MANIPULATION OF PARAMETRIC SURFACES THROUGH A SIMPLE DEFORMATION ALGORITHM

L. H. You, H. Ugail, X. Y. You, E. Chaudhry, Jian J. Zhang

2010

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.

Paper Citation

in Harvard Style

H. You L., Ugail H., Y. You X., Chaudhry E. and J. Zhang J. (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

in Bibtex Style

@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},
}

in EndNote Style

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