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Authors: Andreas Savva ; Vasso Stylianou and George Portides

Affiliation: School of Sciences and Engineering, University of Nicosia, Cyprus

ISBN: 978-989-8111-20-3

Keyword(s): Splines, Geometric modelling, Curves, Surfaces.

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

Abstract: Sub-division splines generate a number of new control points calculated fron the old control points. Both control polygons/grids define the same curve/surface. At each iteration the resulting new points are much greater in number than the old points and lie nearer to the actual curves. After a number of iterations, the generated points lie on the actual curve, very close to each other, and by displaying them on a computer screen the result is a smooth curve/surface. This paper describes a method, which is an extension to the Bezier sub-division method, where the resulting curve is an approximation curve which interpolates only the first and the last control points. The method is also derived for surfaces.

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Paper citation in several formats:
Savva A.; Stylianou V.; Portides G. and (2008). AN EXTENSION TO THE BEZIER SUB-DIVISION METHOD TO COMPLETELY APPROXIMATE CURVES AND SURFACES.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 143-146. DOI: 10.5220/0001099001430146

@conference{grapp08,
author={Andreas Savva and Vasso Stylianou and George Portides},
title={AN EXTENSION TO THE BEZIER SUB-DIVISION METHOD TO COMPLETELY APPROXIMATE CURVES AND SURFACES},
booktitle={Proceedings of the Third International Conference on Computer Graphics Theory and Applications - Volume 1: GRAPP, (VISIGRAPP 2008)},
year={2008},
pages={143-146},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0001099001430146},
isbn={978-989-8111-20-3},
}

TY - CONF

JO - Proceedings of the Third International Conference on Computer Graphics Theory and Applications - Volume 1: GRAPP, (VISIGRAPP 2008)
TI - AN EXTENSION TO THE BEZIER SUB-DIVISION METHOD TO COMPLETELY APPROXIMATE CURVES AND SURFACES
SN - 978-989-8111-20-3
AU - Savva, A.
AU - Stylianou, V.
AU - Portides, G.
PY - 2008
SP - 143
EP - 146
DO - 10.5220/0001099001430146

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