科研之友
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摘要
We present a method for the interpolation of a given sequence of data points with C-n continuous trigonometric spline curves of order n +1 (n >= 1) that are produced by blending elliptical arcs. Ready to use explicit formulae for the control points of the interpolating arcs are also provided. Each interpolating arc depends on a global parameter alpha is an element of (0, pi) that can be used for global shape modification. Associating non-negative weights with data points, rational trigonometric interpolating spline curves can be obtained, where weights can be used for local shape modification. The proposed interpolation scheme is a generalization of the Overhauser spline, and it includes a C-n Bezier spline interpolation method as the limiting case alpha -> 0.
- 出版日期2014-6
