A Methodology for Planar Representation of Frescoed Oval Domes: Formulation and Testing on Pisa Cathedral

Abstract

This paper presents an original methodology for planar development of a frescoed dome with an oval plan. Input data include a rigorous geometric survey, performed with a laser scanner, and a photogrammetry campaign, which associates a high-quality photographic texture to the 3D model. Therefore, the main topics include the development of geometry and, contextually, of the associated textures. In order to overcome the inability to directly develop the surface, an orthographic azimuthal projection is used. Starting from a prerequisite study of building methodology, the dome is divided into sectors and bands, each linked with the maximum acceptable deformations and the actual geometric discontinuities detectable by the analysis of Gaussian curvature. Upon definition of the development model, a custom automation script has been devised for geometry projection. This effectively generates a (u,v) map, associated to the model, which is used for model texturing and provides the planar development of the fresco.

Virtual reconstruction of a ghost disco: the Woodpecker in Milano Marittima

“…Proper flight design is needed for terrestrial and UAV acquisition are crucial to obtain a photogrammetric model with good image overlay [9].…”

Point Cloud Segmentation and Filtering To Verify the Geometric Genesis of Simple and Composed Vaults

“…A future goal is to complete the translation of the process in visual scripting language to generate a user-friendly automatic system to build curves that best fit irregular and discontinuous polylines extracted from point cloud. A correct intrados or extrados model is suitable for analysis of structural behaviour, deformations, geometric study and development of frescoes (Piemonte et al, 2018) This approach upgrades researches about different modeling logics aimed at different goals optimizing CAD and OOCAD modeling for Scan to HBIM processes. In conclusion, this approach aims to merge implicit mathematical approach and user-friendly visual scripting approach to accelerate and simplify the recognition and modeling of architectural elements.…”

Hbim Methodologies for the Architectural Restoration. The Case of the Ex-Church of San Quirico All’olivo in Lucca, Tuscany

“…The evolution of geomatics methodologies currently provides several solutions for the generation of such models. To date, the highest performing methodology as regards geometric precision and strictness in texture mapping is the integration between laser scanning and photogrammetry [Caroti et al, 2015;Cipriani & Fantini, 2017;Gruen, 2009;Piemonte, et al, 2018], the latter in its latest acceptation, i.e. exploiting Structure from Motion and Multi-View Stereo algorithms [Remondino et al, 2014;Wenzel, et al, 2013].…”