Based on geometry and convex set methods, this paper gives systemically the definitions of global and local convexity for planar closed parametric curve, and proves the two definitions are equivalent.

从几何和凸集的角度，系统地给出了平面闭参数曲线全局凸和局部凸定义，并且证明了这两个定义是等价的。

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Based on geometry and convex set methods, this paper gives systemically the definitions of global and local convexity for planar closed parametric curve, and proves the two definitions are equivalent.

从几何和凸集的角度，系统地给出了平面闭参数曲线全局凸和局部凸定义，并且证明了这两个定义是等价的。

youdao