In general, a response R is calculated by convolving an input X with a filter f, where the number of channels in X and f is equal. The range of the values in Ris usually the set of Real numbers. You...

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Extracted text: In general, a response R is calculated by convolving an input X with a filter f, where the number of channels in X and f is equal. The range of the values in Ris usually the set of Real numbers. You are required to propose pre and/or post-processing steps so that the values in R can be interpreted as the cosine of the angle between f and the area in X being convolved (at each step). Make your proposal in two steps. Initially give your proposal for 1x1 filters and then extend it to include any SxS filter.