Authors:
L. H. You
1
;
H. Ugail
2
;
B. P. Tang
3
;
X. Y. You
4
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
College of Mechanical Engineering, Chongqing University, China
;
4
Faculty of Engineering and Computing, Coventry University, United Kingdom
Keyword(s):
Surface Blending, Controllable Shapes, Vector-valued Fourth Order Ordinary Differential Equation.
Related
Ontology
Subjects/Areas/Topics:
Computer Vision, Visualization and Computer Graphics
;
Geometry and Modeling
;
Modeling and Algorithms
;
Surface Modeling
Abstract:
In this paper, we propose a novel sweeping surface based blending method. A generator defined by the solution of a vector-valued fourth order ordinary differential equation is swept along the two trimlines, which meets the boundary tangent constraints of the primary surfaces at the trimlines. The blending surface generated therefore satisfies both the positional and tangential continuity constraints at the interfaces between the primary surfaces and the blending surface. Since the vector-valued shape control parameters are embedded in the blending surface, its shape can be effectively controlled and manipulated by adjusting these vector-valued shape control parameters. Several surface blending examples are given to demonstrate the applications of the proposed method.