By the end of the 21st century, only eight of the 21 cities that have hosted the Winter Olympics are projected to be cold enough to reliably host the Games due to climate change. Challenges faced by Milano Cortina 2026 organisers such as producing artificial snow, establishing transport links between remote locations and building new infrastructure are likely to become more omnipresent at future editions.
Implementing natural neighbour interpolation implies the construction of a geometric Voronoi diagram, however this is not strictly the case. Since the Delaunay triangulation is the dual graph of the Voronoi diagram, all the information needed to perform natural neighbour interpolation is already implicit within the triangulation itself. Algorithms to determine natural neighbours from the Delaunay triangulation can be found in several papers within the literature[4][5]. Unfortunately the relative complexity of natural neighbour interpolation means that it is slower than barycentric interpolation by a considerable margin.
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