Differential Equation Based Geometric Modelling and Computer Animation

Photograph of Lihua You

Lihua You

(National Centre for Computer Animation, Bournemouth University)

Geometric modelling and computer animation based on solutions to differential equations have some advantages such as exact satisfaction of boundary constraints and unified description of geometric and physical attributes. In order to develop this modelling approach, we introduce physical properties into deformations and motion of objects, present mathematical models based on ordinary and partial differential equations, propose various resolution methods, discuss how geometric constraints, material properties and external forces affect deformations of objects, and investigate the applications of the proposed approach in wire modelling, surface generation, surface blending, surface manipulation, solid modelling and computer animation.

Dr. L. H. You is a senior research fellow of National Centre for Computer Animation, Bournemouth University. His research interest is physics based computer graphics which includes elastic muscle deformation, ordinary differential equation based wire modelling, partial differential equation based surface modelling, solid modelling and dynamic modelling.
Tuesday 2nd May 2006, 14:00
Robert Recorde Room
Department of Computer Science