  We apply the truncated singular value decomposition (SVD) to extract the
underlying 2D correlation functions from small-angle scattering patterns. We
test the approach by transforming the simulated data of ellipsoidal particles
and show that also in case of anisotropic patterns (i.e. aligned ellipsoids)
the derived correlation functions correspond to the theoretically predicted
profiles. Furthermore, we use the truncated SVD to analyze the small-angle
x-ray scattering patterns of colloidal dispersions of hematite spindles and
magnetotactic bacteria in presence of magnetic fields, to verify that this
approach can be applied to extract model-free the scattering profiles of
anisotropic scatterers from noisy data.
