APPROXIMATION OF GEOSPATIAL DATA USING THE METHODOLOGY OF PSEUDOINVERSION

Abstract

Geoinformational data approximation problem solution in the case of their inaccuracy and presence of restrictions which are imposed by physical problem substance has been studied. Approximations finding, based on simplified mathematical model in the form of elliptical partial differential equation, by solving inverse problems for it using Green’s functions method and pseudoinvertion methodic, that allows to obtain sets of possible interpolations, has been suggested. On the base of alternating projection method, procedures for choosing solutions from this sets which satisfy restrictions (with result, interpolating or approximating initial data) and take into account initial data measurement inaccuracy, have been proposed. Computational experiment results which show adequacy of obtained interpolation to physical processes have been given.