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What is Delaunay Method

Chapter 44
Handbook of Research on Innovations in Database Technologies and Applications: Current and Future Trends
A set P of points in the plane is a triangulation DT(P) such that no point in P is inside the circum circle of any triangle in DT(P). Delaunay triangulations maximize the minimum angle of all the angles of the triangles in the triangulation; they tend to avoid «sliver» triangles. The triangulation was invented by Boris Delaunay in 1934.
Published in Chapter:
Geometric Quality in Geographic Information IFSAR DEM Control
José Francisco Zelasco (Universidad de Buenos Aires, Argentina), Judith Donayo (Universidad de Buenos Aires, Argentina), Kevin Ennis (Universidad de Buenos Aires, Argentina), and José Luís Fernandez Ausinaga (Universidad de Buenos Aires, Argentina)
Copyright: © 2009 |Pages: 7
DOI: 10.4018/978-1-60566-242-8.ch044
Abstract
Both this, article II and another one, article I, titled “Geometric Quality In Geographic Information” published in this encyclopedia propose the theoretical aspects of the method to evaluate the geometric integrity of Digital Elevation Models obtained by different techniques and therefore, different stochastic hypotheses are considered. In the article I we considerer the classical topographic or aerial photogrammetry stereo images method (included ASTER or SPOT images) and we assume consistent stochastic hypotheses. In this Article II we consider IFSAR techniques and the stochastic hypotheses are specific according to the particular geometry involved in this technique.
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