Accession Number : AD0488691

Title :   RECONSTRUCTION OF FUNCTIONS FROM DISCRETE MEAN VALUES,

Corporate Author : OHIO STATE UNIV COLUMBUS DEPT OF GEODETIC SCIENCE AND SURVEYING

Personal Author(s) : Moritz, Helmut

Report Date : JUN 1966

Pagination or Media Count : 23

Abstract : For automatic processing, gravity anomalies and similar quantities are conveniently stored as mean values of standard-sized blocks formed by the grid of geographical coordinates say 5 minutes x 5 minutes or 1 degree x 1 degree. For the most part, these mean values can be directly used in the numerical integrations of physical geodesy. Near the computation point, however, where the integrand frequently becomes singular or nearly so, a more detailed representation of the gravity anomaly function may be necessary. For application to such and other purposes, the present paper considers the approximate reconstruction of the original form of a function of one or two variables from equidistant mean values by various methods, including Bernoulli polynomials and spectral analysis. (Author)

Descriptors :   (*GEODESICS, NUMERICAL ANALYSIS), (*DATA PROCESSING, GEODESICS), (*GRAVITY, ANOMALIES), (*POLYNOMIALS, FUNCTIONS(MATHEMATICS)), APPROXIMATION(MATHEMATICS).

Subject Categories : Geodesy
      Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE