyi L, Benyo Z, Szilagyi S M, et al. MR brain image segmentation using an enhanced fuzzy C-means algorithm [C]//25th Annual International Conference of the IEEE Engineering in Medicine and Biology Society, 2004: 724-726.
[11] Krinidis S, Chatzis V. A robust fuzzy local information C-means clustering algorithm [J]. IEEE Transactions on Image Processing, 2010, 19(5): 1328-1337.
[12] Zhang D Q, Chen S C. A novel kernelized fuzzy C-means algorithm with application in medical image segmentation [J]. Artificial Intelligence in Medicine, 2004, 32(1): 37-50.
[13] Wang Q S, Wang X P, Fang C, et al. Robust fuzzy C-means clustering algorithm with adaptive spatial & intensity constraint and membership linking for noise image segmentation [J]. Applied Soft Computing, 2020, 92: 106318.
[14] 覃小素, 黄成泉, 陈阳, 等. 基于非局部空间约束的可靠性核FCM算法的图像分割[J]. 国外电子测量技术, 2023, 42(12): 31-38. Qin X S, Huang C Q, Chen Y, et al. Image segmentation based on reliability kernel FCM algorithm with non-local spatial constraints [J]. Foreign Electronic Measurement Technology, 2023, 42(12): 31-38. (in Chinese)
[15] 张冬冬, 王静. 基于空间模糊C均值算法的MRI图像分割[J]. 自动化技术与应用, 2024, 43(6): 15-18, 59. Zhang D D, Wang J. MRI image segmentation based on spatial fuzzy C-means algorithm [J]. Techniques of Automation and Applications, 2024, 43(6): 15-18, 59. (in Chinese)
[16] Haralick R M, Shanmugam K, Dinstein I. Textural features for image classification [J]. IEEE Transactions on Systems, Man, and Cybernetics, 1973, SMC-3(6): 610-621.
[17] 王丽霞, 史正涛, 喜文飞, 等. 基于灰度共生矩阵的基岩滑坡纹理特征提取分析研究[J]. 城市勘测, 2023(2): 187-192. Wang L X, Shi Z T, Xi W F, et al. Research on extraction of bedrock landslide texture feature based on gray co-occurrence matrix [J]. Urban Geotechnical Investigation & Surveying, 2023(2): 187-192. (in Chinese)
[18] 张愉玲, 邢会林, 李三忠, 等. 基于蚁群和Canny边缘检测算子混合算法的二维岩石图像裂隙特征提取与修复研究[J]. 大地构造与成矿学, 2021, 45(1): 242-251. Zhang Y L, Xing H L, Li S Z, et al. Fracture extraction and repair of 2D rock image based on hybrid algorithm of ant colony and canny edge detection operator [J]. Geotectonica et Metallogenia, 2021, 45(1): 242-251. (in Chinese)
[19] 范浩祥, 张小凤. 图像模糊聚类分割初始聚类中心优化算法研究[J]. 计算机仿真, 2022, 39(12): 378-382, 501. Fan H X, Zhang X F. Research on optimization algorithm of initial clustering center for image segmentation based on fuzzy clustering [J]. Computer Simulation, 2022, 39(12): 378-382, 501. (in Chinese)
[20] Ketcham R, Collbert M, Zhou J, et al. Fracture in granite [EB/OL]. [2025-04-30]. https://www.doi.org/10.17612/P7QX1X.
[21] Jin R, Weng G R. A robust active contour model driven by fuzzy C-means energy for fast image segmentation [J]. Digital Signal Processing, 2019, 90: 100-109.
[22] Polo M. Chest CT segmentation [EB/OL]. [2025-04-30]. https://www.kaggle.com/ datasets/polomarco/chest-ct-segmentation.
文章导航

/