Exponential parameterization and ε -uniformly sampled reduced data

R. Kozera; Lyle Noakes

doi:10.1063/1.4912892

Exponential parameterization and ε -uniformly sampled reduced data

Research output: Chapter in Book/Conference paper › Conference paper › peer-review

Abstract

© 2015 AIP Publishing LLC. We study the quality of piecewise-Lagrange interpolation for non-parametric data based on ε-uniform samplings 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
Title of host publication	AIP Conference Proceedings: Proceedings of the International Conference on Numerical Analysis and Applied Mathematics 2014
Place of Publication	Greece
Publisher	International Conference of Numerical Analysis and Applied Mathematics
Pages	660016-1 - 660016-4
Volume	1648
ISBN (Print)	9780735412873
DOIs	https://doi.org/10.1063/1.4912892
Publication status	Published - 2015
Event	International Conference on Numerical Analysis and Applied Mathematics 2014, ICNAAM 2014 - Rhodes, Greece Duration: 22 Sep 2014 → 28 Sep 2014

Conference

Conference	International Conference on Numerical Analysis and Applied Mathematics 2014, ICNAAM 2014
Country/Territory	Greece
City	Rhodes
Period	22/09/14 → 28/09/14

Access to Document

10.1063/1.4912892

Cite this

Kozera, R., & Noakes, L. (2015). Exponential parameterization and ε -uniformly sampled reduced data. In AIP Conference Proceedings: Proceedings of the International Conference on Numerical Analysis and Applied Mathematics 2014 (Vol. 1648, pp. 660016-1 - 660016-4). International Conference of Numerical Analysis and Applied Mathematics. https://doi.org/10.1063/1.4912892

@inproceedings{94231318c28943c787a8747a34924367,

title = "Exponential parameterization and ε -uniformly sampled reduced data",

abstract = "{\textcopyright} 2015 AIP Publishing LLC. We study the quality of piecewise-Lagrange interpolation for non-parametric data based on ε-uniform samplings 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.",

author = "R. Kozera and Lyle Noakes",

year = "2015",

doi = "10.1063/1.4912892",

language = "English",

isbn = "9780735412873",

volume = "1648",

pages = "660016--1 -- 660016--4",

booktitle = "AIP Conference Proceedings: Proceedings of the International Conference on Numerical Analysis and Applied Mathematics 2014",

publisher = "International Conference of Numerical Analysis and Applied Mathematics",

note = "International Conference on Numerical Analysis and Applied Mathematics 2014, ICNAAM 2014 ; Conference date: 22-09-2014 Through 28-09-2014",

}

Kozera, R & Noakes, L 2015, Exponential parameterization and ε -uniformly sampled reduced data. in AIP Conference Proceedings: Proceedings of the International Conference on Numerical Analysis and Applied Mathematics 2014. vol. 1648, International Conference of Numerical Analysis and Applied Mathematics, Greece, pp. 660016-1 - 660016-4, International Conference on Numerical Analysis and Applied Mathematics 2014, ICNAAM 2014, Rhodes, Greece, 22/09/14. https://doi.org/10.1063/1.4912892

Exponential parameterization and ε -uniformly sampled reduced data. / Kozera, R.; Noakes, Lyle.

AIP Conference Proceedings: Proceedings of the International Conference on Numerical Analysis and Applied Mathematics 2014. Vol. 1648 Greece : International Conference of Numerical Analysis and Applied Mathematics, 2015. p. 660016-1 - 660016-4.

Research output: Chapter in Book/Conference paper › Conference paper › peer-review

TY - GEN

T1 - Exponential parameterization and ε -uniformly sampled reduced data

AU - Kozera, R.

AU - Noakes, Lyle

PY - 2015

Y1 - 2015

N2 - © 2015 AIP Publishing LLC. We study the quality of piecewise-Lagrange interpolation for non-parametric data based on ε-uniform samplings 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.

AB - © 2015 AIP Publishing LLC. We study the quality of piecewise-Lagrange interpolation for non-parametric data based on ε-uniform samplings 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.

U2 - 10.1063/1.4912892

DO - 10.1063/1.4912892

M3 - Conference paper

SN - 9780735412873

VL - 1648

SP - 660016-1 - 660016-4

BT - AIP Conference Proceedings: Proceedings of the International Conference on Numerical Analysis and Applied Mathematics 2014

PB - International Conference of Numerical Analysis and Applied Mathematics

CY - Greece

T2 - International Conference on Numerical Analysis and Applied Mathematics 2014, ICNAAM 2014

Y2 - 22 September 2014 through 28 September 2014

ER -

Exponential parameterization and ε -uniformly sampled reduced data

Abstract

Conference

Access to Document

Fingerprint

Cite this