Multivariate interpolation

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 $(x_{i},y_{i},z_{i},...)$ and the interpolation problem consist of yielding values at arbitrary points $(x,y,z,...)$.

Uniform grid

For function values known on a prescribed uniform grid, the following methods are available

• Nearest neighbor interpolation (any dimension)
• Bilinear interpolation (2D)
• Trilinear interpolation (3D)
• Bicubic interpolation (2D)
• Lanczos resampling (2D)

See also bitmap resampling

Non-uniform grid

Schemes defined on a non-uniform grid should all work on a uniform grid, typically reducing to another known method.

• Nearest neighbor interpolation
• Natural neighbor
• Inverse distance weighting
• Kriging