DocumentCode :
3273320
Title :
Fourth order PDE blends
Author :
You, Lihua ; Zhang, Jian J.
Author_Institution :
Nat. Centre for Comput. Animation, Bournemouth Univ., UK
fYear :
2004
fDate :
14-16 July 2004
Firstpage :
1013
Lastpage :
1019
Abstract :
It has been reported a fourth order partial differential equation is effective in solving surface blending problems. In this paper, we present a new approximate solution to the fourth order partial differential equation and apply it to a number of surface blending tasks. The approximate solution consists of two parts: a blended part of boundary functions is used to accurately satisfy the original boundary conditions that define the blending surfaces; and a bivariate polynomial with zeroed boundary conditions, which is used to minimize the error of the fourth order partial differential equation. Using the developed method, a number of examples are investigated to demonstrate the applications of the proposed method in surface blending.
Keywords :
computational geometry; partial differential equations; fourth order PDE blends; modified bivariate polynomial solution; partial differential equation; surface blending; zeroed boundary conditions; Animation; Boundary conditions; Differential equations; Geometry; Mathematical model; Partial differential equations; Polynomials; Reverse engineering; Solid modeling;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Information Visualisation, 2004. IV 2004. Proceedings. Eighth International Conference on
ISSN :
1093-9547
Print_ISBN :
0-7695-2177-0
Type :
conf
DOI :
10.1109/IV.2004.1320266
Filename :
1320266
Link To Document :
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