{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T04:18:32Z","timestamp":1760242712702,"version":"build-2065373602"},"reference-count":34,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2016,3,14]],"date-time":"2016-03-14T00:00:00Z","timestamp":1457913600000},"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>In the field of documentation and preservation of cultural heritage, there is keen interest in 3D metric viewing and rendering of architecture for both formal appearance and color. On the other hand, operative steps of restoration interventions still require full-scale, 2D metric surface representations. The transition from 3D to 2D representation, with the related geometric transformations, has not yet been fully formalized for planar development of frescoed vaults. Methodologies proposed so far on this subject provide transitioning from point cloud models to ideal mathematical surfaces and projecting textures using software tools. The methodology used for geometry and texture development in the present work does not require any dedicated software. The different processing steps can be individually checked for any error introduced, which can be then quantified. A direct accuracy check of the planar development of the frescoed surface has been carried out by qualified restorers, yielding a result of 3 mm. The proposed methodology, although requiring further studies to improve automation of the different processing steps, allowed extracting 2D drafts fully usable by operators restoring the vault frescoes.<\/jats:p>","DOI":"10.3390\/rs8030239","type":"journal-article","created":{"date-parts":[[2016,3,14]],"date-time":"2016-03-14T11:03:45Z","timestamp":1457953425000},"page":"239","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":8,"title":["Frescoed Vaults: Accuracy Controlled Simplified Methodology for Planar Development of Three-Dimensional Textured Models"],"prefix":"10.3390","volume":"8","author":[{"given":"Marco","family":"Bevilacqua","sequence":"first","affiliation":[{"name":"Energy, Systems, Territory and Construction Engineering Department (DESTeC), University of Pisa, Largo Lucio Lazzarino 1, 56122 Pisa, Italy"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3065-0616","authenticated-orcid":false,"given":"Gabriella","family":"Caroti","sequence":"additional","affiliation":[{"name":"Civil and Industrial Engineering Department (DICI), University of Pisa, Largo Lucio Lazzarino 1, 56122 Pisa, Italy"}]},{"given":"Isabel","family":"Mart\u00ednez-Espejo Zaragoza","sequence":"additional","affiliation":[{"name":"Civil and Industrial Engineering Department (DICI), University of Pisa, Largo Lucio Lazzarino 1, 56122 Pisa, Italy"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0582-5314","authenticated-orcid":false,"given":"Andrea","family":"Piemonte","sequence":"additional","affiliation":[{"name":"Civil and Industrial Engineering Department (DICI), University of Pisa, Largo Lucio Lazzarino 1, 56122 Pisa, Italy"}]}],"member":"1968","published-online":{"date-parts":[[2016,3,14]]},"reference":[{"key":"ref_1","first-page":"140","article-title":"An unconventional application of analytical plotters to architectural photogrammetry: Projection, plotting and digitizing on non plane surfaces","volume":"27","author":"Dequal","year":"1988","journal-title":"Int. Arch. Photogramm. Remote Sens. Spat. Inf. Sci."},{"key":"ref_2","unstructured":"Karras, G.E., Petsa, E., Dimarogona, A., and Kouroupis, S. (2001). Virtual and Augmented Architecture (VAA\u201901), Springer."},{"key":"ref_3","first-page":"290","article-title":"Digital monoplotting and photo-unwrapping of developable surfaces in architectural photogrammetry","volume":"31","author":"Karras","year":"1996","journal-title":"Int. Arch. Photogramm. Remote Sens."},{"key":"ref_4","unstructured":"Georgopoulos, A., Makris, G.N., Tournas, E., and Ioannidis, C.H. (2001, January 18\u201321). Digitally developing works of art. Proceedings of the CIPA 2001 International Symposium, Potsdam, Germany."},{"key":"ref_5","first-page":"463","article-title":"Fitting, portrayal and mapping for the production of 2nd order surfaces photomosaics","volume":"34","author":"Valanis","year":"2002","journal-title":"Int. Arch. Photogramm. Remote Sens."},{"key":"ref_6","first-page":"451","article-title":"Digital development of a small Valencian tower","volume":"35","author":"Lerma","year":"2004","journal-title":"Int. Arch. Photogramm. Remote Sens. Spat. Inf. Sci."},{"key":"ref_7","unstructured":"Pera, L. (1987). Tecnica Dell\u2019architettura. Tipologia Strutturale, Goliardica."},{"key":"ref_8","unstructured":"De la Plaza Escudero, L. (2008). Diccionario Visual de T\u00e9rminos Arquitect\u00f3nicos, Grandes Temas C\u00e1tedra."},{"key":"ref_9","unstructured":"Baltasavias, E., Gruen, A., Van Gool, L., and Pateraki, M. (2006). Recording, Modeling and Visualization of Cultural Heritage, Taylor & Francis Group."},{"key":"ref_10","unstructured":"Bevilacqua, M.G., Caroti, G., and Piemonte, A. (2012, January 6\u20139). Rilievi integrati della Basilica romanica di San Gavino a Porto Torres. Proceedings of the 16a Conferenza Nazionale ASITA, Vicenza, Italy."},{"key":"ref_11","first-page":"373","article-title":"An integrated survey for knowledge and preservation of a cultural heritage: The Albanian fortified citadel of Elbasan","volume":"37","author":"Caroti","year":"2008","journal-title":"Int. Arch. Photogramm. Remote Sens. Spat. Inf. Sci."},{"key":"ref_12","unstructured":"Caroti, G., and Piemonte, A. (2012, January 3). Studio relativo al rilevamento di dettaglio di una porzione del transetto nord della chiesa di San Paolo a Ripa d\u2019Arno al fine di procedere al consolidamento strutturale. Proceedings of the Un incontro informale per i 70 anni del Prof. Carlo Monti, Milano, Italy."},{"key":"ref_13","doi-asserted-by":"crossref","unstructured":"Dore, C., and Murphy, M. (2012, January 2\u20135). Integration of Historic Building Information Modelling (HBIM) and 3D GIS for recording and managing cultural heritage sites. Proceedings of the IEEE 18th International Conference on Virtual Systems and Multimedia (VSMM), Milan, Italia.","DOI":"10.1109\/VSMM.2012.6365947"},{"key":"ref_14","unstructured":"Juan Vidal, F., and Mart\u00ednez-Espejo Zaragoza, I. (2011, January 14\u201316). Hypotesisforthe virtual anastilosis of themainchapel of the Iglesia de Los Desamparados de Les Coves de Vinrom\u00e1. Proceedings of the 16th International Conference on Cultural Heritage and New Technologies, Vienna, Austria."},{"key":"ref_15","unstructured":"Lerma, J.L., Cabrelles, M., Navarro, S., and Segu\u00ed, A.E. (2011). Documentaci\u00f3n Gr\u00e1fica del Patrimonio, Ministerio de Cultura."},{"key":"ref_16","unstructured":"Marambio, A., Pucci, B., Nu\u00f1ez, M.A., and Buill, F. (2009, January 3\u20135). La aplicaci\u00f3n del esc\u00e1ner l\u00e1ser terrestre en la catalogaci\u00f3n del patrimonio arquitect\u00f3nico del casco hist\u00f3rico de Castellfollit de la Roca. Proceedings of the VIII Semana Geom\u00e1tica Internacional, Barcelona, Spain."},{"key":"ref_17","unstructured":"Mart\u00ednez-Espejo Zaragoza, I., and Juan Vidal, F. (December, January 29). Gesti\u00f3n gr\u00e1fica avanzada de edificaciones antiguas. Proceedings of the XI Congreso Internacional de Expresi\u00f3n Gr\u00e1fica Aplicada a la Edificaci\u00f3n, Universidad Polit\u00e9cnica de Valencia, Valencia, Spain."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"1","DOI":"10.5194\/isprsarchives-XL-5-W1-1-2013","article-title":"Robust extraction of image correspondences exploiting the image scene geometry and approximate camera orientation","volume":"40","author":"Alsadik","year":"2013","journal-title":"Int. Arch. Photogramm. Remote Sens. Spat. Inf. Sci."},{"key":"ref_19","unstructured":"Guidi, G., Russo, M., and Beraldin, J.A. (2010). Acquisizione 3D e Modellazione Poligonale, McGraw-Hill."},{"key":"ref_20","doi-asserted-by":"crossref","unstructured":"Catalin Alexandru, C. (2012). Modelling and Simulation in Engineering, InTech.","DOI":"10.5772\/1415"},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"133","DOI":"10.5194\/isprsarchives-XL-5-W1-133-2013","article-title":"The combination of laser scanning and structure from motion technology for creation of accurate exterior and interior orthophotos of St. Nicholas Baroque church","volume":"40","author":"Koska","year":"2013","journal-title":"Int. Arch. Photogramm. Remote Sens. Spat. Inf. Sci."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"499","DOI":"10.1016\/j.jas.2009.10.011","article-title":"Terrestrial laser scanning and close range photogrammetry for 3D archaeological documentation: The upper Palaeolithic Cave of Parpall\u00f3 as a case study","volume":"37","author":"Lerma","year":"2010","journal-title":"J. Archaeol. Sci."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"251","DOI":"10.5194\/isprsarchives-XL-5-W1-251-2013","article-title":"Image acquisition and model selection for multi-view stereo","volume":"40","author":"Wenzel","year":"2013","journal-title":"Int. Arch. Photogramm. Remote Sens. Spat. Inf. Sci."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"144","DOI":"10.1111\/phor.12063","article-title":"State of the art in high density image matching","volume":"29","author":"Remondino","year":"2014","journal-title":"Photogramm. Rec."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"47","DOI":"10.5194\/isprsarchives-XL-5-47-2014","article-title":"Evaluation of feature-based methods for automated network orientation","volume":"40","author":"Apollonio","year":"2014","journal-title":"Int. Arch. Photogramm. Remote Sens. Spat. Inf. Sci."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"103","DOI":"10.5194\/isprsarchives-XL-1-W4-103-2015","article-title":"Accuracy assessment in structure from motion 3D reconstruction from UAV-born images: The influence of the data processing methods","volume":"40","author":"Caroti","year":"2015","journal-title":"Int. Arch. Photogramm. Remote Sens. Spat. Inf. Sci."},{"key":"ref_27","unstructured":"Apollonio, F.I., and Remondino, F. (2010). Modelli Digitali 3D in Archeologia: Il Caso di Pompei, Scuola Normale Superiore Pisa."},{"key":"ref_28","first-page":"523","article-title":"Survey problems and representation of architectural painted surfaces","volume":"38","author":"Carpiceci","year":"2011","journal-title":"Int. Arch. Photogramm. Remote Sens. Spat. Inf. Sci."},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"115","DOI":"10.5194\/isprsarchives-XXXIX-B5-115-2012","article-title":"High resolution 3D modeling of the behaim globe","volume":"39","author":"Menna","year":"2012","journal-title":"Int. Arch. Photogramm. Remote Sens. Spat. Inf. Sci."},{"key":"ref_30","doi-asserted-by":"crossref","unstructured":"Cipriani, L., Fantini, F., and Bertacchi, S. (2014, January 9\u201312). Survey and representation of vaults and cupolas: An overview on some relevant Italian UNESCO Sites. Proceedings of the IEEE International Conference on Virtual Systems & Multimedia (VSMM), Hong Kong, China.","DOI":"10.1109\/VSMM.2014.7136682"},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"105","DOI":"10.5194\/isprsannals-II-5-105-2014","article-title":"Recovering a collapsed medieval fresco by using 3D modeling techniques","volume":"2","author":"Chiabrando","year":"2014","journal-title":"ISPRS Ann. Photogramm. Remote Sens. Spat. Inf. Sci."},{"key":"ref_32","unstructured":"Pancani, G. (2011, January 1\u20132). Lo svolgimento in vera grandezza delle volte affrescate delle sale dei quartieri al piano terreno di Palazzo Pitti a Firenze. Proceedings of the Giornate di Studio Il Disegno delle trasformazioni, Napoli, Italy."},{"key":"ref_33","unstructured":"Cannella, M. Sviluppo e Rappresentazione Digitale di Superfici Architettoniche Complesse per la Documentazione e il Restauro. Available online: http:\/\/hdl.handle.net\/10447\/130394."},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"1605","DOI":"10.1016\/j.jas.2006.02.016","article-title":"A computerized solution for the epigraphic survey in Egyptian Temples","volume":"33","author":"Meyer","year":"2006","journal-title":"J. Archaeol. Sci."}],"container-title":["Remote Sensing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2072-4292\/8\/3\/239\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T19:20:41Z","timestamp":1760210441000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2072-4292\/8\/3\/239"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,3,14]]},"references-count":34,"journal-issue":{"issue":"3","published-online":{"date-parts":[[2016,3]]}},"alternative-id":["rs8030239"],"URL":"https:\/\/doi.org\/10.3390\/rs8030239","relation":{},"ISSN":["2072-4292"],"issn-type":[{"type":"electronic","value":"2072-4292"}],"subject":[],"published":{"date-parts":[[2016,3,14]]}}}