Modeling in n dimensions using a weighting function approach Academic Article uri icon


  • A general technique for mathematically modeling n-dimensional geodetic phenomena with arbitrary order continuity is developed. The mathematical model, or approximation, of the geodetic function is a globally valid model composed of an arbitrarily large family of locally valid continuously joining functions. Each local approximation is valid over a hypercube in n space, constructed so that adjacent approximations join with mth order continuity satisfied throughout the model. This technique is based on a unique set of polynomial weighting functions; analytic formulas for the weighting functions for n-dimensional mth order continuous modeling are derived and presented.

author list (cited authors)

  • Jancaitis, J. R., & Junkins, J. L.

publication date

  • January 1, 1974 11:11 AM