{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,5]],"date-time":"2025-11-05T11:25:14Z","timestamp":1762341914708,"version":"build-2065373602"},"reference-count":103,"publisher":"MDPI AG","issue":"9","license":[{"start":{"date-parts":[[2022,9,9]],"date-time":"2022-09-09T00:00:00Z","timestamp":1662681600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Universidad de Sevilla through VI Plan Propio de Investigaci\u00f3n y Transferencia (VIPPIT)"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>Today, plans to protect historic buildings focus on managing architectural heritage sustainably. Technical teams, such as architects and restorers, use massive data acquisition techniques, so an identification mechanism is required to select geometrical similarity patters to support hypothesis that guarantee historical data. Moreover, computational methods are required to understand the role of organic shapes in historic buildings. This paper first describes an extensive review of the literature and then the algorithms and methods to compare and to detect similar geometrical elements and complex patterns in architecture and archaeology. For this purpose, two key aspects are considered: the metric standpoint and historical-graphical features of the 3D models, i.e., composition, techniques, styles, and historical-graphical documentary sources. Research implies testing several methodological lines to know the similarity degree of complex organic shapes in architectural details through statistical analysis, software to assess point clouds, and complex curve analysis. The results have shown that the three procedures can be compared and that the bases of the pillars of both the Cathedral of Seville and the churches in Carmona, Jerez, and Mor\u00f3n are very similar; however, the base of the pillar of the church in Carmona presents scalability variations.<\/jats:p>","DOI":"10.3390\/sym14091893","type":"journal-article","created":{"date-parts":[[2022,9,13]],"date-time":"2022-09-13T22:37:28Z","timestamp":1663108648000},"page":"1893","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Methodologies to Determine Geometrical Similarity Patterns as Experimental Models for Shapes in Architectural Heritage"],"prefix":"10.3390","volume":"14","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-2186-6159","authenticated-orcid":false,"given":"Juan","family":"Moyano","sequence":"first","affiliation":[{"name":"Department of Graphical Expression and Building Engineering, University of Seville, Ave. Reina Mercedes, 4A, 41012 Seville, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Mar\u00eda","family":"Fern\u00e1ndez-Alconchel","sequence":"additional","affiliation":[{"name":"Department of Graphical Expression and Building Engineering, University of Seville, Ave. Reina Mercedes, 4A, 41012 Seville, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1413-3811","authenticated-orcid":false,"given":"Juan E.","family":"Nieto-Juli\u00e1n","sequence":"additional","affiliation":[{"name":"Department of Graphical Expression and Building Engineering, University of Seville, Ave. Reina Mercedes, 4A, 41012 Seville, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Manuel J.","family":"Carretero-Ayuso","sequence":"additional","affiliation":[{"name":"Department of Arquitecture, Arquitecture School, University of Alcal\u00e1, C. Sta. \u00darsula, 8, 28801 Alcal\u00e1 de Henares, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2022,9,9]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Cursi, S., Simeone, D., and Toldo, I. (2015, January 8\u201310). A semantic web approach for built heritage representation. Proceedings of the International Conference on Computer-Aided Architectural Design Futures, S\u00e3o Paulo, Brazil.","DOI":"10.1007\/978-3-662-47386-3_21"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"57","DOI":"10.5194\/isprsarchives-XL-5-W1-57-2013","article-title":"Semi-Automatic Modelling of Building Fa\u00e7ades with Shape Grammars Using Historic Building Information Modelling","volume":"XL-5\/W1","author":"Dore","year":"2013","journal-title":"ISPRS-Int. Arch. Photogramm. Remote Sens. Spat. Inf. 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