The paper introduces a generalised geometrical model capable to reproduce, with the assignment of four parameters, all the different types of the edge Lecce vaults, a system used to build with a natural fascinating sandstone the vaulted ceilings of noble palaces, churches and houses of Salento (southern Italy). Born as modification of Arab and Spanish domes these vaults, authentic pieces of art, are formed by a central dome and four groins, differing each other for their shape customized by builders. The model, defined with geometrical and mathematical terms, gives an ogival shape to the groins, thus enabling to control their junction with the dome. The solution is validated versus two different real case studies surveyed with digital photogrammetry.

中文翻译：

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用解析几何模型解释莱切拱顶

本文介绍了一种广义几何模型，该模型能够通过分配四个参数来复制所有不同类型的边缘 Lecce 拱顶，该系统用于用迷人的天然砂岩建造萨伦托贵族宫殿、教堂和房屋的拱形天花板（意大利南部）。这些拱顶是对阿拉伯和西班牙圆顶的改造而诞生的，是真正的艺术品，由一个中央圆顶和四个腹股沟组成，它们的形状各不相同，由建造者定制。该模型用几何和数学术语定义，赋予腹股沟一个椭圆形的形状，从而能够控制它们与圆顶的连接。该解决方案已与使用数字摄影测量法调查的两个不同的真实案例研究进行了验证。