C1 convexity-preserving piecewise variable degree rational interpolation spline

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...

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Bibliographic Details
Main Authors: Lianyun PENG, Yuanpeng ZHU
Format: Article
Language:English
Published: The Japan Society of Mechanical Engineers 2020-01-01
Series:Journal of Advanced Mechanical Design, Systems, and Manufacturing
Subjects:
Online Access:https://www.jstage.jst.go.jp/article/jamdsm/14/1/14_2020jamdsm0002/_pdf/-char/en