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Authors: L. H. You 1 ; H. Ugail 2 ; X. Y. You 3 ; E. Chaudhry 1 and Jian J. Zhang 1

Affiliations: 1 National Centre for Computer Animation, Bournemouth University, United Kingdom ; 2 School of Computing, Informatics and Media, University of Bradford, United Kingdom ; 3 Faculty of Engineering and Computing, Coventry University, United Kingdom

ISBN: 978-989-674-026-9

Keyword(s): Surface Manipulation, Partial Differential Equation, Approximate Analytical Solution.

Related Ontology Subjects/Areas/Topics: Computer Vision, Visualization and Computer Graphics ; Geometry and Modeling ; Modeling and Algorithms ; Physics-Based Modeling ; Surface Modeling

Abstract: In this paper, we present a novel but simple physics based method to manipulate parametric surfaces. This method can deal with local deformations with an arbitrarily complicated boundary shape. We firstly map a deformation region of a 3D surface to a circle on a 2D parametric plane. Then we derive an approximate analytical solution of a set of fourth order partial differential equations subjected to sculpting forces and the boundary conditions of the circle. With the obtained solution, we show how to create a deformed surface and how sculpting forces and the shape control parameters affect the shape of a deformed surface. Finally, we provide some examples to demonstrate the applications of our proposed method in surface manipulation.

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Paper citation in several formats:
H. You L.; Ugail H.; Y. You X.; Chaudhry E.; J. Zhang J. and (2010). MANIPULATION OF PARAMETRIC SURFACES THROUGH A SIMPLE DEFORMATION ALGORITHM.In Proceedings of the International Conference on Computer Graphics Theory and Applications - Volume 1: GRAPP, (VISIGRAPP 2010) ISBN 978-989-674-026-9, pages 84-89. DOI: 10.5220/0002823100840089

@conference{grapp10,
author={L. {H. You} and H. Ugail and X. {Y. You} and E. Chaudhry and Jian {J. Zhang}},
title={MANIPULATION OF PARAMETRIC SURFACES THROUGH A SIMPLE DEFORMATION ALGORITHM},
booktitle={Proceedings of the International Conference on Computer Graphics Theory and Applications - Volume 1: GRAPP, (VISIGRAPP 2010)},
year={2010},
pages={84-89},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0002823100840089},
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 - MANIPULATION OF PARAMETRIC SURFACES THROUGH A SIMPLE DEFORMATION ALGORITHM
SN - 978-989-674-026-9
AU - H. You, L.
AU - Ugail, H.
AU - Y. You, X.
AU - Chaudhry, E.
AU - J. Zhang, J.
PY - 2010
SP - 84
EP - 89
DO - 10.5220/0002823100840089

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