On geometric interpolation of circle-like curves

In this paper, geometric interpolation of certain circle-like curves by parametric polynomial curves is studied. It is shown that such an interpolating curve of degree n achieves the optimal approximation order 2 n, the fact already known for particular small values of n. Furthermore, numerical experiments suggest that the error decreases exponentially with growing n. Key words: Interpolation, Approximation, Parametric curve, Circular arc.

• Type: Journal
• Year: 2007
• Where: CAGD
• Authors: Gasper Jaklic, Jernej Kozak, Marjeta Krajnc, Emil Zagar
• Keywords: CAGD 2007, Certain Circle-like Curves, Optimal Approximation Order, Particular Small Values