Zastosowanie wielomianów ortogonalnych do aproksymacji odwzorowań kartograficznych

In the paper, an approximation method is presented, which uses orthogonal polynomials. Coefficients of polynomials are determined by recurrence formulas on discrete sets of points. Utilization of orthogonal polynomials allows to avoid creation and solving of normal equation systems. In the paper application of the method to map projection approximation function in .1992. system is also presented. The method may be used in geodesy and cartography for obtaining map projection approximation functions, and calculating elementary scale, convergence and geodetic reductions.