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
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.