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Finally, as we mentioned before, it is possible to center bounded convolutions by changing the location where we calculate the each point along the filter.
This is very similar to what we have shown in previous sections; however, it essentially requires four iterable dimensions because we need to iterate through each axis of the output domain *and* the filter.
@@ -49,9 +49,9 @@ At this stage, it is important to write some code, so we will generate a simple
Though it is entirely possible to create a Gaussian kernel whose standard deviation is independent on the kernel size, we have decided to enforce a relation between the two in this chapter.
@@ -138,9 +138,9 @@ In code, the Sobel operator involves first finding the operators in $$x$$ and $$
This method also has the added advantage that it will *always output an array of the size of your signal*; however, if your signals are not of equal size, we need to pad the smaller signal with zeros.
@@ -41,7 +41,7 @@ Also note that the Fourier Transform is a periodic or cyclic operation, so there
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