Abstract: The cubic Timmer curve can interpolate the midpoint of the intermediate control edge of the control polygon, however, it can not tangent the control edge. And the cubic Timmer curve does not possess the convex hull property. In response to these flaws, this paper proposes one kind of curve（call it Timmer-like curve）. The Timmer-like curve not only possesses some properties as the Timmer curve, but possesses the convex hull property, interpolates the midpoint of the second control edge of the control polygon, and the second control edge tangents the midpoint of the second control edge of the control polygon.

Key words: Timmer curve, Bézier curve, convex hull property

摘要： 三次Timmer曲线能够插值的控制多边形中间控制边的中点，但它却不能保证与该控制边相切，且三次Timmer曲线不具有凸包性。针对于此，提出了一类曲线（称之拟Timmer曲线），拟Timmer曲线不仅具有与Timmer曲线所类似的性质，而且具有凸包性，且能够插值中间控制边的中点，并与之相切。

关键词: Timmer曲线, Bé, zier曲线, 凸包性