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natural neighbor : ウィキペディア英語版
natural neighbor

Natural neighbor interpolation is a method of spatial interpolation, developed by Robin Sibson. The method is based on Voronoi tessellation of a discrete set of spatial points. This has advantages over simpler methods of interpolation, such as nearest-neighbor interpolation, in that it provides a smoother approximation to the underlying "true" function.
The basic equation in 2D is:
:G(x,y)=\sum^n_
where G(x,y) is the estimate at (x,y), w_i are the weights and f(x_i,y_i) are the known data at (x_i, y_i). The weights, w_i, are calculated by finding how much of each of the surrounding areas is "stolen" when inserting (x,y) into the tessellation.
==See also==

* Inverse distance weighting
* Multivariate interpolation

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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