Accession Number:

AD0631670

Title:

ANALYSIS OF A CONTOUR MAP ON A CLOSED SURFACE.

Descriptive Note:

Scientific technical rept.,

Corporate Author:

NEW YORK UNIV N Y LAB FOR ELECTROSCIENCE RESEARCH

Personal Author(s):

Report Date:

1965-09-01

Pagination or Media Count:

39.0

Abstract:

The various components of a contour map are defined, and a point of view is introduced that aids in developing insight into the properties of contour maps. Contour lines are the lines of intersection of a surface with reference surfaces. The contour lines can be classified into four classes positive, negative, maximum, and minimum. If the surface is closed, such as the Earths surface, positive and negative contour lines are always closed curves. Where the surface is perpendicular to the reference surfaces, a cliff is formed. A cliff line on a contour map is characterized by a merger of different contour lines. There is a graphical technique for determining where the various contour lines enter and leave a cliff line. A method exists for truncating the contour map so that it covers only a portion of a closed surface and still maintains the closed-curve property of contour lines. By defining an outer boundary, one is able to talk about the interior and exterior of those contour lines that are closed curves. Lines of slope are lines that are everywhere perpendicular to the contour lines. Slope contour lines are contour lines for the slope of the surface. The former is concerned with the direction of the gradient, the latter with its magnitude. Author

Descriptors:

Subject Categories:

  • Cartography and Aerial Photography

Distribution Statement:

APPROVED FOR PUBLIC RELEASE