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Interpolation
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==In higher dimensions== {{comparison_of_1D_and_2D_interpolation.svg|250px|}} {{Main|Multivariate interpolation}} Multivariate interpolation is the interpolation of functions of more than one variable. Methods include [[nearest-neighbor interpolation]], [[bilinear interpolation]] and [[bicubic interpolation]] in two dimensions, and [[trilinear interpolation]] in three dimensions. They can be applied to gridded or scattered data. Mimetic interpolation generalizes to <math>n</math> dimensional spaces where <math>n > 3</math>.<ref>{{Cite book |last=Whitney |first=Hassler |title=Geometric Integration Theory |publisher=Dover Books on Mathematics |year=1957 |isbn=978-0486445830}}</ref><ref>{{Cite journal |last1=Pletzer |first1=Alexander |last2=Fillmore |first2=David |title=Conservative interpolation of edge and face data on n dimensional structured grids using differential forms |journal=Journal of Computational Physics |year=2015 |volume=302 |pages=21β40 |doi=10.1016/j.jcp.2015.08.029 |bibcode=2015JCoPh.302...21P |doi-access=free }}</ref> <gallery> Image:Nearest2DInterpolExample.png|Nearest neighbor Image:BilinearInterpolExample.png|Bilinear Image:BicubicInterpolationExample.png|Bicubic </gallery>
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