REPRESENTATION OF 3-D ELEVATION IN TERRAIN DATABASES USING HIERARCHICAL TRIANGULATED IRREGULAR NETWORKS:
A COMPARATIVE ANALYSIS

M. Abdelguerfi    C. Wynne    E. Cooper
Computer Science Department
University of New Orleans, LA USA
R. Ladner    K. Shaw
Naval Research Laboratory
Stennis Space Center, MS 39529-5004

Abstract

3-D terrain representation plays an important role in a number of terrain database applications. Hierarchical Triangulated Irregular Networks (TINs) provide a variable-resolution terrain representation that is based on a nested triangulation of the terrain. This paper compares and analyzes existing hierarchical triangulation techniques. The comparative analysis takes into account how aesthetically appealing and accurate the resulting terrain representation is. Parameters such as adjacency, slivers, and streaks, are used to provide a measure on how aesthetically appealing the terrain representation is. Slivers occur when the triangulation produces thin and slivery triangles. Streaks appear when there are too many triangulations done at a given vertex. Simple mathematical expressions are derived for these parameters, thereby providing a fairer and a more easily duplicated comparison. In addition to meeting the adjacency requirement an aesthetically pleasant hierarchical TINs generation algorithm is expected to reduce both slivers and streaks while maintaining accuracy. A comparative analysis of a number of existing approaches shows that a variant of a method originally proposed by Scarlatos exhibits better overall performance.

Sponsored by National Imagery and Mapping Agency and Defense Modeling Simulation Office.

Published in the Int. J. Geographical Information Science, December 1998, Vol. 12, No. 8, 853-873.
Journal Article