Research on Knot Insertion Algorithms forGeometrically Continuous ECT B Spline Curves
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摘要:
在几何连续的ECT(extended complete Tchebycheff)样条空间中,通过构造广义Pólya 多项式和广义de Boor—Fix 对偶泛函,分单节点和重节点两种情形,探讨了ECT B 样条曲线的节点插入算法,并给出四阶代数双曲样条曲线节 点插入的实例。
Abstract:
Extending the Pólya polynomial and de Boor-Fix dual functionals to geometrically continuous ECT (extended complete Tchebycheff)spline space,we discussed the knot insertion algorithms for ECT splines in two cases:simple knots and multiple knots. At last we gave examples about algebraic hyperbolic spline curves
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李玉娟,唐月红,蒋春娟.几何连续ECT B 样条曲线的节点插入算法研究[J].西昌学院学报(自然科学版),2013,(1):42-47,50.