In this paper, we present a new method to improve the efficiency of physics-based surface modeling which creates and manipulates surfaces through physics-based curve deformations. The proposed physics-based mathematical model of curve deformations consists of a vector-valued fourth order ordinary differential equation and boundary constraints. An efficient finite difference solution […]
Solid modelling based on sixth order partial differential equations
Although solid modelling based on partial differential equations (PDEs) has many advantages, such existing methods can either only deal with simple cases or incur expensive computational overheads. To overcome these shortcomings, in this paper we present an efficient PDE based approach to creating and manipulating solid models. With trivariate partial […]