Such ties could be required for seismic design purposes. ACI 318-08 chapter 21.12.2.3 requires ties (transverse reinforcement) within a footing or foundation member for columns or boundary elements of special structural walls that have an edge located within h/2 from the edge of the footing, where h = the footing thickness. This only applies to Seismic Design Category D, E, and F for ACI 318-08. If your pedestal doesn't fall into the requirements of ACI 318-08 chapter 21 then I agree with the others that the ties are not required and/or serving a useful structural purpose.
By the way, if your pedestal is resisting any significant moment, the performance of the joint will be greatly improved if you turn the longitudinal bar hooks (the 90-degree hooks) such that they are pointing towards the centerline of the pedestal.