Orthonormal polygon polynomials

This dataset contains orthonormal polynomials of square, heptagon, hexagon, heptagon, octagon and nonagon aperture shapes up to 8th order polynomial. The polynomials are listed in Cartesian coordinates (u, v). The dataset is .mat file for Matlab or Mathematica. Dataset1_Mathematica is optimised for easier import into Mathematica. Both files contain the same data. This dataset is referenced in our companion paper "Orthonormalization, analysis and numerical approximation of regular N-gon apertures".