Constrained-interior interpolating surfaces
G. R. Shevare, Sudhir P. Mudur · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 1990
Transfinite interpolation techniques have been extended to cover rectangular patches having interior constraints. Interior constraints are specified along isoparametric lines defined partly are wholly over the parametric range. The technique helps incorporate additional data for controlling both the shape and parainetrisation of the interior of a surface. An immediate application for the technique is found in the area of computational fluid dynamics (CFD) where these techniques are used to discretise the computational domain. In CFD the isopararnetric surfaces are made to coincide with the boundary of domain and fluid dynamic data at grid points (Points of intersection of isoparametric lines) is computed by solving partial differential equations governing fluid flow. The technique suggested in this paper gives powerful control over the grid generation process. The use of this technique is demonstrated by interpolating doubly curved analytical surfaces such as ellipsoids using contour plots for comparison.