2A-L1 Images as functions
2A-L2 Filtering
The expression of Images has f(x, y), using (x, y) to express the position, and using f(x, y) to express the value, then we finally get the 2D representation as above. But at the same time, we can also use 1D representation, that is, select a channel, select the value of each pixel in a single channel, and arrange according to the value to obtain a 1D image, just like a one-dimensional signal map.
The above is to filter the one-dimensional image, and to filter the two-dimensional image, we need to use the cross-correlation filter, that is, the 2D convolution kernel, as follows,
There is an Averaging filter average filter as follows, and the results obtained are as follows,
