AlgebraicInterpolation.jl is a Julia package that provides methods for interpolating sparse and dense multivariate polynomial and rational functions from samples taken either from an algebraic variety or an affine space.
Enter the Pkg REPL by pressing ] from the Julia REPL and then type
add https://github.com/MultivariatePolynomialSystems/AlgebraicInterpolation.jl.gitTo get back to the Julia REPL, press backspace.