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Authors: A. Arnal and A. Lluch

Affiliation: Universitat Jaume I, Spain

ISBN: 978-989-674-026-9

Keyword(s): Coons patches, Functional extremals, Triangular Bézier surfaces, Masks.

Related Ontology Subjects/Areas/Topics: CAGD/CAD/CAM Systems ; Computer Vision, Visualization and Computer Graphics ; Geometry and Modeling ; Surface Modeling

Abstract: In this paper we give some different surface generation methods starting out from prescribed boundary curves. If the boundary control points are known it is natural to think of Coons patches, a popular solution of the problem of finding a surface given its boundary curves. We have developed three methods to generate triangular patches given the boundary curves. First we give a discrete version of the triangular Coons patch. A second method lets us to find the extremals of a functional as a solution of a linear system of the control points. That functional is the one that minimizes the Coons patch. The third method makes it possible to build a Bézier triangle by means of a mask deduced from the characterization of cubical extremals of the functional.

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Paper citation in several formats:
Arnal A.; Lluch A. and (2010). COONS TRIANGULAR BÉZIER SURFACES.In Proceedings of the International Conference on Computer Graphics Theory and Applications - Volume 1: GRAPP, (VISIGRAPP 2010) ISBN 978-989-674-026-9, pages 148-153. DOI: 10.5220/0002848601480153

@conference{grapp10,
author={A. Arnal and A. Lluch},
title={COONS TRIANGULAR BÉZIER SURFACES},
booktitle={Proceedings of the International Conference on Computer Graphics Theory and Applications - Volume 1: GRAPP, (VISIGRAPP 2010)},
year={2010},
pages={148-153},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0002848601480153},
isbn={978-989-674-026-9},
}

TY - CONF

JO - Proceedings of the International Conference on Computer Graphics Theory and Applications - Volume 1: GRAPP, (VISIGRAPP 2010)
TI - COONS TRIANGULAR BÉZIER SURFACES
SN - 978-989-674-026-9
AU - Arnal, A.
AU - Lluch, A.
PY - 2010
SP - 148
EP - 153
DO - 10.5220/0002848601480153

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