Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6422587 | Journal of Computational and Applied Mathematics | 2014 | 16 Pages |
Abstract
We present a method for the interpolation of a given sequence of data points with Cn continuous trigonometric spline curves of order n+1 (nâ¥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 αâ(0,Ï) 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 Cn Bézier spline interpolation method as the limiting case αâ0.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Imre Juhász, Ágoston Róth,