{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T01:21:38Z","timestamp":1760059298415,"version":"build-2065373602"},"reference-count":49,"publisher":"MDPI AG","issue":"6","license":[{"start":{"date-parts":[[2025,6,5]],"date-time":"2025-06-05T00:00:00Z","timestamp":1749081600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"PRIN PNRR RESEARCH PROJECTS OF RELEVANT NATIONAL INTEREST\u20142022 Call for proposals: \u201clow coSt tools and machIne learniNg for prEdiction of heRitaGe wood\u2019s mechanical decay\u2014SINERGY\u201d","award":["P20224YMW9"],"award-info":[{"award-number":["P20224YMW9"]}]},{"name":"PI. Rosa De Finis, University of Salento, co-PI Sara Gonizzi Barsanti, University of Campania Luigi Vanvitelli","award":["P20224YMW9"],"award-info":[{"award-number":["P20224YMW9"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Algorithms"],"abstract":"<jats:p>To assess the condition of cultural heritage assets for conservation, reality-based 3D models can be analyzed using FEA (finite element analysis) software, yielding valuable insights into their structural integrity. Three-dimensional point clouds obtained through photogrammetric and laser scanning techniques can be transformed into volumetric data suitable for FEA by utilizing voxels. When directly using the point cloud data in this process, it is crucial to employ the highest level of accuracy. The fidelity of r point clouds can be compromised by various factors, including uncooperative materials or surfaces, poor lighting conditions, reflections, intricate geometries, and limitations in the precision of the instruments. This data not only skews the inherent structure of the point cloud but also introduces extraneous information. Hence, the geometric accuracy of the resulting model may be diminished, ultimately impacting the reliability of any analyses conducted upon it. The removal of noise from point clouds, a crucial aspect of 3D data processing, known as point cloud denoising, is gaining significant attention due to its ability to reveal the true underlying point cloud structure. This paper focuses on evaluating the geometric precision of the voxelization process, which transforms denoised 3D point clouds into volumetric models suitable for structural analyses.<\/jats:p>","DOI":"10.3390\/a18060349","type":"journal-article","created":{"date-parts":[[2025,6,5]],"date-time":"2025-06-05T08:34:32Z","timestamp":1749112472000},"page":"349","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Testing the Effectiveness of Voxels for Structural Analysis"],"prefix":"10.3390","volume":"18","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-7650-1616","authenticated-orcid":false,"given":"Sara","family":"Gonizzi Barsanti","sequence":"first","affiliation":[{"name":"Department of Engineering, Universit\u00e0 degli Studi della Campania Luigi Vanvitelli, 80138 Napoli, Italy"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0009-0008-8051-7275","authenticated-orcid":false,"given":"Ernesto","family":"Nappi","sequence":"additional","affiliation":[{"name":"Department of Engineering, Universit\u00e0 degli Studi della Campania Luigi Vanvitelli, 80138 Napoli, Italy"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2025,6,5]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"H\u00f6llig, K. (2003). Finite Element Methods with B-Splines, Society for Industrial and Applied Mathematic.","DOI":"10.1137\/1.9780898717532"},{"key":"ref_2","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_3","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_4","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_5","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_6","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_7","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_8","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_9","doi-asserted-by":"crossref","first-page":"890","DOI":"10.1061\/(ASCE)0733-9445(2002)128:7(890)","article-title":"Evaluation of Simplified Models for Lateral Load Analysis of Unreinforced Masonry Buildings","volume":"128","author":"Kappos","year":"2002","journal-title":"ASCE J. Struct. Eng."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"1798","DOI":"10.1016\/j.istruc.2021.08.066","article-title":"Dynamic behavior of a masonry bell tower subjected to actions caused by bell swinging","volume":"34","author":"Mendes","year":"2021","journal-title":"Structures"},{"key":"ref_11","doi-asserted-by":"crossref","unstructured":"Kyratsis, P., Tzotzis, A., and Davim, J.P. (2023). A Comparative Study Between 2D and 3D Finite Element Methods in Machining. 3D FEA Simulations in Machining, Springer. SpringerBriefs in Applied Sciences and Technology.","DOI":"10.1007\/978-3-031-24038-6"},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"2165","DOI":"10.1016\/S0045-7949(01)00070-0","article-title":"Numerical modelling of stone-block monumental structures","volume":"79","author":"Pegon","year":"2001","journal-title":"Comput. Struct."},{"key":"ref_13","first-page":"585","article-title":"Seismic Assessment of Bell Towers of Mexican Colonial Churches","volume":"133\u2013134","author":"Meza","year":"2010","journal-title":"Adv. Mater. Res."},{"key":"ref_14","doi-asserted-by":"crossref","unstructured":"Deng, J., Shi, S., Li, P., Zhou, W., Zhang, Y., and Li, H. (2021, January 11\u201315). Voxel r-cnn: Towards high performance voxel-based 3d object detection. Proceedings of the AAAI Conference on Artificial Intelligence, Online.","DOI":"10.1609\/aaai.v35i2.16207"},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"191","DOI":"10.5194\/isprs-archives-XLI-B5-191-2016","article-title":"Automated Voxel Model from Point Clouds for Structural Analysis of Cultural Heritage","volume":"41","author":"Bitelli","year":"2016","journal-title":"Int. Arch. Photogramm. Remote Sens. Spatial Inf. Sci."},{"key":"ref_16","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_17","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_18","doi-asserted-by":"crossref","first-page":"459","DOI":"10.1016\/S0010-4485(99)00043-3","article-title":"Mesh free simulation of deforming domains","volume":"31","author":"Shapiro","year":"1999","journal-title":"CAD Comput. Aided Des."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"109","DOI":"10.1016\/j.culher.2017.05.002","article-title":"A complete methodology for the mechanical diagnosis of statue provided by innovative uses of 3D model. Application to the imperial marble statue of Alba-la-Romaine (France)","volume":"28","author":"Cherblanc","year":"2017","journal-title":"J. Cult. Herit."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"957","DOI":"10.1016\/j.finel.2011.03.001","article-title":"Finite element analysis in situ","volume":"47","author":"Freytag","year":"2011","journal-title":"Finite Elem. Anal. Des."},{"key":"ref_21","doi-asserted-by":"crossref","unstructured":"Oreni, D., Brumana, R., and Cuca, B. (2012, January 2\u20135). Towards a methodology for 3D content models: The reconstruction of ancient vaults for maintenance and structural behaviour in the logic of BIM management. Proceedings of the 18th International Conference on Virtual Systems and Multimedia, Milan, Italy.","DOI":"10.1109\/VSMM.2012.6365961"},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"71","DOI":"10.1016\/j.simpat.2015.06.004","article-title":"Cloud-to-BIM-to-FEM: Structural simulation with accurate historic BIM from laser scans","volume":"57","author":"Barazzetti","year":"2015","journal-title":"Simul. Model. Pract. Theory"},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"77:1","DOI":"10.1145\/1531326.1531383","article-title":"Mixed-integer quadrangulation","volume":"28","author":"Bommes","year":"2009","journal-title":"ACM Trans. Graph."},{"key":"ref_24","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"},{"key":"ref_25","unstructured":"Tomasi, C., and Manduchi, R. (1998, January 4\u20137). Bilateral filtering for gray and color images. Proceedings of the Sixth International Conference on Computer Vision, Bombay, India."},{"key":"ref_26","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_27","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_28","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_29","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. Tool Appl."},{"key":"ref_30","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_31","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_32","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":"276","author":"Xu","year":"2021","journal-title":"IEEE Trans. Vis. Comput. Graph."},{"key":"ref_33","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_34","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_35","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_36","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_37","doi-asserted-by":"crossref","unstructured":"Mahmoud, A., Hu, J.S., and Waslander, S.L. (2023, January 3\u20137). Dense voxel fusion for 3D object detection. Proceedings of the IEEE\/CVF Winter Conference on Applications of Computer Vision, Waikoloa, HI, USA.","DOI":"10.1109\/WACV56688.2023.00073"},{"key":"ref_38","doi-asserted-by":"crossref","unstructured":"Shrout, O., Ben-Shabat, Y., and Tal, A. (2023, January 18\u201322). GraVoS: Voxel Selection for 3D Point-Cloud Detection. Proceedings of the IEEE\/CVF Conference on Computer Vision and Pattern Recognition, Vancouver, BC, Canada.","DOI":"10.1109\/CVPR52729.2023.02077"},{"key":"ref_39","doi-asserted-by":"crossref","unstructured":"He, C., Zeng, H., Huang, J., Hua, X.S., and Zhang, L. (2020, January 14\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_40","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_41","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_42","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_43","doi-asserted-by":"crossref","first-page":"300060520982708","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_44","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_45","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_46","doi-asserted-by":"crossref","first-page":"1356","DOI":"10.1016\/j.istruc.2022.08.042","article-title":"A case study on the restoration of a three-story historical structure based on field tests, laboratory tests and finite element analyses","volume":"44","author":"Cakir","year":"2022","journal-title":"Structures"},{"key":"ref_47","unstructured":"Takenouchi, K. (2025). A Study of Denoising Algorithm on Point Clouds: Geometrical Effectiveness in Cultural Heritage Analysis. ICGG 2024, Proceedings of the 21st International Conference on Geometry and Graphics. ICGG 2024. Lecture Notes on Data Engineering and Communications Technologies, Springer."},{"key":"ref_48","unstructured":"Baert, J. (2025, February 06). Cuda Voxelizer: A Gpu-Accelerated Mesh Voxelizer. Available online: https:\/\/github.com\/Forceflow\/cuda_voxelizer."},{"key":"ref_49","unstructured":"Zhou, Q.Y., Park, J., and Koltun, V. (2018). Open3D: A modern library for 3D data processing. arXiv."}],"container-title":["Algorithms"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1999-4893\/18\/6\/349\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,9]],"date-time":"2025-10-09T17:47:06Z","timestamp":1760032026000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1999-4893\/18\/6\/349"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,6,5]]},"references-count":49,"journal-issue":{"issue":"6","published-online":{"date-parts":[[2025,6]]}},"alternative-id":["a18060349"],"URL":"https:\/\/doi.org\/10.3390\/a18060349","relation":{},"ISSN":["1999-4893"],"issn-type":[{"type":"electronic","value":"1999-4893"}],"subject":[],"published":{"date-parts":[[2025,6,5]]}}}