{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,20]],"date-time":"2026-06-20T10:01:19Z","timestamp":1781949679623,"version":"3.54.5"},"reference-count":43,"publisher":"MDPI AG","issue":"14","license":[{"start":{"date-parts":[[2024,7,18]],"date-time":"2024-07-18T00:00:00Z","timestamp":1721260800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Remote Sensing"],"abstract":"<jats:p>Proper documentation is fundamental to providing structural health monitoring, damage identification and failure assessment for Cultural Heritage (CH). Three-dimensional models from photogrammetric and laser scanning surveys usually provide 3D point clouds that can be converted into meshes. The point clouds usually contain noise data due to different causes: non-cooperative material or surfaces, bad lighting, complex geometry and low accuracy of the instruments utilized. Point cloud denoising has become one of the hot topics of 3D geometric data processing, removing these noise data to recover the ground-truth point cloud and adding smoothing to the ideal surface. These cleaned point clouds can be converted in volumes with different algorithms, suitable for different uses, mainly for structural analysis. This paper aimed to analyse the geometric accuracy of algorithms available for the conversion of 3D point clouds into volumetric models that can be used for structural analyses through the FEA process. The process is evaluated, highlighting problems and difficulties that lie in poor reconstruction results of volumes from denoised point clouds due to the geometric complexity of the objects.<\/jats:p>","DOI":"10.3390\/rs16142632","type":"journal-article","created":{"date-parts":[[2024,7,18]],"date-time":"2024-07-18T10:39:26Z","timestamp":1721299166000},"page":"2632","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":18,"title":["Evaluation of Denoising and Voxelization Algorithms on 3D Point Clouds"],"prefix":"10.3390","volume":"16","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-7650-1616","authenticated-orcid":false,"given":"Sara","family":"Gonizzi Barsanti","sequence":"first","affiliation":[{"name":"Engineering Department, University of Campania Luigi Vanvitelli, Via Roma 9, 81031 Aversa, Italy"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2540-2570","authenticated-orcid":false,"given":"Marco Raoul","family":"Marini","sequence":"additional","affiliation":[{"name":"Computer Science Department, Sapienza University of Rome, Via Salaria 113, 00198 Roma, Italy"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0514-3604","authenticated-orcid":false,"given":"Saverio Giulio","family":"Malatesta","sequence":"additional","affiliation":[{"name":"Interdepartmental Research Center DigiLab, Sapienza University of Rome, Via dei Volsci 122, 00185 Roma, Italy"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8177-8441","authenticated-orcid":false,"given":"Adriana","family":"Rossi","sequence":"additional","affiliation":[{"name":"Engineering Department, University of Campania Luigi Vanvitelli, Via Roma 9, 81031 Aversa, Italy"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2024,7,18]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"H\u00f6llig, K. (2003). Finite Element Methods with B-Splines, Society for Industrial and Applied Mathematics.","DOI":"10.1137\/1.9780898717532"},{"key":"ref_2","doi-asserted-by":"crossref","unstructured":"Alfio, V.S., Costantino, D., Pepe, M., and Restuccia Garofalo, A. (2022). A Geomatics Approach in Scan to FEM Process Applied to Cultural Heritage Structure: The Case Study of the \u201cColossus of Barletta\u201d. Remote Sens., 14.","DOI":"10.3390\/rs14030664"},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"332","DOI":"10.1061\/(ASCE)AE.1943-5568.0000086","article-title":"Roman Concrete Vaulting in the Great Hall of Trajan\u2019s Markets: A Structural Evaluation","volume":"18","author":"Brune","year":"2012","journal-title":"J. Archit. Eng."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"18360","DOI":"10.3390\/s150818360","article-title":"From Laser Scanning to Finite Element Analysis of Complex Buildings by Using a Semi-Automatic Procedure","volume":"15","author":"Castellazzi","year":"2015","journal-title":"Sensors"},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"21005","DOI":"10.1115\/1.3593416","article-title":"Geometric Issues in Computer Aided Design\/Computer Aided Engineering Integration","volume":"11","author":"Shapiro","year":"2011","journal-title":"J. Comput. Inf. Sci. Eng."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.culher.2023.02.004","article-title":"Numerical modelling-based damage diagnostics in cultural heritage structures","volume":"61","author":"Castellazzi","year":"2023","journal-title":"J. Cult. Herit."},{"key":"ref_7","unstructured":"Rusu, R.B., Blodow, N., Marton, Z., Soos, A., and Beetz, M. (2007). Towards 3D object maps for autonomous household robots. International Conference on Intelligent Robots and Systems, IEEE."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"1765","DOI":"10.1080\/15583058.2020.1723736","article-title":"Lessons from Structural Analysis of a Great Gothic Cathedral: Canterbury Cathedral as a Case Study","volume":"15","author":"Karanikoloudis","year":"2021","journal-title":"Int. J. Archit. Herit."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"357679","DOI":"10.1155\/2014\/357679","article-title":"Value and vulnerability assessment of a historic tomb for conservation","volume":"2014","author":"Erkal","year":"2014","journal-title":"Sci. World J."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"380","DOI":"10.1016\/j.autcon.2010.11.008","article-title":"Photogrammetric 3D modelling and mechanical analysis of masonry arches: An approach based on a discontinuous model of voussoirs","volume":"20","author":"Riveiro","year":"2011","journal-title":"Autom. Constr."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"489","DOI":"10.1080\/15583058.2011.588987","article-title":"Seismic assessment of a medieval masonry tower in northern Italy by limit, non-linear static and full dynamic analyses","volume":"6","author":"Milani","year":"2012","journal-title":"Int. J. Archit. Herit."},{"key":"ref_12","first-page":"12","article-title":"3D solid model updating of complex ancient monumental structures based on local geometrical meshes","volume":"2","author":"Zvietcovich","year":"2014","journal-title":"Digit. Appl. Archaeol. Cult. Herit."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"293","DOI":"10.5194\/isprs-archives-XLII-2-W11-293-2019","article-title":"Hbim level of detail-geometry-accuracy and survey analysis for architectural preservation","volume":"42","author":"Brumana","year":"2019","journal-title":"Int. Arch. Photogramm. Remote Sens. Spat. Inf. Sci."},{"key":"ref_14","first-page":"331","article-title":"A geometric processing workflow for transforming reality-based 3D models in volumetric meshes suitable for FEA","volume":"42","author":"Guidi","year":"2017","journal-title":"Int. Arch. Photogramm. Remote Sens. Spat. Inf. Sci."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"107677","DOI":"10.1016\/j.compeleceng.2021.107677","article-title":"Semantic-aware 3D-voxel CenterNet for point cloud object detection","volume":"98","author":"Sun","year":"2022","journal-title":"Comput. Electr. Eng."},{"key":"ref_16","doi-asserted-by":"crossref","unstructured":"He, C., Li, R., Li, S., and Zhang, L. (2022, January 18\u201324). Voxel set transformer: A set-to-set approach to 3D object detection from point clouds. Proceedings of the IEEE\/CVF Conference on Computer Vision and Pattern Recognition, New Orleans, LA, USA.","DOI":"10.1109\/CVPR52688.2022.00823"},{"key":"ref_17","doi-asserted-by":"crossref","unstructured":"Mahmoud, A., Hu, J.S., and Waslander, S.L. (2023, January 17\u201324). Dense voxel fusion for 3D object detection. Proceedings of the IEEE\/CVF Winter Conference on Applications of Computer Vision and Pattern Recognition, Vancouver, BC, Canada.","DOI":"10.1109\/WACV56688.2023.00073"},{"key":"ref_18","doi-asserted-by":"crossref","unstructured":"Shrout, O., Ben-Shabat, Y., and Tal, A. (2023, January 17\u201324). GraVoS: Voxel Selection for 3D Point-Cloud Detection. Proceedings of the IEEE\/CVF Winter Conference on Applications of Computer Vision and Pattern Recognition, Vancouver, BC, Canada.","DOI":"10.1109\/CVPR52729.2023.02077"},{"key":"ref_19","first-page":"1201","article-title":"Voxel r-cnn: Towards high performance voxel-based 3D object detection","volume":"35","author":"Deng","year":"2021","journal-title":"Proc. AAAI Conf. Artif. Intell."},{"key":"ref_20","doi-asserted-by":"crossref","unstructured":"He, C., Zeng, H., Huang, J., Hua, X.S., and Zhang, L. (2020, January 13\u201319). Structure Aware Single-Stage 3D Object Detection from Point Cloud. Proceedings of the IEEE\/CVF Conference on Computer Vision and Pattern Recognition (CVPR), Seattle, WA, USA.","DOI":"10.1109\/CVPR42600.2020.01189"},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"1815","DOI":"10.1109\/TMM.2021.3073265","article-title":"Voxel Structure-Based Mesh Reconstruction From a 3D Point Cloud","volume":"24","author":"Lv","year":"2022","journal-title":"IEEE Trans. Multimed."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"100263","DOI":"10.1016\/j.bonr.2020.100263","article-title":"Nonlinear voxel-based finite element model for strength assessment of healthy and metastatic proximal femurs","volume":"12","author":"Sas","year":"2020","journal-title":"Bone Rep."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"193","DOI":"10.1016\/S0895-6111(99)00015-4","article-title":"Interactive voxel surface rendering in medical applications","volume":"23","author":"Lee","year":"1999","journal-title":"Comput. Med. Imaging Graph."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"0300060520982708","DOI":"10.1177\/0300060520982708","article-title":"A comparison of voxel- and surface-based cone-beam computed tomography mandibular superimposition in adult orthodontic patients","volume":"49","author":"Han","year":"2021","journal-title":"J. Int. Med. Res."},{"key":"ref_25","first-page":"41","article-title":"Advantages of Using Both Voxel- and Surface-based Morphometry in Cortical Morphology Analysis: A Review of Various Applications, Magnetic Resonance","volume":"21","author":"Goto","year":"2022","journal-title":"Med. Sci."},{"key":"ref_26","doi-asserted-by":"crossref","unstructured":"Babich, M., and Kublanov, V. (2019, January 25\u201326). Voxel Based Finite Element Method Modelling Framework for Electrical Stimulation Applications Using Open-Source Software. Proceedings of the Ural Symposium on Biomedical Engineering, Radioelectronics and Information Technology (USBEREIT), Yekaterinburg, Russia.","DOI":"10.1109\/USBEREIT.2019.8736569"},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"182","DOI":"10.1016\/j.proeng.2017.10.457","article-title":"Voxel and Finite Element Analysis Models for Ballistic Impact on Ceramic-polymer Composite Panels","volume":"206","author":"Sapozhnikov","year":"2017","journal-title":"Procedia Eng."},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"23","DOI":"10.1007\/s10064-021-02489-8","article-title":"Multiple methods for voxel modeling and finite element analysis for man-made caves in soft rock of Gaziantep","volume":"81","year":"2022","journal-title":"Bull. Eng. Geol. Environ."},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"543","DOI":"10.1109\/TMAG.2011.2176322","article-title":"Voxel Based Finite Element Method Using Homogenization","volume":"48","author":"Watanabe","year":"2012","journal-title":"IEEE Trans. Magn."},{"key":"ref_30","unstructured":"Baert, J. (2024, February 02). Cuda Voxelizer: A Gpu-Accelerated Mesh Voxelizer. Available online: https:\/\/github.com\/Forceflow\/cuda_voxelizer."},{"key":"ref_31","unstructured":"Zhou, Q.Y., Park, J., and Koltun, V. (2018). Open3D: A modern library for 3D data processing. arXiv."},{"key":"ref_32","unstructured":"Tomasi, C., and Manduchi, R. (1998, January 7). Bilateral filtering for gray and color images. Proceedings of the IEEE Sixth International Conference on Computer Vision, Bombay, India."},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"523","DOI":"10.1007\/s00366-017-0556-4","article-title":"Denoising of point cloud data for computer-aided design, engineering, and manufacturing","volume":"34","author":"Chen","year":"2018","journal-title":"Eng. Comput."},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"278","DOI":"10.5201\/ipol.2017.179","article-title":"The bilateral filter for point clouds","volume":"7","author":"Digne","year":"2017","journal-title":"Image Process. Online"},{"key":"ref_35","doi-asserted-by":"crossref","first-page":"1397","DOI":"10.1109\/TPAMI.2012.213","article-title":"Guided image filtering","volume":"35","author":"He","year":"2013","journal-title":"IEEE Trans. Pattern Anal. Mach. Intell."},{"key":"ref_36","doi-asserted-by":"crossref","first-page":"17397","DOI":"10.1007\/s11042-017-5310-9","article-title":"Guided 3D point cloud filtering","volume":"77","author":"Han","year":"2018","journal-title":"Multimed. Tools Appl."},{"key":"ref_37","doi-asserted-by":"crossref","first-page":"103027","DOI":"10.1016\/j.jvcir.2021.103027","article-title":"Exploiting color for graph-based 3d point cloud denoising","volume":"75","author":"Irfan","year":"2021","journal-title":"J. Vis. Commun. Image Represent."},{"key":"ref_38","doi-asserted-by":"crossref","first-page":"4143","DOI":"10.1109\/TIP.2020.2969052","article-title":"Point cloud denoising via feature graph Laplacian regularization","volume":"29","author":"Dinesh","year":"2020","journal-title":"IEEE Trans. Image Process."},{"key":"ref_39","doi-asserted-by":"crossref","first-page":"2851","DOI":"10.1109\/TVCG.2019.2959761","article-title":"Anisotropic denoising of 3D point clouds by aggregation of multiple surface-adaptive estimates","volume":"27","author":"Xu","year":"2021","journal-title":"IEEE Trans. Vis. Comput. Graph."},{"key":"ref_40","doi-asserted-by":"crossref","first-page":"185","DOI":"10.1111\/cgf.13753","article-title":"Pointcleannet: Learning to denoise and remove outliers from dense point clouds","volume":"39","author":"Rakotosaona","year":"2021","journal-title":"Comput. Graph. Forum"},{"key":"ref_41","unstructured":"Shitong, L., and Hu, W. (2021, January 10\u201317). Score-based point cloud denoising. Proceedings of the IEEE\/CVF International Conference on Computer Vision, Montreal, QC, Canada."},{"key":"ref_42","doi-asserted-by":"crossref","first-page":"189:1","DOI":"10.1145\/2816795.2818078","article-title":"Instant field-aligned meshes","volume":"34","author":"Jakob","year":"2015","journal-title":"ACM Trans. Graph."},{"key":"ref_43","doi-asserted-by":"crossref","unstructured":"Gonizzi Barsanti, S., Guagliano, M., and Rossi, A. (2022). 3D Reality-Based Survey and Retopology for Structural Analysis of Cultural Heritage. Sensors, 22.","DOI":"10.3390\/s22249593"}],"container-title":["Remote Sensing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2072-4292\/16\/14\/2632\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T15:19:00Z","timestamp":1760109540000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2072-4292\/16\/14\/2632"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,7,18]]},"references-count":43,"journal-issue":{"issue":"14","published-online":{"date-parts":[[2024,7]]}},"alternative-id":["rs16142632"],"URL":"https:\/\/doi.org\/10.3390\/rs16142632","relation":{},"ISSN":["2072-4292"],"issn-type":[{"value":"2072-4292","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024,7,18]]}}}