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

This source preferred by Jian Jun Zhang and Lihua You

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

Pages: 250-256

Publisher: IEEE

DOI: 10.1109/SMA.2001.923396

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.

This data was imported from DBLP:

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

http://ieeexplore.ieee.org/xpl/mostRecentIssue.jsp?punumber=7349

Pages: 250-256

Publisher: IEEE Computer Society

DOI: 10.1109/SMA.2001.923396

This data was imported from Scopus:

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

Pages: 250-256

ISBN: 9780769508535

DOI: 10.1109/SMA.2001.923396

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.

This data was imported from Web of Science (Lite):

Authors: Zhang, J.J., You, L.H. and SOCIETY, I.C.

Pages: 250-+

DOI: 10.1109/SMA.2001.923396

The data on this page was last updated at 05:30 on November 25, 2020.