Simulation of resistive grid image filters with Jacobi iteration method for FPGA implementation

It is well known that resistive grid structures yield exponentially decreasing spatial impulse response yielding a spatial frequency response similar to that of a Gaussian filter, hence used as smoothing filters. In this paper it is shown that although the grid structure can be modeled with a recurrence (difference) equation this equation is not recursively computable but the output image can be obtained by solving the node equations of the resistive grid. However, where the image size is extremely large, it is evident that the use of any matrix inversion based algorithm is not feasible. In this paper it is shown that the solution of node equations of the resistive grid can be carried out using Jacobi iteration method which is also shown to be suitable for implementation on FPGA.