In the present work, we focus on some of the current trends used in furniture design, from a dual point of view: differential geometry of curves and surfaces, and the existing perspective deriving from the usual techniques of computer-aided design. The contributions of architects such as Alvar Aalto, Mies van der Rohe, Marcel Breuer, Arne Jacobsen and Charles and Ray Eames to contemporary chair design are related to these techniques. Among them, we point out those which are performed by means of spatial geometric transformations of curves and surfaces, with an emphasis on ruled surfaces.

中文翻译：

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当代椅子设计中曲线和曲面的几何形状

在目前的工作中，我们从双重角度关注家具设计中使用的一些当前趋势：曲线和曲面的微分几何，以及源自计算机辅助设计的常用技术的现有视角。Alvar Aalto、Mies van der Rohe、Marcel Breuer、Arne Jacobsen 以及 Charles 和 Ray Eames 等建筑师对当代椅子设计的贡献都与这些技术有关。其中，我们指出了通过曲线和曲面的空间几何变换进行的那些，重点是直纹曲面。