A LEAST-SQUARE COMPUTATION METHOD FOR SMOOTHING AND DIFFERENTIATION OF TWO-DIMENSIONAL DATA

Abstract

A computation method to smooth and differentiate data of the z=/(x, y) kind is introduced. Requiring only that the datapoints be equi-distant in x and equi-distant in y, smoothing parameters can be calculated for general use. The greatest advantage of the method is that even higher-level mixed partial derivatives can be calculated directly from the datapoints.