Motivated by applications in freeform architecture, we study surfaces which are composed of smoothly joined bilinear patches. These surfaces turn out to be discrete versions of negatively curved affine minimal surfaces and share many properties with their classical smooth counterparts. We present computational design approaches and study special cases which should be interesting for the architectural application.

中文翻译：

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双线性贴片的平滑表面：离散仿射最小表面。

受自由形式体系结构中的应用的启发，我们研究了由平滑连接的双线性补丁组成的表面。事实证明，这些曲面是负弯曲仿射极小曲面的离散版本，并与经典的平滑曲面共享许多属性。我们提出了计算设计方法并研究了对建筑应用来说应该是有趣的特殊情况。