Trilinear Interpolation
Trilinear Interpolation is a mathematical method used to estimate values within a three-dimensional grid. It works by taking the known values at the corners of a cube and calculating the unknown value at a specific point inside that cube. This technique is particularly useful in fields like computer graphics and scientific simulations, where data is often represented in three dimensions.
The process involves linear interpolation along each of the three axes: x, y, and z. By first interpolating in one direction, then the next, and finally the last, it combines these results to find the desired value. This approach provides a smooth transition between known data points.