Multivariate interpolation

In numerical analysis, multivariate interpolation or spatial interpolation is interpolation on functions of more than one variable.Nearest neighborBilinearBicubic In numerical analysis, multivariate interpolation or spatial interpolation is interpolation on functions of more than one variable. The function to be interpolated is known at given points ( x i , y i , z i , … ) {displaystyle (x_{i},y_{i},z_{i},dots )} and the interpolation problem consist of yielding values at arbitrary points ( x , y , z , … ) {displaystyle (x,y,z,dots )} . 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). For function values known on a regular grid (having predetermined, not necessarily uniform, spacing), the following methods are available.