区分双曲一次曲面を用いた傘の形状モデリング

抄録

We show that the surface of an umbrella has negative Gaussian curvature, and due to its symmetry, the surface of the umbrella between bones can be modeled as a piecewise bilinear surface. We investigate various differential geometric properties of the umbrella surface and demonstrate the effectiveness of our proposed geometric modeling of umbrella surfaces.