Surface representation using second, fourth and mixed order partial differential equations
Authors: Zhang, J.J. and You, L.
Pages: 250-256
DOI: 10.1109/SMA.2001.923396
Abstract:Partial differential equations (PDEs) are powerful tools for the generation of free-form surfaces. In this paper, techniques of surface representation using PDEs of different orders are investigated. In order to investigate the real-time performance and capacity of surface generation based on the PDE method, the forms of three types of partial differential equations are put forward, which are the second, mixed and fourth order PDEs. The closed form solutions of these PDEs are derived. The advantages and disadvantages of each of them are discussed. A number of examples are given to demonstrate the use and effectiveness of the techniques. © 2001 IEEE.
Source: Scopus
Surface representation using second, fourth and mixed order partial differential equations
Authors: Zhang, J.J. and You, L.H.
Pages: 250-+
DOI: 10.1109/SMA.2001.923396
Source: Web of Science (Lite)
Surface representation using second, fourth and mixed order partial differential equations
Authors: Zhang, J.J. and You, L.H.
Pages: 250-256
Publisher: IEEE
DOI: 10.1109/SMA.2001.923396
Abstract:Partial differential equations (PDEs) are powerful tools for the generation of free-form surfaces. In this paper, techniques of surface representation using PDEs of different orders are investigated. In order to investigate the real-time performance and capacity of surface generation based on the PDE method, the forms of three types of partial differential equations are put forward, which are the second, mixed and fourth order PDEs. The closed form solutions of these PEDs are derived. The advantages and disadvantages of each of them are discussed. A number of examples are given to demonstrate the use and effectiveness of the techniques.
Source: Manual
Preferred by: Jian Jun Zhang and Lihua You
Surface Representation Using Second, Fourth and Mixed Order Partial Differential Equations.
Authors: Zhang, J.J. and You, L.
Pages: 250-256
Publisher: IEEE Computer Society
DOI: 10.1109/SMA.2001.923396
https://ieeexplore.ieee.org/xpl/conhome/7349/proceeding
Source: DBLP