Duan Qi
Abstract
A rational interpolating spline based on function values is constructed, which is of the same order as a cubic spline. The rational spline may be used to control the position and shape of a curve. The approximation properties of this spline is studied, and a numerical example is given.
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A rational interpolating spline based on function values is constructed, which is of the same order as a cubic spline. The rational spline may be used to control the position and shape of a curve. The approximation properties of this spline is studied, and a numerical example is given.
Key concepts: Spline interpolation, Spline (mechanical), Cubic Hermite spline, Mathematics, Hermite spline, Smoothing spline, Monotone cubic interpolation, Thin plate spline