The Open Cybernetics & Systemics Journal

2010, 4 : 1-5
Published online 2010 January 5. DOI: 10.2174/1874110X01004010001
Publisher ID: TOCSJ-4-1

Fast Cardinal Interpolation

Eric M. Guild , Eric C. Like and Steven C. Gustafson
Air Force Institute of Technology, AFIT/ENG, Wright-Patterson AFB, OH 45433, USA.

ABSTRACT

A computationally fast and optimally smooth method for generating a probability density of y given x that models given data points is described and illustrated. This method interpolates in that the mean function intersects the points and the variance function is zero at the points. It is fast and optimal in that it is produced by the smallest number of maximally-smooth Gaussian radial interpolators for which the extrapolated density has the mean and variance of the classic linear model.