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 PENGYuanpeng ZHU
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2020 年 14 巻 1 号 p. JAMDSM0002

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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.

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© 2020 by The Japan Society of Mechanical Engineers
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