Efficient Methods for Isoline Extraction from a Digital Elevation Model based on Triangulated Irregular Networks (1994)
| Venue: | University of Utrecht, the Netherlands |
| Citations: | 15 - 0 self |
BibTeX
@INPROCEEDINGS{Kreveld94efficientmethods,
author = {Marc Van Kreveld},
title = {Efficient Methods for Isoline Extraction from a Digital Elevation Model based on Triangulated Irregular Networks},
booktitle = {University of Utrecht, the Netherlands},
year = {1994},
pages = {835--847}
}
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Abstract
A data structure is presented to store a triangulated irregular network digital elevation model, from which isolines (contour lines) can be extracted very efficiently. If the network is based on n points, then for any elevation, the isolines can be obtained in O(log n + k) query time, where k is the number of line segments that form the isolines. This compares favorably with O(n) time by straightforward computation. When a structured representation of the isolines is needed, the same query time applies. For a fully topological representation (with adjacency), the query requires additional O(c log c) or O(c log log n) time, where c is the number of connected components of isolines. In all three cases, the required data structure has only linear size.
