APPROXIMATE G1 CUBIC SURFACES FOR DATA APPROXIMATION

Yingbin Liu, Stephen Mann

2008

Abstract

This paper presents a piecewise cubic approximation method with approximate G1 continuity. For a given triangular mesh of points with arbitrary topology, one cubic triangular Be´zier patch surface is constructed. The resulting surfaces have G1 continuity at the vertex points, but only requires approximate G1 continuity along the macro-patch boundaries so as to lower the patch degree. While our scheme cannot generate the surfaces in as high quality as Loop’s sextic scheme, they are of half the polynomial degree, and of far better shape quality than the results of interpolating split domain schemes.

Paper Citation

in Harvard Style

Liu Y. and Mann S. (2008). APPROXIMATE G1 CUBIC SURFACES FOR DATA APPROXIMATION . In Proceedings of the Third International Conference on Computer Graphics Theory and Applications - Volume 1: GRAPP, (VISIGRAPP 2008) ISBN 978-989-8111-20-3, pages 39-44. DOI: 10.5220/0001093400390044

in Bibtex Style

@conference{grapp08,
author={Yingbin Liu and Stephen Mann},
title={APPROXIMATE G1 CUBIC SURFACES FOR DATA APPROXIMATION},
booktitle={Proceedings of the Third International Conference on Computer Graphics Theory and Applications - Volume 1: GRAPP, (VISIGRAPP 2008)},
year={2008},
pages={39-44},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0001093400390044},
isbn={978-989-8111-20-3},
}

in EndNote Style

TY - CONF
JO - Proceedings of the Third International Conference on Computer Graphics Theory and Applications - Volume 1: GRAPP, (VISIGRAPP 2008)
TI - APPROXIMATE G1 CUBIC SURFACES FOR DATA APPROXIMATION
SN - 978-989-8111-20-3
AU - Liu Y.
AU - Mann S.
PY - 2008
SP - 39
EP - 44
DO - 10.5220/0001093400390044