Share Email Print

Proceedings Paper

A new compound algorithm study for Delaunay triangulation construction
Author(s): Yikang Rui; Jiechen Wang; Chenhui Qian; Jie Liu; Xinliang Li
Format Member Price Non-Member Price
PDF $14.40 $18.00

Paper Abstract

Delaunay triangulation is always used to construct TIN, and is also widely applied in manifold fields, for it can avoid long and skinny triangles resulting in a nice looking map. A wide variety of algorithms have been proposed to construct delaunay triangulation, such as divide-and-conquer, incremental insertion, trangulation growth, and so on. The compound algorithm is also researched to construct delaunay triangulation, and prevalently it is mainly based on divide-and-conquer and incremental insertion algorithms. This paper simply reviews and assesses sweepline and divide-and-conquer algorithms, based on which a new compound algorithm is provided after studying the sweepline algorithm seriously. To start with, this new compound algorithm divides a set of points into several grid tiles with different dividing methods by divide-and-conquer algorithm, and then constructs subnet in each grid tile by sweepline algorithm. Finally these subnets are recursively merged into a whole delaunay triangulation with a simplified efficient LOP algorithm. Because topological structure is important to temporal and spatial efficiency of this algorithm, we only store data about vertex and triangle, thus edge is impliedly expressed by two adjacent triangles. In order to fit two subnets merging better, we optimize some data structure of sweepline algorithm. For instance, frontline and baseline of triangulation are integrated into one line, and four pointers point to where maximum and minimum of x axis and y axis are in this outline. The test shows that this new compound algorithm has better efficiency, stability and robustness than divide-and-conquer and sweepline algorithms. Especially if we find the right dividing method reply to different circumstance,its superiority is remarkable.

Paper Details

Date Published: 1 August 2007
PDF: 8 pages
Proc. SPIE 6751, Geoinformatics 2007: Cartographic Theory and Models, 67510B (1 August 2007); doi: 10.1117/12.759487
Show Author Affiliations
Yikang Rui, Nanjing Univ. (China)
Jiechen Wang, Nanjing Univ. (China)
Chenhui Qian, Nanjing Univ. (China)
Jie Liu, Nanjing Univ. (China)
Xinliang Li, Nanjing Univ. (China)

Published in SPIE Proceedings Vol. 6751:
Geoinformatics 2007: Cartographic Theory and Models

© SPIE. Terms of Use
Back to Top