Title :
A method for generating the trimming PDE surface
Author :
Yu Zhengsheng ; Kong Shi ; Xu Enyou ; Liu Guiyin
Author_Institution :
Inst. of Graphics & Image, Hangzhou Dianzi Univ., Hangzhou, China
Abstract :
A method for trimming surfaces generated as solutions to partial differential equations (PDE) is presented. First we can use the finite difference method to calculate the PDE surface mesh points which were meeting the boundary condition (the boundary curves and the cross-derivative vector). To do this we divide the trimming region in the PDE surface´s parametric region by parametric curve or implicit curve. Then the trimming PDE surface will be mapped out by parametric region after trimming.
Keywords :
computational geometry; finite difference methods; partial differential equations; boundary condition; boundary curves; cross-derivative vector; finite difference method; partial differential equations; trimming surfaces; Boundary conditions; Finite difference methods; Partial differential equations; Finite Difference Method; Grid sequence method; PDE surface; Trimming curve;
Conference_Titel :
Computer-Aided Design and Computer Graphics, 2009. CAD/Graphics '09. 11th IEEE International Conference on
Conference_Location :
Huangshan
Print_ISBN :
978-1-4244-3699-6
Electronic_ISBN :
978-1-4244-3701-6
DOI :
10.1109/CADCG.2009.5246827
