APPROXIMATE G1 CUBIC SURFACES FOR DATA APPROXIMATION

Yingbin Liu; Stephen Mann

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Paper

APPROXIMATE G1 CUBIC SURFACES FOR DATA APPROXIMATION

Topics: Geometric Computing; Modeling and Algorithms; Surface Modeling

In Proceedings of the Third International Conference on Computer Graphics Theory and Applications - Volume 0VISIGRAPP, 39-44, 2008 , Funchal, Madeira, Portugal

Authors: Yingbin Liu and Stephen Mann

Affiliation: University of Waterloo, Canada

Keyword(s): CAGD, Triangular Be´zier patches, Continuity.

Related Ontology Subjects/Areas/Topics: Computer Vision, Visualization and Computer Graphics ; Geometric Computing ; Geometry and Modeling ; Modeling and Algorithms ; Surface Modeling

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.

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Paper citation in several formats:

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 (VISIGRAPP 2008) - GRAPP; ISBN 978-989-8111-20-3; ISSN 2184-4321, SciTePress, pages 39-44. DOI: 10.5220/0001093400390044

@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 (VISIGRAPP 2008) - GRAPP},
year={2008},
pages={39-44},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0001093400390044},
isbn={978-989-8111-20-3},
issn={2184-4321},
}

TY - CONF

JO - Proceedings of the Third International Conference on Computer Graphics Theory and Applications (VISIGRAPP 2008) - GRAPP
TI - APPROXIMATE G1 CUBIC SURFACES FOR DATA APPROXIMATION
SN - 978-989-8111-20-3
IS - 2184-4321
AU - Liu, Y.
AU - Mann, S.
PY - 2008
SP - 39
EP - 44
DO - 10.5220/0001093400390044
PB - SciTePress