A Quartic Clough-Tocher Interpolant

Xiang Fang, Stephen Mann

2018

Abstract

In this paper we present a quartic version of the Clough-Tocher scheme for Hermite interpolation of functional data. This variation uses least squares to minimize discontinuities across the macro-patch boundaries, as well as adjusting one of the macro-boundary control points. The resulting surfaces have significantly better shape than a cubic version of Clough-Tocher that also used least squares to minimize discontinuities across patch boundaries. We compare our method to this cubic version of Clough-Tocher using shaded images and Gaussian curvature plots.

Paper Citation

in Harvard Style

Fang X. and Mann S. (2018). A Quartic Clough-Tocher Interpolant. In Proceedings of the 13th International Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications (VISIGRAPP 2018) - Volume 1: GRAPP; ISBN 978-989-758-287-5, SciTePress, pages 199-206. DOI: 10.5220/0006547201990206

in Bibtex Style

@conference{grapp18,
author={Xiang Fang and Stephen Mann},
title={A Quartic Clough-Tocher Interpolant},
booktitle={Proceedings of the 13th International Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications (VISIGRAPP 2018) - Volume 1: GRAPP},
year={2018},
pages={199-206},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0006547201990206},
isbn={978-989-758-287-5},
}

in EndNote Style

TY - CONF

JO - Proceedings of the 13th International Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications (VISIGRAPP 2018) - Volume 1: GRAPP
TI - A Quartic Clough-Tocher Interpolant
SN - 978-989-758-287-5
AU - Fang X.
AU - Mann S.
PY - 2018
SP - 199
EP - 206
DO - 10.5220/0006547201990206
PB - SciTePress