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Trilinear interpolation is a method of multivariate interpolation on a 3-dimensional regular grid. It approximates the value of a function at an intermediate point {\displaystyle } within the local axial rectangular prism linearly, using function data on the lattice points. For an arbitrary, unstructured mesh , other methods of interpolation must be used; if all the mesh elements are tetrahedra , then barycentric coordinates provide a straightforward procedure.
Trilinear interpolation is frequently used in numerical analysis, data analysis, and computer graphics.
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