J4 ›› 2006, Vol. 28 ›› Issue (1): 59-61.
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吴晓勤 严秀坤
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摘要：
本文论述了与给定切线多边形相切的有理二次Bézier曲线，构造曲线是曲率连续的，具有局部可调性，且对切线多边形是保形的；跟三次（四次）Bézier曲线或B样条曲线方法相比，具有切点的变动范围更大、曲线次数低、结构简单、计算量少、显示更快的特点。最后，通过实例加以说明。
关键词: 有理二次Bé, zier曲线 切线多边形 保形曲线
Abstract:
This paper proposes an approach of constructing rational quadratic Bézier curves with all edges tangent to a given control polygon. The curve is joined by piecewise as G^2-continuity and shape-preserving to the tangent polygon. The rational quadratic Bézier curve is less of computation than the curv ves with the cubic（quartic） B6zier and cubic（quartic） B- Spline curves. Pinally, two examples show that the method given in this paper is effective for CAGD.
Key words: rational quadratic Bézierr curve;tangent polygon;shape-preserving curve
吴晓勤 严秀坤. 带有给定切线多边形的曲率连续的有理二次样条曲线[J]. J4, 2006, 28(1): 59-61.
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http://joces.nudt.edu.cn/CN/Y2006/V28/I1/59
