CONSTRAINED RATIONAL CUBIC SPLINE AND ITS APPLICATION

• 作者: Fu-hua (Frank) Cheng Huan-ling Zhang Nan Xie Qi Duan Xiang Lai
• 来源期刊: 计算数学（英文版）
• 学科: 数学
• 关键词: Rational spline Constrained design Constrained interpolation Convex inter- polation Shape control.
• 年，卷（期）: 2001,（2）
• 页码范围: 143-150
• 页数: 8页
• 分类号: O1
• 语种: 英文

摘要

In this paper, a kind of rational cubic interpolation functionwith linear denominator is constructed. The constrained interpolation with constraint on shape of the interpolating curves and on the second-order derivative of the interpolating function is studied by using this interpolation, and as the consequent result, the convex interpolation conditions have been derived.