J4 ›› 2006, Vol. 28 ›› Issue (2): 48-50.
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吴晓勤 严秀坤
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摘要：
本文给出了一组特殊的基函数，由此生成的曲线称为三次C-Cardinal样条曲线，是Cardinal样条曲线的推广，形状调整依赖于参数λ和α。当a→0时，所给的曲线是Cardinal样条曲线。运用张量积讨论了曲面的情形，具有与曲线完全类似的性质。实例表明，该曲线／面可用于曲线曲面造型。
关键词: C-曲线 Cardinal样条 插值
Abstract:
A new curve called the cubic e-cardinal spline curve constructed by a set of special cubic basis functions is discussed. The cubic e-cardinal spline curve presents an extension of the cardinal spline curve. Its shape depends on two pararneters ,λ,a, and the limiting case of α→0 is the cardinal spliine curve. The surface is constructed with the tensor product method. Its property is analogous with the curve. Examples show that the curve/surface can be used to free-form curves and surface modeling.
Key words: C-curve, Cardinal spline, interpolation
吴晓勤 严秀坤. 三次C—Cardinal样条曲线及曲面[J]. J4, 2006, 28(2): 48-50.
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http://joces.nudt.edu.cn/CN/Y2006/V28/I2/48
