Abstract
Conservation of Cultural Heritage is a key topic and structural changes and damages can affect the structural behaviour of Cultural Heritage artefacts and buildings. Considering that the application of technologies can help in preserving, conserving and restoring ancient structures, it is mandatory to find the best pipeline to produce the correct analysis that can be provided with the use of Finite Element Analysis, a well-known technique used in modelling stress behaviour of objects and structures. The necessary workflow invests and involves design experts enabled to mathematically master the potential of models that pass from interpretation to design control. Following the principles of good experimental practice, the typical workflow involves the use of CAD 3D models made by Non-Uniform Rational B-splines (NURBS) surfaces, representing the ideal shape of the object to be simulated. Conversely, when applied to 3D models of Cultural Heritage, often altered by the time passed since their original creation, the representation with a schematic CAD model may introduce an excessive level of approximation leading to wrong simulation results. The focus of this work is to present a method based on retopology, hence on quadrangular element instead of triangles. Such process aims at generating the most accurate 3D representation of a real artefact from highly accurate 3D models derived from image-based and range—based techniques, maintaining the accuracy of the high—resolution polygonal models in the solid ones to be created for FEA. A proper pipeline can help to carry out the necessary interventions and perform virtual restoration prior to the physical one.
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Notes
- 1.
The survey was performed by U. Shafqat Malik—Politecnico di Milano—for a project done in cooperation among Uffizi Gallery, Indiana University—Prof. Frisher and Politecnico di Milano—Prof. Guidi.
- 2.
The process was tested on other 3D models obtained both with photogrammetry and projection pattern device and the retopology phase was the same and gave the same results.
References
Höllig, K. (2003). Finite element methods with b-splines. Society for Industrial and Applied Mathematics. Germany: Stuttgart. https://doi.org/10.1137/1.9780898717532
Remondino, F. (2011). Heritage recording and 3D modelling with photogrammetry and 3D scanning. Remote Sensing, 3, 1104–1138.
Remondino, F., & El-Hakim, S. (2006). Image-based 3D modelling: A review. Photogrammetric Record, 21(115), 269–291.
Vosselman, G., & Maas, H. G. Airborne and terrestrial laser scanning. CRC Press
Grussenmeyer, P., Landes, T., Voegle, T., & Rongle, K. (2008). Comparison methods of terrestrial laser scanning, photogrammetry and tacheometry data for recording of cultural heritage buildings. International Archives of Photogrammetry, Remote Sensing and Spatial Information Sciences, 37(B5), 213–218
Guidi, G., Remondino, F., Russo, M., Menna, F., Rizzi, A., & Ercoli, S. (2009). A multi-resolution methodology for the 3D modelling of large and complex archaeological areas. International Journal of Architectural Computing, 7(1), 39–55.
Fassi, F., Achille, C., & Fregonese, L. (2011). Surveying and modelling the main spire of Milan Cathedral using multiple data sources. The Photogrammetric Record, 26, 462–487.
Nex, F., & Rinaudo, F. (2011). LiDAR or photogrammetry? Integration is the answer. Italian Journal of Remote Sensing, 43(2), 107–121.
Gonizzi Barsanti, S., Remondino, F., & Visintini, D. (2013). 3D surveying and modelling of archaeological sites-some critical issues. ISPRS Annals of the Photogrammetry, Remote Sensing and Spatial Information Sciences, II-5/W1, 145–150. https://doi.org/10.5194/isprsannals-II-5-W1-145-2013
Brune, P., & Perucchio, R. (2012). Roman concrete vaulting in the Great Hall of Trajan’s markets: A structural evaluation. Journal of Architectural Engineering, 18, 332–340. https://doi.org/10.1061/(ASCE)AE.1943-5568.0000086
Erkal, A., & Ozhan, H. O. (2014). Value and vulnerability assessment of a historic tomb for conservation. The Scientific World Journal, Article ID 357679. https://doi.org/10.1155/2014/357679
Riveiro, B., Caamaño, J. C., Arias, P., & Sanz, E. (2011). Photogrammetric 3D modelling and mechanical analysis of masonry arches: An approach based on a discontinuous model of voussoirs. Automation in Construction, 20, 380–388. https://doi.org/10.1016/j.autcon.2010.11.008
Zvietcovich, F., Castaneda, B., & Perucchio, R. (2014). 3D solid model updating of complex ancient monumental structures based on local geometrical meshes. Digital Applications in Archaeology and Cultural Heritage, 2, 12–27. https://doi.org/10.1016/j.daach.2015.02.001
Guarnieri, A., Pirotti, F., Pontin, M., & Vettore, A. (2005). Combined 3D surveying techniques for structural analysis applications. International archives of photogrammetry, remote sensing and spatial information sciences, 36, 6.
Sadholz, A., Muir, C., & Perucchio, R. (2015) A 3D kinematic model for assessing the seismic capacity of the Frigidarium of the baths of Diocletian (pp 89–92)
Oliveira, D. V., Ramos, L. F., Lourenço, P. B., & Roque, J. C. A. (2005). Structural monitoring of the Monastery of Jerónimos. In International Conference on 250th Anniversary of the 1755 Lisbon earthquake (pp. 466–473), Lisboa, Portugal
Castellazzi, G., Altri, A. M. D., Bitelli, G., Selvaggi, I., & Lambertini, A. (2015). From laser scanning to finite element analysis of complex buildings by using a semi-automatic procedure. Sensors, 15, 18360–18380. https://doi.org/10.3390/s150818360
Bitelli, G., Castellazzi, G., D’Altri, A. M., De Miranda, S., Lambertini, A., & Selvaggi, I. (2016). Automated voxel model from point clouds for structural analysis of cultural heritage. The International Archives of the Photogrammetry, Remote Sensing and Spatial Information, XLI-B5, 191–197. https://doi.org/10.5194/isprs-archives-XLI-B5-191-2016
Bassier, M., Hadjidemetriou, G., Vergauwen, M., Van Roy, N., & Verstrynge, E.: Implementation of scan-to-BIM and FEM for the documentation and analysis of heritage timber roof structures. In: M. Ioannides, E. Fink, A. Moropoulou, M. Hagedorn-Saupe, A. Fresa, G. Liestøl, V. Rajcic, P. Grussenmeyer (Eds.), Digital heritage. Progress in cultural heritage: Documentation, Preservation, and Protection: 6th International Conference, EuroMed 2016 (pp. 79–90), Proceedings, Part I, Nicosia, Cyprus, October 31–November 5, 2016. Cham: Springer International Publishing (2016). https://doi.org/10.1007/978-3-319-48496-9_7
Bagnéris, M., Cherblanc, F., Bromblet, P., Gattet, E., Gügi, L., Nony, N., Mercurio, V., & Pamart, A. (2017) 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). Journal of Cultural Heritage. ISSN 1296-2074. https://doi.org/10.1016/j.culher.2017.05.002
Shapiro, V., & Tsukanov, I. (1999). Mesh free simulation of deforming domains. Computer-aided design (CAD), 31, 459–471. https://doi.org/10.1016/S0010-4485(99)00043-3
Freytag, M., Shapiro, V., & Tsukanov, I. (2011). Finite element analysis in situ. In Finite elements in analysis and design (Vol. 47, No. 9, pp. 957–972). ISSN 0168-874X. https://doi.org/10.1016/j.finel.2011.03.001
Shapiro, V., Tsukanov, I., & Grishin, A. (2011). Geometric issues in computer aided design/computer aided engineering integration. Journal of Computing and Information Science in Engineering, 11, 21005. https://doi.org/10.1115/1.3593416
Abbate, E., Invernizzi, S., & Spanò, A. (2020). HBIM parametric modelling from clouds to perform structural analyses based on finite elements: A case study on a parabolic concrete vault. Applied Geomatics. https://doi.org/10.1007/s12518-020-00341-4
Oreni, D., Brumana R., & Cuca, B. (2012). Towards a methodology for 3D content models: The reconstruction of ancient vaults for maintenance and structural behaviour in the logic of BIM management. In 2012 18th International Conference on Virtual Systems and Multimedia (pp. 475–482), Milan. https://doi.org/10.1109/VSMM.2012.6365961
Barazzetti, L., Banfi, F., Brumana, R., Gusmeroli, G., Previtali, M., & Schiantarelli, G. (2015). Cloud-to-BIM-to-FEM: Structural simulation with accurate historic BIM from laser scans. In Simulation modelling practice and theory (Vol. 57, pp. 71–87). ISSN 1569-190X. https://doi.org/10.1016/j.simpat.2015.06.004
Bommes, D., Zimmer, H., & Kobbelt. L. (2009). Mixed-integer quadrangulation. ACM Transactions on Graphics, 28(3), 77:1–77:10. https://doi.org/10.1145/1531326.1531383
Benzley, S. E., Perry, E., Merkley, K., & Clarck, B. (1995). A comparison of all hexagonal and all tetrahedral finite element meshes for elastic and elasto-plastic analysis. In Proceedings of 4th International Meshing Roundtable, Sandia National Laboratories (Vol. 1, pp. 179–191)
Corradi, R., Liberatore, A., & Miccoli, S. (2016). Experimental modal analysis and finite element modelling of a contemporary violin. In ICSV23 23rd International Congress on Sound & Vibration, 10–14 July, Athens
Jo, Y. H., Hong, S., Jo, S. Y., & Kwon, Y. M. (2020). Noncontact restoration of missing parts of stone Buddha statue based on three-dimensional virtual modeling and assembly simulation. Heritage Science, 8, 103. https://doi.org/10.1186/s40494-020-00450-8
Hou, M., Yang, S., Hu, Y., Wu, Y., Jiang, L., Zhao, S., & Wei, P. (2018). Novel method for virtual restoration of cultural relics with complex geometric structure based on multiscale spatial geometry. ISPRS International Journal of Geo-Information., 7(9), 353. https://doi.org/10.3390/ijgi7090353
Shakya, S. (2019). Virtual restoration of damaged archaeological artifacts obtained from expeditions using 3D visualization. Journal of Innovative Image Processing (JIIP), 1(2), 102–110. https://doi.org/10.36548/jiip.2019.2.005
Abate, A. F., Barra, S., Galeotafiore, G., Diaz, C., Aura, E., Sánchez, M., Mas, X., & Vendrell, E. (2018). An Augmented reality mobile app for museums: Virtual restoration of a plate of glass. In: M. Ioannides, et al. (Eds.), Digital heritage. Progress in cultural heritage: Documentation, preservation, and protection (Vol. 11196). EuroMed Lecture Notes in Computer Science. Cham: Springer. https://doi.org/10.1007/978-3-030-01762-0_47
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Barsanti, S.G. (2023). Structural Investigation on 3D Reality Based Models for Cultural Heritage Conservation and Virtual Restoration. In: Trizio, I., Demetrescu, E., Ferdani, D. (eds) Digital Restoration and Virtual Reconstructions. Digital Innovations in Architecture, Engineering and Construction. Springer, Cham. https://doi.org/10.1007/978-3-031-15321-1_16
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