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Proceedings Paper

Constrained-interior interpolating surfaces
Author(s): G. R. Shevare; S. P. Mudur
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Paper Abstract

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.

Paper Details

Date Published: 1 August 1990
PDF: 10 pages
Proc. SPIE 1251, Curves and Surfaces in Computer Vision and Graphics, (1 August 1990); doi: 10.1117/12.19737
Show Author Affiliations
G. R. Shevare, Indian Institute of Technology (India)
S. P. Mudur, National Ctr. for Software Technology (India)

Published in SPIE Proceedings Vol. 1251:
Curves and Surfaces in Computer Vision and Graphics
Leonard A. Ferrari; Rui J. P. de Figueiredo, Editor(s)

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