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.
Publication date: 10 March 2026
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“要不试试顺风车？”爱人的提议点醒了我。要是能遇上顺路的车主，直接送到家门口，哪怕多花点钱，也比来回折腾强。于是，我在某顺风车App上发布了行程计划，标注了出发时间和目的地，满心期待能有合适的车主接单。没过多久，就有车主私信我，简单确认了行程细节后，我们约定了初二一早在小区门口碰面。
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Source: Computational Materials Science, Volume 266