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中文摘要：
<正>1引言1983年Hering首次提出与给定多边形相切的分段光滑闭曲线构造问题,并给出了其应用背景.此外,在服装CAD纸样的设计过程中,通常先根据尺寸要求确定控制点,再根据控制点用直线段绘制样片的大体轮廓,即控制多边形,然后在控制多边形内用直线和曲线绘制封闭的图形.由于样片的形状不规则,因此构成样片的曲线比较复杂,为了使曲
英文摘要：
A generation algorithm of closed adjustable quartic generalized Ball spline curves with all edges tangent to a given control polygon is proposed. The curves meet C2-continuous, and is shape preserving to tangent polygon. The con- trol points of the ball curve segments are computed simply by the vertices of the given tangent polygon directly. The geometric significance of the shape parameters is discussed. The shape of curves can be controlled by adjusting the values of shape parameters. Examples show that the method is flexible, convenient and effective.
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