Local Point Control of a New Rational Quartic Interpolating Spline

Zhi Liu, Kai Xiao, Xiaoyan Liu, Ping Jiang

Abstract

A new rational quartic interpolating spline based on function values is constructed. The rational quartic interpolating spline curves have simple and explicit representation with parameters. The monotonicity-preserving, C2 continuity and boundedness of rational quartic interpolating spline curves are confirmed. Function value control and derivative value control of rational quartic interpolation spline are given respectively. The advantage of these control methods is that they can be applied to modifying the local shape of interpolating curve only by selecting suitable parameters according to the practical requirements.

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Paper Citation


in Harvard Style

Liu Z., Xiao K., Liu X. and Jiang P. (2016). Local Point Control of a New Rational Quartic Interpolating Spline . In Proceedings of the 6th International Conference on Simulation and Modeling Methodologies, Technologies and Applications - Volume 1: SIMULTECH, ISBN 978-989-758-199-1, pages 165-171. DOI: 10.5220/0005959801650171


in Bibtex Style

@conference{simultech16,
author={Zhi Liu and Kai Xiao and Xiaoyan Liu and Ping Jiang},
title={Local Point Control of a New Rational Quartic Interpolating Spline},
booktitle={Proceedings of the 6th International Conference on Simulation and Modeling Methodologies, Technologies and Applications - Volume 1: SIMULTECH,},
year={2016},
pages={165-171},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0005959801650171},
isbn={978-989-758-199-1},
}


in EndNote Style

TY - CONF
JO - Proceedings of the 6th International Conference on Simulation and Modeling Methodologies, Technologies and Applications - Volume 1: SIMULTECH,
TI - Local Point Control of a New Rational Quartic Interpolating Spline
SN - 978-989-758-199-1
AU - Liu Z.
AU - Xiao K.
AU - Liu X.
AU - Jiang P.
PY - 2016
SP - 165
EP - 171
DO - 10.5220/0005959801650171