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Proceedings Paper

Radial basis function approach to interpolation of large reflecting surfaces
Author(s): Andrew K. Chan; Charles K. Chui; L. T. Guan
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Paper Abstract

In this paper, we present two methods to interpolate the numerical data that describe the reflector surface. The first method is a local method which expresses the surface as a finite series of optimal local spline interpolants with the data values being the coefficient of the spline series. The surface parameters can be efficiently computed by table look up. Without further modification, this method can only be applied to gridded data. The second method is a global method expressing the surface as a series of radial basis functions. The coefficients of the series are determined by solving a simple matrix equation. The matrix of the system is generally full and the computational efficiency is low. However, this method is applicable to surface interpolation from scattered data.

Paper Details

Date Published: 1 August 1990
PDF: 11 pages
Proc. SPIE 1251, Curves and Surfaces in Computer Vision and Graphics, (1 August 1990); doi: 10.1117/12.19733
Show Author Affiliations
Andrew K. Chan, Texas A&M Univ. (United States)
Charles K. Chui, Texas A&M Univ. (United States)
L. T. Guan, Texas A&M Univ. (United States)

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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