Provider: Ingenta Connect
Database: Ingenta Connect
Content: application/x-research-info-systems
TY - ABST
AU - Žalik, Borut
AU - Kolingerová, Ivana
TI - An incremental construction algorithm for Delaunay triangulation using the nearest-point paradigm
JO - International Journal of Geographical Information Science
PY - 2003-03-01T00:00:00///
VL - 17
IS - 2
SP - 119
EP - 138
N2 - This paper introduces a new algorithm for constructing a 2D Delaunay triangulation. It belongs to the class of incremental insertion algorithms, which are known as less demanding from the implementation point of view. The most time consuming step of the incremental insertion algorithms is locating the triangle containing the next point to be inserted. In this paper, this task is transformed to the nearest point problem, which is solved by a two-level uniform subdivision acceleration technique. Dependencies on the distribution of the input points are reduced using this technique. The algorithm is compared with other popular triangulation algorithms: two variants of Guibas, Knuth, and Sharir's incremental insertion algorithm, two different implementations of Mücke's algorithm, Fortune's sweep-line algorithm, and Lee and Schachter's divide and conquer algorithm. The following point distributions are used for tests: uniform, regular, Gaussian, points arranged in clusters, and real data sets from a GIS database. Among all tested algorithms, the divide and conquer approach turns out to be the best. The proposed algorithm is the second fastest except for input points with highly non-uniform distribution. As implementation of the algorithm is simple, it represents an attractive alternative to other Delaunay triangulation algorithms used in practice.
UR - https://www.ingentaconnect.com/content/tandf/tgis/2003/00000017/00000002/art00002
M3 - doi:10.1080/713811749
UR - https://doi.org/10.1080/713811749
ER -