Abstract

Abstract. This paper proposes a procedure for the search of a geometrical similarity pattern in architectural heritage by means of calculating probability indexes to support hypotheses initially endorsed by documentary sources. The buildings analysed are the Cathedral of Seville and the Church of Santiago, in Jerez, Spain. The 3D models of their selected pillars are obtained by means of Terrestrial Laser Scanning (TLS), Optical Scanning (OS) and photogrammetry through image-based modelling software (SFM-IBM). To this end, a procedure for the comparison of shapes is established. It is based on similarity statistics, the determination of homologous points and the agreement of characteristic sections. Here, two key aspects are considered: on the one hand, the metric standpoint; on the other hand, historical-graphical features of the 3D models: composition, techniques, styles, and historical-graphical documentary sources. Thus, putting aside the mere dimensional analysis, the sections are compared with graphical patterns and models of which the same authorship – stonemasons working in that age – is accurately known. As a result, the outcomes of this research reveal the geometrical similarity between the elements of the pillars of the Cathedral of Seville and the Church of Santiago.

Highlights

  • This paper proposes a procedure for the search of a geometrical similarity pattern in architectural heritage by means of calculating probability indexes to support hypotheses initially endorsed by documentary sources

  • The use of data acquisition techniques such as Terrestrial Laser Scanning (TLS), Optical Scanning (OS), and SFM shows numerous advantages to evidence documentary sources in architectural heritage. Based on this kind of sources, this paper proposes a novel approach for the search of a geometrical similarity pattern to support hypotheses initially endorsed by documentary sources

  • Once diverse software was used to align the OS meshes according to the global point clouds from TLS, the different sections extracted show diverse alterations produced by natural processes and the course of time, or possible structural movements, the parishioners may have contributed to this geometrical deterioration of the stone

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Summary

Literature review

The new technologies for data acquisition allow agents involved in restoration projects for architectural and cultural heritage to apply algorithms of analysis and vision, which enable high quality 3D modelling procedures. There are a large number of publications in which the photogrammetric Structure-From-Motion (SFM) technique and Terrestrial Laser Scanning (TLS) are employed in fieldwork so as to obtain precise data of the heritage (Pieraccini et al, 2001), (Yastikli, 2007), (Pavlidis et al, 2007), (Yilmaz et al, 2007), (Mostaza et al, n.d.), (Mañana-Borrazás et al, 2008), (Almagro, 2000), (Muñoz et al, 2010) and (Pérez-García et al, 2011) In this line and considered as advances towards the scientific development in the field of 3D modelling, other studies address superficial analysis methods to compare the reliability of both techniques (Teza et al, 2016), (Koutsoudis et al, 2014), (Westoby et al, 2012), or carry out the review of the use of different algorithms used for point cloud generation (Remondino et al, 2012). The International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, Volume XLII-2/W3, 2017 3D Virtual Reconstruction and Visualization of Complex Architectures, 1–3 March 2017, Nafplio, Greece new technologies may shed light on numerous enquiries concerning the authorship of works

Objective
Control points arrangement
Case study
Methodology
Data processing
CONCLUSIONS
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