C1 convexity-preserving piecewise variable degree rational interpolation spline

Lianyun PENG; Yuanpeng ZHU

doi:10.1299/jamdsm.2020jamdsm0002

Journal of Advanced Mechanical Design, Systems, and Manufacturing

Online ISSN : 1881-3054
ISSN-L : 1881-3054

Papers

C¹ convexity-preserving piecewise variable degree rational interpolation spline

Lianyun PENG, Yuanpeng ZHU

著者情報

キーワード: Convexity-preserving, Variable degree rational interpolation spline, Convergence analysis, Approximation order

ジャーナルフリー

2020 年 14 巻 1 号 p. JAMDSM0002

DOI https://doi.org/10.1299/jamdsm.2020jamdsm0002

詳細

抄録

An explicit expression of a C¹ piecewise variable degree rational interpolation spline is developed, which produces a convex (concave) interpolant to given convex (concave) data directly. The interpolant contains two local shape parameters which serves as local tension factors. Convergence analysis shows that the interpolant has O(h²) or O(h³) approximation order.