Developable surfaces are defined to be locally isometric to a plane. These surfaces can be formed by bending thin flat sheets of material, which makes them an active research topic in computer graphics, computer aided design, computational origami and manufacturing architecture. We obtain condition for developable and minimal ruled surfaces using rotation frame. Also, the validity of the theorems is illustrated with examples.

中文翻译：

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一种利用曲率理论设计可展最小直纹曲面的方法

可展曲面被定义为与平面局部等距。这些表面可以通过弯曲薄的平板材料形成，这使它们成为计算机图形学、计算机辅助设计、计算折纸和制造架构中的活跃研究课题。我们使用旋转框架获得了可展开和最小规则表面的条件。此外，还举例说明了定理的有效性。