首页|Constructing Bicubic Coons Surfaces Based on Euler-Lagrange PDE
Constructing Bicubic Coons Surfaces Based on Euler-Lagrange PDE
扫码查看
点击上方二维码区域，可以放大扫码查看
原文链接
NETL
NSTL
This paper presents an optimal method for constructing bicubic Coons surfaces based upon twist vectors at rectangular grid points. These twists are determined by using a new optimal criterion derived from Euler-Lagrange PDE. By applying Euler-Lagrange PDE on every patch and make it independent of surface parameters, a new optimization problem is derived. A linear system with block tridiagonal coefficient matrix is established. The coefficient matrix is the Kronecker product of two identical tridiagonal matrices and its non-singularity is proved. At last, we analyse some numerical and graphic examples in order to show the efficiency of the presented method.
NETL
NSTL
