Radial basis function approach to interpolation of large reflecting surfaces

Andrew K. Chan; Charles K. Chui; L. T. Guan

doi:10.1117/12.19733

1 August 1990 Radial basis function approach to interpolation of large reflecting surfaces

Andrew K. Chan, Charles K. Chui, L. T. Guan

Proceedings Volume 1251, Curves and Surfaces in Computer Vision and Graphics; (1990) https://doi.org/10.1117/12.19733
Event: Electronic Imaging: Advanced Devices and Systems, 1990, Santa Clara, CA, United States

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.

Citation Download Citation

Andrew K. Chan, Charles K. Chui, and 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); https://doi.org/10.1117/12.19733

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