A New Fitting Scattered Data Method based on the Criterion of Geometric Distance

Abstract

The traditional data fitting method based on least square method is not good for vector data fitting whose independent variable is random. So this paper proposes a new criterion of data fitting which is the least quadratic sum of geometrical distance, and brings forward the new fitting scattered data method based on the new criterion. At the same time the paper puts forward the optimization algorithm for the solution of the data fitting parameter. Simulation experiments show that the fitting precision of the new method is higher than the one of least square method for data fitting of vector, whose independent variable is random.