= Transfinite interpolation
{wiki=Transfinite_interpolation}
Transfinite interpolation is a mathematical technique used to create a continuous surface or function that passes through a given set of points, typically in a multidimensional space. It extends the concept of interpolation beyond finite-dimensional spaces to infinite-dimensional or higher-dimensional contexts. The technique is particularly useful in the context of geometric modeling, computer graphics, and numerical analysis. The key idea is to define a function that satisfies certain properties at specified boundary points (or control points) while allowing for continuity and smoothness in the interpolation.
Back to article page