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首页> 外文期刊>Journal of Zhejiang University. Science, A >Two-order Hermite vector-interpolating subdivision schemes
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Two-order Hermite vector-interpolating subdivision schemes

机译:两个阶Hermite矢量插值细分方案

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A family of two-order Hermite vector-interpolating subdivision schemes is proposed and its convergence and continuity are analyzed. The iterative level can be estimated for given error. The sufficient conditions of C2 continuity are proved. geometric features of subdivision curves, such as line segments, cusps and inflection points, are obtained by appending some conditions to initial vectorial Hermite sequence. An algorithm is presented for generating geometric features. For an initial sequence of two-order Hermite elements from unit circle, the numerical error of the 4th subdivided level is O(10?4).
机译:提出了一个两阶Hermite矢量插值细分方案,分析了其收敛性和连续性。可以估计迭代级别给定误差。证明了C2连续性的充分条件。通过将一些条件施加到初始载体Hermite序列来获得细分曲线的几何特征,例如线段,尖头和拐点。提出了一种用于生成几何特征的算法。对于来自单位圆的两个阶Hermite元素的初始序列,第4个细分级别的数值误差是O(10?4)。

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