A family of tangent continuous cubic algebraic splines
A family of tangent continuous cubic algebraic splines
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DOI：
10.1145/169711.169707
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发表时间：
1993-07
期刊：
影响因子：
--
通讯作者：
M. Paluszny;R. Patterson
中科院分区：
文献类型：
--
作者：
M. Paluszny;R. Patterson
提出了一种由代数三次曲线段生成切向连续样条的算法。使用的曲线是三次椭圆形，因此保证是凸的。每个段由具有五个系数的方程给出，因此四个自由度可用于形状控制。我们描述了通过控制曲线的坐标来工作的形状控制柄。每个线段都可以选择插入一个点和斜率，并有两个额外的填充参数来控制形状。这个曲线族自然包含圆锥样条作为一个子族。
We present an algorithm for creating tangent continuous splines from segments of algebraic cubic curves. The curves used are cubic ovals, and thus are guaranteed convex. Each segment is given by an equation which has five coefficients, thus four degrees of freedom available for shape control. We describe shape handles that work via the coet%cients ta control the curve. Each segment can be chosen to interpolate one more point and slope and has two additional fullness parameters to control the shape. This family of curves naturally contains conic splines as a subfamily.