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
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
Source: Web of Science (Lite)
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
Pages: 650-656
ISSN: 1000-9000
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.
http://jcst.ict.ac.cn/cone/cone45.html#paper9
Source: Manual
Preferred by: Jian Jun Zhang and Lihua You
PDE Surface Generation with Combined Closed and Non-Closed Form Solutions.
Authors: Zhang, J.-J. and You, L.
Journal: J. Comput. Sci. Technol.
Volume: 19
Pages: 650-656
DOI: 10.1007/BF02945591
Source: DBLP