Computation of small-angle scattering profiles with three-dimensional Zernike polynomials

Three-dimensional Zernike polynomials are employed to efficiently compute small-angle X-ray scattering (SAXS) profiles. Three-dimensional Zernike polynomials faithfully reproduce three-dimensional objects with complex surfaces, including surface-bound solvent. The resulting SAXS profiles are in good agreement with existing computational procedures.

Computation of fluctuation scattering profiles via three-dimensional Zernike polynomials

An algorithm is presented for calculating the fast fluctuation scattering parameter via the three-dimensional Zernike polynomial expansion method.