# 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.

#### References

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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