【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α→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。更多还原

【Abstract】 A new curve called the cubic c-cardinal spline curve constructed by a set of special cubic basis functions is discussed.The cubic c-cardinal spline curve presents an extension of the cardinal spline curve.Its shape depends on two parameters λ,α,and the limiting case of α0 is the cardinal spline 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.更多还原