1 August 1990 Radial basis function approach to interpolation of large reflecting surfaces
Author Affiliations +
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; https://doi.org/10.1117/12.19733


Pyramidal neurovision architecture for vision machines
Proceedings of SPIE (August 20 1993)
Table-driven image transformation engine algorithm
Proceedings of SPIE (April 13 1993)
Fast approximate factor analysis
Proceedings of SPIE (February 01 1992)
Classification using normal curves
Proceedings of SPIE (February 01 1992)
Blending functions for interpolation of networks of curves
Proceedings of SPIE (August 01 1990)
Parametrization of curves and surfaces
Proceedings of SPIE (August 01 1990)

Back to Top