Interpolation is the process of constructing a function that takes on
specified values at specified points. In engineering and science, one often
has a number of data points, obtained by sampling or experimentation, which
represent the values of a function for a limited number of values of the
independent variable. It is often required to interpolate (i.e. estimate)
the value of that function for an intermediate value of the independent
variable. A different problem which is closely related to interpolation is
the approximation of a complicated function by a simple function.

Shepard interpolation is a special case of normalized radial basis function
interpolation if the function φ(r) goes to infinity as r → 0, and is
finite for r > 0.

Shepard interpolation is a special case of normalized radial basis function
interpolation if the function φ(r) goes to infinity as r → 0, and is
finite for r > 0.

Shepard interpolation is a special case of normalized radial basis function
interpolation if the function φ(r) goes to infinity as r → 0, and is
finite for r > 0.