Solid modelling based on sixth order partial differential equations

Authors: You, L.H., Chang, J., Yang, X.S. and Zhang, J.J.

Journal: COMPUTER-AIDED DESIGN

Volume: 43

Issue: 6

Pages: 720-729

ISSN: 0010-4485

DOI: 10.1016/j.cad.2011.01.021

Source: Web of Science (Lite)

Solid Modelling with Fourth Order Partial Differential Equation

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

Journal: International Journal of Computers

Volume: 4

Pages: 452-461

Abstract:

A solid modeling method is developed in this paper. In order to satisfy the tangential continuity, a fourth order partial differential equation is proposed and the boundary conditions defining the solid are presented. Since an analytical expression of solid models is the fastest in the geometric modeling, a unified closed form solution to the partial differential equation is sought which accurately satisfies the boundary conditions of solids. A number of examples are presented to demonstrate the applications of the developed method in solid modeling and the effects of vector-valued parameters, force function, geometric parameters and basic functions on the shape of solids.

http://www.naun.org/journals/computers/ijcomputers-109.pdf

Source: Manual

Preferred by: Jian Jun Zhang and Lihua You