  We study the quantum scattering in two spatial dimensions (2D). Our
computational scheme allows to quantitatively analyze the scattering parameters
for the strong anisotropy of the interaction potential. High efficiency of the
method is demonstrated for the 2D scattering on the cylindrical potential with
the elliptical base and dipole-dipole collisions in the plane. We reproduce the
result for the 2D scattering of polarized dipoles in binary collisions obtained
recently by Ticknor [Phys. Rev. A {\bf 84}, 032702 (2011)] and the 2D
collisions of unpolarized dipoles.
