Modeling inndimensions 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.

published proceedings

  • Journal of Geophysical Research

author list (cited authors)

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

citation count

  • 13

complete list of authors

  • Jancaitis, James R||Junkins, John L

publication date

  • August 1974