Methodologies to Determine Geometrical Similarity Patterns as Experimental Models for Shapes in Architectural Heritage

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...

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Main Authors: Juan Moyano, María Fernández-Alconchel, Juan E. Nieto-Julián, Manuel J. Carretero-Ayuso
Format: Article
Language:English
Published: MDPI AG 2022-09-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/14/9/1893
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author Juan Moyano
María Fernández-Alconchel
Juan E. Nieto-Julián
Manuel J. Carretero-Ayuso
author_facet Juan Moyano
María Fernández-Alconchel
Juan E. Nieto-Julián
Manuel J. Carretero-Ayuso
author_sort Juan Moyano
collection DOAJ
description 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 Morón are very similar; however, the base of the pillar of the church in Carmona presents scalability variations.
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spelling doaj.art-65b59894581049edb33eef4a1db726b52023-11-23T19:12:42ZengMDPI AGSymmetry2073-89942022-09-01149189310.3390/sym14091893Methodologies to Determine Geometrical Similarity Patterns as Experimental Models for Shapes in Architectural HeritageJuan Moyano0María Fernández-Alconchel1Juan E. Nieto-Julián2Manuel J. Carretero-Ayuso3Department of Graphical Expression and Building Engineering, University of Seville, Ave. Reina Mercedes, 4A, 41012 Seville, SpainDepartment of Graphical Expression and Building Engineering, University of Seville, Ave. Reina Mercedes, 4A, 41012 Seville, SpainDepartment of Graphical Expression and Building Engineering, University of Seville, Ave. Reina Mercedes, 4A, 41012 Seville, SpainDepartment of Arquitecture, Arquitecture School, University of Alcalá, C. Sta. Úrsula, 8, 28801 Alcalá de Henares, SpainToday, 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 Morón are very similar; however, the base of the pillar of the church in Carmona presents scalability variations.https://www.mdpi.com/2073-8994/14/9/18933D range scanningTerrestrial Laser ScanningStructure-from-Motion3D data comparisonCathedral of Seville
spellingShingle Juan Moyano
María Fernández-Alconchel
Juan E. Nieto-Julián
Manuel J. Carretero-Ayuso
Methodologies to Determine Geometrical Similarity Patterns as Experimental Models for Shapes in Architectural Heritage
Symmetry
3D range scanning
Terrestrial Laser Scanning
Structure-from-Motion
3D data comparison
Cathedral of Seville
title Methodologies to Determine Geometrical Similarity Patterns as Experimental Models for Shapes in Architectural Heritage
title_full Methodologies to Determine Geometrical Similarity Patterns as Experimental Models for Shapes in Architectural Heritage
title_fullStr Methodologies to Determine Geometrical Similarity Patterns as Experimental Models for Shapes in Architectural Heritage
title_full_unstemmed Methodologies to Determine Geometrical Similarity Patterns as Experimental Models for Shapes in Architectural Heritage
title_short Methodologies to Determine Geometrical Similarity Patterns as Experimental Models for Shapes in Architectural Heritage
title_sort methodologies to determine geometrical similarity patterns as experimental models for shapes in architectural heritage
topic 3D range scanning
Terrestrial Laser Scanning
Structure-from-Motion
3D data comparison
Cathedral of Seville
url https://www.mdpi.com/2073-8994/14/9/1893
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AT juanenietojulian methodologiestodeterminegeometricalsimilaritypatternsasexperimentalmodelsforshapesinarchitecturalheritage
AT manueljcarreteroayuso methodologiestodeterminegeometricalsimilaritypatternsasexperimentalmodelsforshapesinarchitecturalheritage