loading
Papers Papers/2022 Papers Papers/2022

Research.Publish.Connect.

Paper

Paper Unlock

Authors: Andreas Savva ; Vasso Stylianou and George Portides

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

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.

CC BY-NC-ND 4.0

Sign In Guest: Register as new SciTePress user now for free.

Sign In SciTePress user: please login.

PDF ImageMy Papers

You are not signed in, therefore limits apply to your IP address 184.72.135.210

In the current month:
Recent papers: 100 available of 100 total
2+ years older papers: 200 available of 200 total

Paper citation in several formats:
Savva, A.; Stylianou, V. and Portides, G. (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 (VISIGRAPP 2008) - GRAPP; ISBN 978-989-8111-20-3; ISSN 2184-4321, SciTePress, 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 (VISIGRAPP 2008) - GRAPP},
year={2008},
pages={143-146},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0001099001430146},
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 - AN EXTENSION TO THE BEZIER SUB-DIVISION METHOD TO COMPLETELY APPROXIMATE CURVES AND SURFACES
SN - 978-989-8111-20-3
IS - 2184-4321
AU - Savva, A.
AU - Stylianou, V.
AU - Portides, G.
PY - 2008
SP - 143
EP - 146
DO - 10.5220/0001099001430146
PB - SciTePress