Exponential parameterization and e -uniformly sampled reduced data

R. Kozera; Lyle Noakes

doi:10.18576/amis/100104

Exponential parameterization and e -uniformly sampled reduced data

R. Kozera, Lyle Noakes

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

© 2016 NSP Natural Sciences Publishing Cor. 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.

Original language	English
Pages (from-to)	33-48
Number of pages	16
Journal	Applied Mathematics and Information Sciences
Volume	10
Issue number	1
DOIs	https://doi.org/10.18576/amis/100104
Publication status	Published - 2016

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10.18576/amis/100104

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Exponential parameterization and e -uniformly sampled reduced data

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