{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,10]],"date-time":"2026-07-10T16:21:56Z","timestamp":1783700516277,"version":"3.55.0"},"reference-count":37,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2022,1,13]],"date-time":"2022-01-13T00:00:00Z","timestamp":1642032000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100002858","name":"China Postdoctoral Science Foundation","doi-asserted-by":"publisher","award":["2021M701713"],"award-info":[{"award-number":["2021M701713"]}],"id":[{"id":"10.13039\/501100002858","id-type":"DOI","asserted-by":"publisher"}]},{"name":"the Central University Special Funding for Basic Scientific Research","award":["30918012201"],"award-info":[{"award-number":["30918012201"]}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["51709147"],"award-info":[{"award-number":["51709147"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Remote Sensing"],"abstract":"<jats:p>This paper proposes a single-stage adaptive multi-scale noise filtering algorithm for point clouds, based on feature information, which aims to mitigate the fact that the current laser point cloud noise filtering algorithm has difficulty quickly completing the single-stage adaptive filtering of multi-scale noise. The feature information from each point of the point cloud is obtained based on the efficient k-dimensional (k-d) tree data structure and amended normal vector estimation methods, and the adaptive threshold is used to divide the point cloud into large-scale noise, a feature-rich region, and a flat region to reduce the computational time. The large-scale noise is removed directly, the feature-rich and flat regions are filtered via improved bilateral filtering algorithm and weighted average filtering algorithm based on grey relational analysis, respectively. Simulation results show that the proposed algorithm performs better than the state-of-art comparison algorithms. It was, thus, verified that the algorithm proposed in this paper can quickly and adaptively (i) filter out large-scale noise, (ii) smooth small-scale noise, and (iii) effectively maintain the geometric features of the point cloud. The developed algorithm provides research thought for filtering pre-processing methods applicable in 3D measurements, remote sensing, and target recognition based on point clouds.<\/jats:p>","DOI":"10.3390\/rs14020367","type":"journal-article","created":{"date-parts":[[2022,1,14]],"date-time":"2022-01-14T03:14:03Z","timestamp":1642130043000},"page":"367","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":42,"title":["Single-Stage Adaptive Multi-Scale Point Cloud Noise Filtering Algorithm Based on Feature Information"],"prefix":"10.3390","volume":"14","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-8902-9357","authenticated-orcid":false,"given":"Zhen","family":"Zheng","sequence":"first","affiliation":[{"name":"ZNDY of Ministerial Key Laboratory, Nanjing University of Science and Technology, Nanjing 210094, China"},{"name":"School of Mechanical Engineering, Nanjing University of Science and Technology, Nanjing 210094, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Bingting","family":"Zha","sequence":"additional","affiliation":[{"name":"ZNDY of Ministerial Key Laboratory, Nanjing University of Science and Technology, Nanjing 210094, China"},{"name":"School of Mechanical Engineering, Nanjing University of Science and Technology, Nanjing 210094, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yu","family":"Zhou","sequence":"additional","affiliation":[{"name":"ZNDY of Ministerial Key Laboratory, Nanjing University of Science and Technology, Nanjing 210094, China"},{"name":"School of Mechanical Engineering, Nanjing University of Science and Technology, Nanjing 210094, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0009-0006-0059-6926","authenticated-orcid":false,"given":"Jinbo","family":"Huang","sequence":"additional","affiliation":[{"name":"ZNDY of Ministerial Key Laboratory, Nanjing University of Science and Technology, Nanjing 210094, China"},{"name":"School of Mechanical Engineering, Nanjing University of Science and Technology, Nanjing 210094, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Youshi","family":"Xuchen","sequence":"additional","affiliation":[{"name":"ZNDY of Ministerial Key Laboratory, Nanjing University of Science and Technology, Nanjing 210094, China"},{"name":"School of Mechanical Engineering, Nanjing University of Science and Technology, Nanjing 210094, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"He","family":"Zhang","sequence":"additional","affiliation":[{"name":"ZNDY of Ministerial Key Laboratory, Nanjing University of Science and Technology, Nanjing 210094, China"},{"name":"School of Mechanical Engineering, Nanjing University of Science and Technology, Nanjing 210094, China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2022,1,13]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Zhang, W., Qi, J., Wan, P., Wang, H., Xie, D., Wang, X., and Yan, G. (2016). An Easy-to-Use Airborne LiDAR Data Filtering Method Based on Cloth Simulation. Remote Sens., 8.","DOI":"10.3390\/rs8060501"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"3255","DOI":"10.1109\/TVCG.2019.2920817","article-title":"Multi-Patch Collaborative Point Cloud Denoising via Low-Rank Recovery with Graph Constraint","volume":"26","author":"Chen","year":"2020","journal-title":"IEEE Trans. Vis. Comput. Graph."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"63","DOI":"10.1016\/j.optlastec.2015.01.011","article-title":"Automatic detection of zebra crossings from mobile LiDAR data","volume":"70","author":"Riveiro","year":"2015","journal-title":"Opt. Laser Technol."},{"key":"ref_4","doi-asserted-by":"crossref","unstructured":"Leal, E., Sanchez-Torres, G., and Branch, J.W. (2020). Sparse Regularization-Based Approach for Point Cloud Denoising and Sharp Features Enhancement. Sensors, 20.","DOI":"10.3390\/s20113206"},{"key":"ref_5","doi-asserted-by":"crossref","unstructured":"Hu, C., Pan, Z., and Li, P. (2019). A 3D Point Cloud Filtering Method for Leaves Based on Manifold Distance and Normal Estimation. Remote Sens., 11.","DOI":"10.3390\/rs11020198"},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"6869","DOI":"10.1364\/AO.36.006869","article-title":"Simulation of error in optical radar range measurements","volume":"36","author":"Der","year":"1997","journal-title":"Appl. Opt."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"21149","DOI":"10.1109\/ACCESS.2021.3054171","article-title":"Joint Geometry and Color Point Cloud Denoising Based on Graph Wavelets","volume":"9","author":"Irfan","year":"2021","journal-title":"IEEE Access"},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"105921","DOI":"10.1016\/j.optlaseng.2019.105921","article-title":"Non-iterative denoising algorithm based on a dual threshold for a 3D point cloud","volume":"126","author":"Zhou","year":"2020","journal-title":"Opt. Lasers Eng."},{"key":"ref_9","first-page":"251","article-title":"Point Cloud Denoising and Simplification Algorithm Based on Method Library","volume":"55","author":"Li","year":"2018","journal-title":"Laser Optoelectron. Prog."},{"key":"ref_10","first-page":"2329","article-title":"Algorithm for RGBD Point Cloud Denoising and Simplification Based on K-mean Clustering","volume":"28","author":"Su","year":"2016","journal-title":"J. Syst. Simul."},{"key":"ref_11","first-page":"370","article-title":"Large-Scale Scattered Point-Cloud Denoising Based on VG-DBSCAN Algorithm","volume":"38","author":"Zhao","year":"2018","journal-title":"Acta Opt. Sin."},{"key":"ref_12","first-page":"022011","article-title":"A Research on MBES data classification denoising algorithm based on Octree index","volume":"Volume 237","author":"Li","year":"2019","journal-title":"IOP Conference Series: Earth and Environmental Science"},{"key":"ref_13","doi-asserted-by":"crossref","unstructured":"Fan, L., and Cai, Y. (2021). An Efficient Filtering Approach for Removing Outdoor Point Cloud Data of Manhattan-World Buildings. Remote Sens., 13.","DOI":"10.3390\/rs13193796"},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"950","DOI":"10.1145\/882262.882368","article-title":"Bilateral Mesh Denoising","volume":"22","author":"Fleishman","year":"2003","journal-title":"ACM Trans. Graph."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"1521","DOI":"10.1109\/TVCG.2010.264","article-title":"Bilateral Normal Filtering for Mesh Denoising","volume":"17","author":"Zheng","year":"2011","journal-title":"IEEE Trans. Vis. Comput. Graph."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"925","DOI":"10.1109\/TVCG.2007.1065","article-title":"Fast and Effective Feature-Preserving Mesh Denoising","volume":"13","author":"Sun","year":"2007","journal-title":"IEEE Trans. Vis. Comput. Graph."},{"key":"ref_17","first-page":"1","article-title":"Mesh denoising via cascaded normal regression","volume":"35","author":"Wang","year":"2016","journal-title":"ACM Trans. Graph."},{"key":"ref_18","doi-asserted-by":"crossref","unstructured":"Duan, C., Chen, S., and Kovacevic, J. (2019, January 12\u201317). 3D Point Cloud Denoising via Deep Neural Network Based Local Surface Estimation. Proceedings of the 44th IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), Brighton, UK.","DOI":"10.1109\/ICASSP.2019.8682812"},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"3474","DOI":"10.1109\/TIP.2019.2961429","article-title":"3D Point Cloud Denoising Using Graph Laplacian Regularization of a Low Dimensional Manifold Model","volume":"29","author":"Zeng","year":"2020","journal-title":"IEEE Trans. Image Process"},{"key":"ref_20","first-page":"278","article-title":"Denoising of scattered point cloud data based on normal vector distance classification","volume":"50","author":"Wang","year":"2020","journal-title":"J. Jilin Univ., Eng. Technol. Ed."},{"key":"ref_21","first-page":"188","article-title":"Noise classification denoising algorithm for point cloud model","volume":"52","author":"Li","year":"2016","journal-title":"Comput. Eng. Appl."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"41","DOI":"10.1051\/matecconf\/201713900041","article-title":"An efficient 3D point cloud data denoising algorithm for ship block visual measurement","volume":"139","author":"Liu","year":"2017","journal-title":"MATEC Web of Conferences."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"1618","DOI":"10.37188\/OPE.20202807.1618","article-title":"Hierarchical point cloud denoising algorithm","volume":"28","author":"Zhao","year":"2020","journal-title":"Opt. Precis. Eng."},{"key":"ref_24","first-page":"8","article-title":"Grey relation Entropy Method of Grey Reletion Analysis","volume":"8","author":"Zhang","year":"1996","journal-title":"Syst. Eng. Theory Pract."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"92943","DOI":"10.1109\/ACCESS.2019.2927655","article-title":"Adaptive Edge Detection Algorithm Based on Grey Entropy Theory and Textural Features","volume":"7","author":"Zheng","year":"2019","journal-title":"IEEE Access"},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"1465","DOI":"10.3788\/OPE.20162406.1465","article-title":"Denoising of three-dimensional point data based on classification of feature information","volume":"24","author":"Wu","year":"2016","journal-title":"Opt. Precis. Eng."},{"key":"ref_27","first-page":"336","article-title":"Point Cloud Simplification Based on the Information Entropy of Normal Vector Angle","volume":"42","author":"Chen","year":"2015","journal-title":"Chin. J. Lasers."},{"key":"ref_28","first-page":"171","article-title":"Pose estimation algorithms for lidar scene based on point normal vector","volume":"49","author":"Zhang","year":"2020","journal-title":"Infrared Laser Eng."},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"62","DOI":"10.1109\/TSMC.1979.4310076","article-title":"A threshold selection method from gray-level histogram","volume":"9","author":"Otsu","year":"1979","journal-title":"IEEE Trans. Syst. Man Cybern."},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"102165","DOI":"10.1109\/ACCESS.2020.2999071","article-title":"Adaptive Edge Detection Algorithm Based on Improved Grey Prediction Model","volume":"8","author":"Zheng","year":"2020","journal-title":"IEEE Access"},{"key":"ref_31","first-page":"103","article-title":"Grey information space","volume":"1","author":"Deng","year":"1985","journal-title":"J. Grey Syst."},{"key":"ref_32","first-page":"147","article-title":"Target Recognition Method of Laser Line Scanning Imaging Fuze Based on DHGF Algorithm","volume":"45","author":"Zheng","year":"2018","journal-title":"Chin. J. Lasers."},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"2","DOI":"10.1108\/GS-09-2015-0054","article-title":"New progress of Grey System Theory in the new millennium","volume":"6","author":"Liu","year":"2016","journal-title":"Grey Syst. Theory Appl."},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"1291","DOI":"10.1109\/TIP.2012.2222903","article-title":"Acceleration of the shiftable O(1) algorithm for bilateral filtering and nonlocal means","volume":"22","author":"Chaudhury","year":"2013","journal-title":"IEEE Trans. Image Process."},{"key":"ref_35","doi-asserted-by":"crossref","first-page":"493","DOI":"10.1111\/j.1467-8659.2009.01388.x","article-title":"Feature Preserving Point Set Surfaces based on Non-Linear Kernel Regression","volume":"28","author":"Guennebaud","year":"2009","journal-title":"Comput. Graph. Forum"},{"key":"ref_36","first-page":"639","article-title":"Study on Scatter Point Cloud Denoising Technology Based on Self-adaptive Optimal Neighborhood","volume":"21","author":"Liang","year":"2010","journal-title":"China Mech. Eng."},{"key":"ref_37","doi-asserted-by":"crossref","first-page":"2304","DOI":"10.1109\/TVCG.2018.2828818","article-title":"Robust and High Fidelity Mesh Denoising","volume":"25","author":"Yadav","year":"2019","journal-title":"IEEE Trans. Vis. Comput. 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