Multivariate interpolation: Difference between revisions

Revision as of 02:47, 31 January 2021

Revision as of 19:54, 21 February 2021

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In [[numerical analysis]], '''multivariate interpolation''' is [[interpolation]] on functions of more than one variable; when the variates are [[spatial coordinate]]s, it is also known as '''spatial interpolation'''.

The function to be interpolated is known at given points <math>(x_i, y_i, z_i, \dots)</math> and the interpolation problem consistconsists of yielding values at arbitrary points <math>(x,y,z,\dots)</math>.

Multivariate interpolation is particularly important in [[geostatistics]], where it is used to create a [[digital elevation model]] from a set of points on the Earth's surface (for example, spot heights in a [[topographic survey]] or depths in a [[hydrographic survey]]).