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Erschienen in:
2005 | OriginalPaper | Buchkapitel
An Efficient Natural Neighbour Interpolation Algorithm for Geoscientific Modelling
verfasst von : Hugo Ledoux, Christopher Gold
Erschienen in: Developments in Spatial Data Handling
Verlag: Springer Berlin Heidelberg
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Although the properties of natural neighbour interpolation and its usefulness with scattered and irregularly spaced data are well-known, its implementation is still a problem in practice, especially in three and higher dimensions. We present in this paper an algorithm to implement the method in two and three dimensions, but it can be generalized to higher dimensions. Our algorithm, which uses the concept of flipping in a triangulation, has the same time complexity as the insertion of a single point in a Voronoi diagram or a Delaunay triangulation.