Spatial frequency analysis has been proposed as a way to speed up the solution of the integral equation (IE) method for calculating electromagnetic scattering from large objects. In this paper, a new, faster technique based on spatial frequency analysis is developed for describing scattering from two-dimensional conducting objects. The technique utilizes the spatial frequency representation of the integral equation and generates a closed form analytical expression for estimating the induced currents without the need for matrix inversion. The technique is applied to the scattering from two-dimensional objects such as infinite conducting cylinders and parallel plate structures. Simulation results are compared with the standard Method of Moments solution and its faster solutions such as the conjugate gradient method. The results indicate that the proposed technique performs faster than the standard MoM solution with results which are comparable to the latter technique.