矩阵加权有理Bézier曲线到有理Bézier曲线的转换
Conversion of matrix weighted rational Bézier curves to rational Bézier curves
摘要:
矩阵加权有理Bézier曲线可以使用少量的控制点和矩阵权重的清晰几何定义来表示复杂的曲线形状。推导了二维或三维空间中矩阵加权有理Bézier曲线的显式转换公式。作为一个猜想,给出了一种计算矩阵加权有理Bézier曲线的凸包的方法.
英文摘要:
Matrix weighted rational Bézier curves can represent complex curve shapes using small numbers of control points and clear geometric definitions of matrix weights. Explicit formulae are derived to convert matrix weighted rational Bézier curves in 2D or 3D space to rational Bézier curves. A method for computing the convex hulls of matrix weighted rational Bézier curves is given as a conjecture.
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