PDE surface generation with combined closed and non-closed form solutions

Authors: Zhang, J.J. and You, L.H.

Journal: Journal of Computer Science and Technology

Volume: 19

Issue: 5

Pages: 650-656

ISSN: 1000-9000

DOI: 10.1007/BF02945591

Abstract:

Partial differential equations (PDEs) combined with suitably chosen boundary conditions are effective in creating free form surfaces. In this paper, a fourth order partial differential equation and boundary conditions up to tangential continuity are introduced. The general solution is divided into a closed form solution and a non-closed form one leading to a mixed solution to the PDE. The obtained solution is applied to a number of surface modelling examples including glass shape design, vase surface creation and arbitrary surface representation.

Source: Scopus