Accession Number:

AD0668707

Title:

Geography and the Properties of Surfaces. A Two-Dimensional Interpolation Function for Computer Mapping of Irregularly Spaced data,

Descriptive Note:

Corporate Author:

HARVARD UNIV CAMBRIDGE MASS LAB FOR COMPUTER GRAPHICS

Personal Author(s):

Report Date:

1968-03-20

Pagination or Media Count:

21.0

Abstract:

Techniques of interpolating from irregularly spaced known function values in two dimensions are discussed. First, a function defined as a weighted average of the given function values, with the weighting based on the inverse distance from the corresponding points, is explored. To shorten computation and improve the quality of interpolation, additional terms based on distances, directions and slopes are added. An interpolation function everywhere continuously differentiable and fitting the data exactly is finally presented. A provision for barriers to interpolation is described for applications in geographical analysis. The interpolation function has been incorporated into a computer mapping program in FORTRAN called SYMAP Versions IV and V. Author

Subject Categories:

  • Cartography and Aerial Photography
  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE