The paper proposes the first results of an ongoing research on the geometry of ribbed cross vaults starting from the principles and theories illustrated in some historical treatises. In the research, a particular role is assumed by algorithmic modelling which is an effective tool for the construction and verification of the geometry of the intrados surfaces of vaults. Starting from the studies conducted in this regard by the two Italian engineers. The construction of the digital models deriving from treatises by Curioni and Lamberti has allowed us to compare them with the geometry of the vaults of a side chapel of the church of Santa Lucia in Cagliari. Through the 3D laser scanner survey of these vaults, it was possible to evaluate which of the models proposed in the two treatises best approximated the case study of Santa Lucia in order to conduct algorithmic modelling of the surface closest to the geometry of the vaults revealed by the point cloud.

本文从一些历史论文中阐述的原理和理论出发，提出了对带肋交叉拱顶的几何形状的正在进行的研究的初步结果。在研究中，算法建模扮演了一个特殊的角色，它是构建和验证拱顶内曲面几何形状的有效工具。从两位意大利工程师在这方面进行的研究开始。根据 Curioni 和 Lamberti 的论文构建的数字模型使我们能够将它们与卡利亚里圣卢西亚教堂侧教堂拱顶的几何形状进行比较。通过对这些金库的 3D 激光扫描仪调查，