Accession Number : AD0751233

Title :   Hilbert Space Techniques for Terrain Data Representation,

Corporate Author : UNIVERSAL DATA SYSTEMS INC WESTMINSTER CALIF

Personal Author(s) : Ellis,Christopher F.

Report Date : 1971

Pagination or Media Count : 68

Abstract : The report presents the results of a theoretical study whose purpose has been to investigate techniques for creating functional representations of discrete data sets, using generalized Hilbert space methods. A primary motivation of the study is the possibility of using such functional representations in place of large discrete data sets, to obtain intermediate values of functions and their partial derivatives in large-scale system simulation. A particular application of functional representations is the modeling of terrain elevation data, in which case it is highly desirable to have a functional form characterized by a relatively small number of terms that can reproduce elevation values with a high degree of accuracy. The report contains an axiomatic discussion of Hilbert space functional representations, and it also presents the results of a sequence of runs with several versions of the HILCON program, which was designed to generate the representations corresponding to specific sets of discrete terrain elevation data. (Author)

Descriptors :   (*TERRAIN, FUNCTIONAL ANALYSIS), (*COMPUTER PROGRAMS, INSTRUCTION MANUALS), HILBERT SPACE, CAUCHY PROBLEM, DATA PROCESSING, MAPPING, NUMERICAL INTEGRATION, TRANSFORMATIONS(MATHEMATICS), COMPLEX VARIABLES, ANALYTIC FUNCTIONS, FOURIER ANALYSIS, MATRICES(MATHEMATICS), VECTOR SPACES

Subject Categories : Cartography and Aerial Photography
      Theoretical Mathematics
      Computer Programming and Software

Distribution Statement : APPROVED FOR PUBLIC RELEASE