Hermite Interpolation by Piecewise Cubic Trigonometric Spline with Shape Parameters

Said Hajji, Abdellah Lamnii, Boujemaa Danouj, Mounir Lotfi

2018

Abstract

In this paper, we are studing in depth a new cubic Hermite trigonometric spline interpolation method for curves and surfaces with shape parameters. Based on this model of interpolation, we will give some examples of free-form curves and surfaces, and analyse the effect of different shape parameters on the curve and surface shape. We show that for λ = 1−√2 and α =1/4 the obtained cubic Hermite trigonometric curve or surface is C³ continuous. Finally, we will give an example of application, and we will discuss how the adjustment of the shape parameters affects the shape of freeform surfaces.

Paper Citation

in Harvard Style

Hajji S., Lamnii A., Danouj B. and Lotfi M. (2018). Hermite Interpolation by Piecewise Cubic Trigonometric Spline with Shape Parameters.In Proceedings of the 1st International Conference of Computer Science and Renewable Energies - Volume 1: ICCSRE, ISBN 978-989-758-431-2, pages 277-283. DOI: 10.5220/0009775302770283

in Bibtex Style

@conference{iccsre18,
author={Said Hajji and Abdellah Lamnii and Boujemaa Danouj and Mounir Lotfi},
title={Hermite Interpolation by Piecewise Cubic Trigonometric Spline with Shape Parameters},
booktitle={Proceedings of the 1st International Conference of Computer Science and Renewable Energies - Volume 1: ICCSRE,},
year={2018},
pages={277-283},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0009775302770283},
isbn={978-989-758-431-2},
}

in EndNote Style

TY - CONF

JO - Proceedings of the 1st International Conference of Computer Science and Renewable Energies - Volume 1: ICCSRE,
TI - Hermite Interpolation by Piecewise Cubic Trigonometric Spline with Shape Parameters
SN - 978-989-758-431-2
AU - Hajji S.
AU - Lamnii A.
AU - Danouj B.
AU - Lotfi M.
PY - 2018
SP - 277
EP - 283
DO - 10.5220/0009775302770283