1 August 1990 Radial basis function approach to interpolation of large reflecting surfaces
Author Affiliations +
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.
© (1990) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Andrew K. Chan, Charles K. Chui, L. T. Guan, "Radial basis function approach to interpolation of large reflecting surfaces", Proc. SPIE 1251, Curves and Surfaces in Computer Vision and Graphics, (1 August 1990); doi: 10.1117/12.19733; http://dx.doi.org/10.1117/12.19733
PROCEEDINGS
11 PAGES


SHARE
KEYWORDS
Reflectors

Computer graphics

Computer vision technology

Machine vision

Visualization

Antennas

Computing systems

Back to Top