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01-Applied Mathematics & Information Sciences
An International Journal
               
 
 
 
 
 
 
 
 
 
 
 

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Volumes > Volume 10 > No. 1

 
   

Exponential Parameterization and ε-Uniformly Sampled Reduced Data

PP: 33-48
doi:10.18576/amis/100104
Author(s)
Ryszard Kozera, Lyle Noakes,
Abstract
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.

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