The Surface Grid Generation Using Wavelet Modeling
Yang, J. C.; Chang, K. F.; Zeng, B. C.
Numerical Grid Generation in Computational Field Simulations, The International Society of Grid Generation, pp.779-786, September 2000
Department of Applied Mathematics
Feng Chia University
100 Wenhwa Road, Seatwen
Taichung, Taiwan. R.O.C.
e-mail: jcyang@math.fcu.edu.tw
Abstract
In this paper, DLG scheme, a method of recursive (uniform) subdivision, is used to derive the basic smooth curves to form the basic surface grid that passes through the original given surface points. This basic surface grid provides a base of constructing a difference size surface grid with distinct distribution surface grid. The linear transfinite interpolation is used to interpolate the grid point into each cell among the basic smooth curves. The curve approximation/interpolation that is derived by the recursive subdivision scheme has linear-time complexity. This new approach that combines the DLG scheme and the transfinite interpolation to generate the surface grid has better performance than the spline approximation schemes.
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