Surface representation using second, fourth and mixed order partial differential equations

Pages: 250-256

ISBN: 9780769508535

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