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Geometric Lagrange Interpolation by Planar Cubic Pythagorean-hodograph Curves
| Content Provider | CiteSeerX |
|---|---|
| Author | Gašper Jaklic ̌, A. Jernej Kozak, A. Marjeta Krajnc, B. |
| Abstract | In this paper, the geometric Lagrange interpolation of four points by planar cubic Pythagorean-hodograph (PH) curves is studied. It is shown that such an interpola-tory curve exists provided that the data polygon, formed by the interpolation points, is convex, and satisfies an additional restriction on its angles. The approximation order is 4. This gives rise to a conjecture that a PH curve of degree n can, under some natural restrictions on data points, interpolate up to n+ 1 points. Key words: planar curve, PH curve, geometric interpolation, Lagrange interpolation |
| File Format | |
| Access Restriction | Open |
| Subject Keyword | Geometric Lagrange Interpolation Interpolation Point Additional Restriction Planar Cubic Pythagorean-hodograph Curve Ph Curve Approximation Order Geometric Interpolation Lagrange Interpolation Planar Curve Interpola-tory Curve Exists Data Polygon Planar Cubic Pythagorean-hodograph Natural Restriction |
| Content Type | Text |