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Exponential Parameterization and ε-Uniformly Sampled Reduced Data |
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PP: 33-48 |
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doi:10.18576/amis/100104
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Author(s) |
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Ryszard Kozera,
Lyle Noakes,
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Abstract |
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| 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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