Phase Correlation is many times faster than feature correspondence based image registration methods, but is still relatively computationally complex. To register images using phase correlation related by similarity transforms a translation invariant log-polar remapping of the images is required. This operation requires the computation of an additional two 2D FFTs plus two log-polar transforms. This paper proposes an alternative approach that eliminates the need to compute the log-polar transforms that reduces the number of FFTs required to register images and reduces overall computation time.