Abstract

Artistic, architectural and Cultural Heritage (CH) structures are often exposed to a high risk of damage caused by seismic events, natural disasters and more by negligence and poor state of preservation and conservation; the use of a series of technologies, based on digital acquisition and high-level data processing, allows the realisation of a three-dimensional model of high detail. In order to preserve structures of particular historical and architectural value, it is necessary to assess their structural stability. In addition, many structures, such as statues, have rather complex geometries. Therefore, it is necessary to identify a methodology able to transform the point cloud generated through a geomatics approach into a model suitable for FEM (Finite Element Analysis) analysis. This process, known as Scan to FEM, is addressed in this paper. The paper shows the case study of the “Colossus of Barletta”, a bronze statue dating back to the 5th century A.D. located in the city of Barletta, Italy. To analyse this structure, a suitable methodology has been developed which is based on the optimisation of the surface model of the structure; in this way, it is possible to obtain an efficient transformation from a digital photogrammetric model with complex geometry into a model suitable for structural finite element analysis. The digital photogrammetry technique was applied for the survey of the structure, which allowed us to obtain a very high-resolution dense point cloud and a geometrically accurate three-dimensional mesh model, i.e., in a TIN (Triangulated Irregular Network) model. Subsequently, the TIN was transformed into a quad mesh model (identifying a suitable reduction value) and finally into NURBS (Non-Uniform Rational Basis-Splines) to be optimised and imported into a finite element calculation software. This geomatics approach has validated an efficient Scan to FEM process; in fact, thanks to this methodology, it is possible to elaborate three-dimensional models with complex geometry and draw a series of considerations related to structural behaviour or specific restoration interventions.

Highlights

  • This research aims to investigate the aspects related to the building of a parametric model for FEM analysis starting from a model with a rather complex geometry

  • 2022, 14, 664 particular, this research aims to investigate the aspects related to the building of a para4 of 22 metric model for FEM analysis starting from a model with a rather complex geometry

  • From the analysis of these tests carried out on other photogrammetric datasets concerning statues, it is possible to note that the reduction from the TIN model to quad mesh is optimal for values of 10% as the accuracy and detail of some details are reproduced in a manner close to the reference model

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Summary

Introduction

Digitisation and three-dimensional modelling techniques make it possible to faithfully reconstruct the exact shape of objects or structures. Three-dimensional modelling can be performed by the use of range-based modelling or image-based techniques [4,5]. An example of range-based modelling can be performed by the Terrestrial Laser Scanner (TLS), which allows us to quickly determine the position of millions of points that accurately define and reproduce the surface and geometry of the objects detected [6,7]. The TLS method, complemented by close-range digital photogrammetry, allowed us to perform a series of structural analyses and evaluate the effects of deformations. Virtanen et al (2014) [9] use two separate datasets, both acquired by terrestrial laser scanning to produce physical models from three-dimensional digital mesh models. Khodja et al (2019) [10] use the laser scanner survey technique to be supportive of the restoration and provide useful and accurate details, following defacement, of the missing part of a marble statue representing a nymph and publicly displayed in the centre of the main square

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