Modeling and Contouring Irregular Surfaces Subject to Constraints.

摘要

The purpose of the work under this contract was the development of mathematical techniques and associated computer software for constraining mathematical models of topographic surfaces to agree with digitized stream,road,lake surface and boundary,and (automatically detected) peak data;so that computer generated contours extracted from these mathematical models would correctly reflect the presence of these features. This research and development effort has resulted in the following major accomplishments:The weighting function interpolation technique, WIT;interpolation and approximation theorems for WIT;sequential least squares techniques applied to control constraints;software for CONtouring via the Surface Averaging Concept, CONSAC;general purpose data editing software, GDES;analytic investigation of stream constraint;preliminary digital data analysis software, SIMCON and THREED;numerical investigation of the data compaction properties of WIT.