An efficient approach for surface creation

Authors:
L. H. You;Jian J. Zhang
Affiliations:
National Centre for Computer Animation, Bournemouth University, UK;National Centre for Computer Animation, Bournemouth University, UK
Venue:
ICCSA'05 Proceedings of the 2005 international conference on Computational Science and Its Applications - Volume Part III
Year:
2005

Citing 7
Cited 0

Free-form deformation of solid geometric models

SIGGRAPH '86 Proceedings of the 13th annual conference on Computer graphics and interactive techniques
Representing PDE surfaces in terms of B-splines

Computer-Aided Design
Using partial differential equations to generate free-form surfaces: 91787

Computer-Aided Design
Extended free-form deformation: a sculpturing tool for 3D geometric modeling

SIGGRAPH '90 Proceedings of the 17th annual conference on Computer graphics and interactive techniques
Curves and Surfaces for Computer-Aided Geometric Design: A Practical Code

Curves and Surfaces for Computer-Aided Geometric Design: A Practical Code
Blending surface generation using a fast and accurate analytical solution of a fourth-order PDE with three shape control parameters

The Visual Computer: International Journal of Computer Graphics
On harmonic and biharmonic Bézier surfaces

Computer Aided Geometric Design

Quantified Score

Hi-index	0.00

Visualization

Abstract

In this paper, we present an efficient method for generation of free from surfaces using the solution to a fourth order partial differential equation. In the interest of computational efficiency, the surface function is taken to be the combination of the boundary functions modulated by some unknown functions. Making use of the properties of boundary functions, the fourth order partial differential equation is transformed into a fourth order ordinary differential equation. To solve this equation, we further convert it to a set of one-dimensional finite difference equations where the number of unknowns is reduced significantly allowing fast surface generation.