  We present the experimental observation of magnetic field line curvature at
the surface of a superconducting film by local quantitative magneto-optics. In
addition to the knowledge of the full induction field at the superconductor
surface yielding the quantitative observation of the flux line curvature, our
analysis method allows also local value measurements of the electrical current
density inside the sample. Thus, we study the interplay between the
electrodynamic constraints dictated by the film geometry and the pinning
properties of the superconductor. In particular, we investigate the anisotropic
vortex-pinning, due to columnar defects introduced by heavy ion irradiation, as
revealed in the local current density dependence on the vortex curvature during
magnetic flux diffusion inside the superconducting film.
