Optimal Weighting Functions For Cross Correlation Of Distorted Images

The detection performance of the two-dimensional cross correlation algorithm applied to two images with relative geometric distortion is presented. The per- formance measure used is the peak-to-sidelobe ratio. The geometric distortion is modeled by an affine transformation of image coordinates. The spatial window function applied to one of the images before cross correlation with the other one is optimized for a given distortion. The expression for peak-to-sidelobe is shown to be maximized by the window function.