We study the quality of piecewise-quadratic Lagrange interpolation for nonparametric data based on e -uniform sampling and different forms of exponential parameterization. Surprisingly, it turns out that there is a sharp discontinuity in the quality of interpolation: exponential parameterization performs no better than a blind uniform guess, except for the case of scaled cumulative chord, which matches parametric interpolation.
Digital Object Identifier (DOI)
Kozera, Ryszard and Noakes, Lyle
"Exponential Parameterization and ε-Uniformly Sampled Reduced Data,"
Applied Mathematics & Information Sciences: Vol. 10
, Article 4.
Available at: https://dc.naturalspublishing.com/amis/vol10/iss1/4