MODELING IN N DIMENSIONS USING A WEIGHTING FUNCTION APPROACH Academic Article

abstract

• 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.

authors

• Junkins, John

published proceedings

• JOURNAL OF GEOPHYSICAL RESEARCH

author list (cited authors)

• JANCAITIS, J. R., & JUNKINS, J. L.

citation count

• 13

complete list of authors

• JANCAITIS, JR||JUNKINS, JL

publication date

• August 1974

publisher

• American Geophysical Union (AGU)  Publisher

published in

• Journal of Geophysical Research  Journal

keywords

• 49 Mathematical Sciences
• 4901 Applied Mathematics

Digital Object Identifier (DOI)

• 10.1029/JB079i023p03361

start page

• 3361

end page

• 3366

volume

• 79

issue

• 23

URL

• http://dx.doi.org/10.1029/jb079i023p03361