Signal and Information Processing

Point Cloud Object Extraction Based on Gaussian Kernel Function and Exponential Function Clustering

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  • 1. School of Artificial Intelligence, Wuchang University of Technology, Wuhan 430223, Hubei, China;
    2. School of Safety Science and Emergency Management, Wuhan University of Technology, Wuhan 430070, Hubei, China;
    3. Chongqing Academy of Metrology and Quality Inspection, Chongqing 401121, China;
    4. ShanShui Surveying Mapping Institute of Anhui, Huaibei 235000, Anhui, China

Received date: 2020-09-23

  Online published: 2022-05-25

Abstract

In view of problems of repeatability of cluster center and disability of conducting point cloud clustering, a point cloud clustering method of clustering center homogenization combining Gaussian kernel and exponential function is proposed to optimize homogenization distribution of cluster centers and achieve the homogeneous clustering of point cloud. Firstly, local density is determined according to the Gaussian kernel function and density exponential function, and distance parameters are determined according to the size of local density. Then cluster centers are determined according to the product of the local density and distance parameters, and the proximity of the cluster centers is eliminated, so that the cluster centers are more evenly distributed in the entire data set. Finally, the distances between the data point and the cluster centers are used to determine the cluster attribution of each data, and the neighboring clusters are combined to achieve the extraction of the point cloud target. This algorithm is compared with the clustering function based on density peak (CFDP), K-means clustering algorithm, DBSCAN (density-based spatial clustering of applications with noise) algorithm, and the advantages of clustering algorithm in this paper are confirmed. Compared with the DPC algorithm and the deep learning method, the accuracy of objects point cloud extraction with different resolutions is 96.7%. The proposed method is prior than the other two methods in terms of computational efficiency and precision.

Cite this article

CHEN Xijiang, AN Qing, BAN Ya, WANG Dexin, LI Kun, LIU Haipeng . Point Cloud Object Extraction Based on Gaussian Kernel Function and Exponential Function Clustering[J]. Journal of Applied Sciences, 2022 , 40(3) : 411 -422 . DOI: 10.3969/j.issn.0255-8297.2022.03.005

References

[1] Jain A K, Murty M N, Flynn P J. Data clustering:a review[J]. ACM Computing Surveys, 1999, 31(3):264-323.
[2] Han J W. Data mining:concepts and techniques[M]. San Francisco:Morgan Kaufmann Publishers Inc., 2005.
[3] 贺一波,陈冉丽,吴侃,等.基于K-means聚类的点云精简方法[J].激光与光电子学进展, 2019, 56(9):96-99. He Y B, Chen R L, Wu K, et al. Point cloud simplification method based on K-means clustering[J]. Laser&Optoelectronics Progress, 2019, 56(9):96-99.(in Chinese)
[4] Park H S, Jun C H. A simple and fast algorithm for K-medoids clustering[J]. Expert Systems with Applications, 2009, 36(2):3336-3341.
[5] Ng R T, Han J. CLARANS:a method for clustering objects for spatial data mining[J]. IEEE Transactions on Knowledge&Data Engineering, 2002, 14(5):1003-1016.
[6] Zhang T, Ramakrishnan R, Livny M. BIRCH:an efficient data clustering method for very large databases[C]//Proceedings of ACM SIGMOD International Conference on Management of Data, 1996:103-114.
[7] 范小辉,许国良,李万林,等.基于深度图的三维激光雷达点云目标分割方法[J].中国激光, 2019, 46(7):292-299. Fan X H, Xu G L, Li W L, et al. Target segmentation method for three-dimensional LiDAR point cloud based on depth image[J]. Chinese Journal of Lasers, 2019, 46(7):292-299.(in Chinese)
[8] D'urso P, Massari R. Fuzzy clustering of mixed data[J]. Information Sciences, 2019, 505:513-534.
[9] 张帆.一种基于数据场改进的CLARA聚类算法[C]//2004计算机应用技术交流会议, 2004:265-267.
[10] 李玉鹏.基于分布式平台的聚类算法研究[D].哈尔滨:哈尔滨工程大学, 2014.[1] Jain A K, Murty M N, Flynn P J. Data clustering:a review[J]. ACM Computing Surveys, 1999, 31(3):264-323.
[2] Han J W. Data mining:concepts and techniques[M]. San Francisco:Morgan Kaufmann Publishers Inc., 2005.
[3] 贺一波,陈冉丽,吴侃,等.基于K-means聚类的点云精简方法[J].激光与光电子学进展, 2019, 56(9):96-99. He Y B, Chen R L, Wu K, et al. Point cloud simplification method based on K-means clustering[J]. Laser&Optoelectronics Progress, 2019, 56(9):96-99.(in Chinese)
[4] Park H S, Jun C H. A simple and fast algorithm for K-medoids clustering[J]. Expert Systems with Applications, 2009, 36(2):3336-3341.
[5] Ng R T, Han J. CLARANS:a method for clustering objects for spatial data mining[J]. IEEE Transactions on Knowledge&Data Engineering, 2002, 14(5):1003-1016.
[6] Zhang T, Ramakrishnan R, Livny M. BIRCH:an efficient data clustering method for very large databases[C]//Proceedings of ACM SIGMOD International Conference on Management of Data, 1996:103-114.
[7] 范小辉,许国良,李万林,等.基于深度图的三维激光雷达点云目标分割方法[J].中国激光, 2019, 46(7):292-299. Fan X H, Xu G L, Li W L, et al. Target segmentation method for three-dimensional LiDAR point cloud based on depth image[J]. Chinese Journal of Lasers, 2019, 46(7):292-299.(in Chinese)
[8] D'urso P, Massari R. Fuzzy clustering of mixed data[J]. Information Sciences, 2019, 505:513-534.
[9] 张帆.一种基于数据场改进的CLARA聚类算法[C]//2004计算机应用技术交流会议, 2004:265-267.
[10] 李玉鹏.基于分布式平台的聚类算法研究[D].哈尔滨:哈尔滨工程大学, 2014. 422应用科学学报第40卷
[11] Zheng Z, Gong M, Ma J, et al. Unsupervised evolutionary clustering algorithm for mixed type data[C]//Proceedings of IEEE Congress on Evolutionary Computation, 2010.
[12] 成卫青,卢艳红.一种基于最大最小距离和SSE的自适应聚类算法[J].南京邮电大学学报(自然科学版), 2015, 35(2):102-107. Cheng W Q, Lu Y H. Adaptive clustering algorithm based on maximum and minimum distance, and SSE[J]. Journal of Nanjing University of Posts and Telecommunications (Natural Science Edition), 2015, 35(2):102-107.(in Chinese)
[13] 胡伟.改进的层次K均值聚类算法[J].计算机工程与应用, 2013, 49(2):157-159. Hu W. Improved hierarchical K-means clustering algorithm[J]. Computer Engineering and Applications, 2013, 49(2):157-159.(in Chinese)
[14] 谢娟英,屈亚楠.密度峰值优化初始中心的K-medoids聚类算法[J].计算机科学与探索, 2016, 10(2):230-247. Xie J Y, Qu Y N. K-medoids clustering algorithms with optimized initial seeds by density peaks[J]. Journal of Frontiers of Computer Science and Technology, 2016, 10(2):230-247.(in Chinese)
[15] Zhang T, Ramakrishnan R, Livny M. BIRCH:an efficient data clustering method for very large databases[C]//Proceedings of ACM SIGMOD International Conference on Management of Data, 1996, 25:103-114.
[16] Guha S, Rastogi R, Shim K. Cure:an efficient clustering algorithm for large databases[J]. Information Systems, 2001, 26(1):35-58.
[17] Ester M, Kriegel H P, Sander J, et al. A density-based algorithm for discovering clusters in large spatial databases with noise[C]//Proceedings of the 2nd International Conference on Knowledge Discovery and Data Mining, 1996:226-231.
[18] Sander J, Ester M, Kriegel H P, et al. Density-based clustering in spatial databases:the algorithm GDBSCAN and its applications[J]. Data Mining and Knowledge Discovery, 1998, 2(2):169-194.
[19] Birant D, Kut A. ST-DBSCAN an algorithm for clustering spatial-temp oral data[J]. Data&Knowledge Engineering, 2007, 60(1):208-221.
[20] He Y, Tan H, Luo W, et al. MR-DBSCAN:an efficient parallel density-based clustering algorithm using mapreduce[C]//The 17th IEEE International Conference on Parallel and Distributed Systems (ICPADS), 2011:473-480.
[21] Ankerst M, Breunig M, Kriegel H P, et al. OPTICS:ordering points to identify the clustering structure[C]//Proceedings of 1999 ACM SIGMOD, 1999:49-60.
[22] Rodriguez A, Laio A. Clustering by fast search and find of density peaks[J]. Science, 2014, 344(6191):1492-1496.
[23] Chang H, Yeung D Y. Robust path-based spectral clustering[J]. Pattern Recognition, 2008, 41(1):191-203.
[24] Gionis A, Mannila H, Tsaparas P. Clustering aggregation[J]. ACM Transactions on Knowledge Discovery from Data (TKDD), 2007, 1(1):1-30.
[25] 陈西江,章光,花向红.于法向量夹角信息熵的点云简化算法[J].中国激光, 2015, 42(8):336-344. Chen X J, Zhang G, Hua X H. Point cloud simplification based on the information entropy of normal vector angle[J]. Chinese Journal of Lasers, 2015, 42(8):336-344.(in Chinese)
[26] Sun Y, Zhu Q M, Chen Z X. An iterative initial-points refinement algorithm for categorical data clustering[J]. Pattern Recognition, 2002, 23(7):875-884.
[27] Landrieu L, Boussaha M. Point cloud over segmentation with graph-structured deep metric learning[C]//2019 IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR), 2019:7432-7441.
[28] Hou J, Aihua Z, Naiming Q. Density peak clustering based on relative density relationship[J]. Pattern Recognition, 2020, 108(107554):1-16.
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