Generating blending surfaces with an iterative solution to fourth order PDE
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
Abstract: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.
Source: Scopus
Generating blending surfaces with an iterative solution to fourth order PDE
Authors: You, L.H. and Zhang, H.J.
Journal: 2003 INTERNATIONAL CONFERENCE ON GEOMETRIC MODELING AND GRAPHICS, PROCEEDINGS
Pages: 62-68
Source: Web of Science (Lite)
Generating Blending Surfaces with an Iterative Solution to Fourth Order PDE
Authors: You, L.H. and Zhang, J.J.
Conference: Proceedings of the 2003 International Conference on Geometric Modeling and Graphics (GMAG’03)
Dates: 16-18 July 2003
Publisher: IEEE Computer Society Press
Place of Publication: Alamitos,
Abstract: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.
http://ieeexplore.ieee.org/iel5/8649/27410/01219667.pdf?arnumber=1219667
Source: Manual
Preferred by: Jian Jun Zhang and Lihua You
Generating Blending Surfaces with an Iterative Solution to Fourth Order PDE.
Authors: You, L. and Zhang, J.J.
Journal: GMAG
Pages: 62-68
Publisher: IEEE Computer Society
DOI: 10.1109/GMAG.2003.1219667
https://ieeexplore.ieee.org/xpl/conhome/8649/proceeding
Source: DBLP