TRAPEZOIDAL AND APSIDAL RIBBED VAULTS SMART 3D RECONSTRUCTION

Abstract. The automatic generation of structured 3D model from point clouds is a primary focus for a lot of researches in the area of 3D modelling and HBIM. The use of procedural modelling techniques, based on set of geometric rules, is spreading the construction of parametric objects and processes for survey data mapping. In this research field one of the most common methodological approach consists in testing different procedures based on use of specific data from point cloud. One of the main problem to solve is to define the best parameters to use in relation to geometric features of different architectural element and what are the data to extract from point cloud. Starting from shape grammar approach, the main goal of our research is to define 3D parametric models for ribbed vaults suitable to generate 3D smart model for different uses. Most researches in this area deal the case of rectangular or square plan vaults, we addressed the case of trapezoidal vaults and different rules used for apsidal vaults tracing. Our aim is to define an adaptive parametric model that we can use to generate a 3D ideal model or a mixed reality based model. In order to evaluate our tool we compared two 3D models with point clouds: the first is based on geometric rules from sources, the second is based on some specific data from point cloud. Testing the tool on two gothic churches in Naples, the church of S. Lorenzo and the church of S.Maria di Donnaregina, we are going to improve it.