Computer Executed Production of a Regular Grid of Height Points from Digital Contours

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Abstract
One of the most frequently used sources of digital terrain models are digitized contours of topographical maps. Using computer algorithms these contour-polygons serve as input for the interpolation of a matrix of height points. This article describes a possible methodology for such an interpolation procedure. For each point of the required DTM vertical profiles of the terrain—as defined by the contours—are computed. The number of profiles can be chosen at will. For the examples of this article (PROGRAM MATCON) profiles in at least four directions are computed and the height of each DTM point is found as the weighted average of the heights of this point on each of the four profiles. This approach enables the computation of both a mean square error for each DTM point and, consequently, an average mean square error of the whole DTM.

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