Generating blending surfaces with an iterative solution to fourth order PDE

This source preferred by Jian Jun Zhang and Lihua You

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

http://ieeexplore.ieee.org/iel5/8649/27410/01219667.pdf?arnumber=1219667

Start date: 16 July 2003

Publisher: IEEE Computer Society Press

Place of Publication: Alamitos,

In this paper, we develop an efficient method for surface blending. It is based on our previously proposed fourth order partial differential equation (PDE) with three vector-valued shape parameters. In order to solve this PDE efficiently, we have previously developed a closed form resolution method. However, a closed form solution only exists in a small number of situations, and therefore the application of a closed form solution based method is limited. By transforming the original PDE into an algebra equation, we can achieve an approximate closed form solution. The examples given in this paper indicate that the developed method can generate blending surfaces almost as accurately and quickly as the closed form solution. In addition, it can deal with any combinations of the shape parameters and greatly facilitate the computer programming of various surface blending tasks.

This data was imported from DBLP:

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

http://ieeexplore.ieee.org/xpl/mostRecentIssue.jsp?punumber=8649

Journal: GMAG

Pages: 62-68

Publisher: IEEE Computer Society

DOI: 10.1109/GMAG.2003.1219667

This data was imported from Scopus:

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

Journal: Proceedings - 2003 International Conference on Geometric Modeling and Graphics, GMAG 2003

Pages: 62-68

ISBN: 9780769519852

DOI: 10.1109/GMAG.2003.1219667

© 2003 IEEE. In this paper, we develop an efficient method for surface blending. It is based on our previously proposed fourth order partial differential equation (PDE) with three vector-valued shape parameters. In order to solve this PDE efficiently, we have previously developed a closed form resolution method. However, a closed form solution only exists in a small number of situations, and therefore the application of a closed form solution based method is limited. By transforming the original PDE into an algebra equation, we can achieve an approximate closed form solution. The examples given in this paper indicate that the developed method can generate blending surfaces almost as accurately and quickly as the closed form solution. In addition, it can deal with any combinations of the shape parameters and greatly facilitate the computer programming of various surface blending tasks.

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

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

Journal: 2003 INTERNATIONAL CONFERENCE ON GEOMETRIC MODELING AND GRAPHICS, PROCEEDINGS

Pages: 62-68

The data on this page was last updated at 05:09 on February 24, 2020.