Convolutions Exercise
Convolve the two 3x3 matrices that were assigned to you with your 9x9 matrix and calculate the resulting two matrices
What is the purpose of using a 3x3 filter to convolve across a 2D image matrix?
Applying a filter to image can be helpful for extracting features. For example, the filter may emphasize and/or deemphasize parts of the image. The way it accomplishes this in python is by applying a matrix (in this case sized 3x3) over a 2D matrix that represents the image.
We could include more than one filter because different filters serve different purposes. For example, one filter may emphasize horziontal lines whereas another filter may emphasize vertical lines. Alternatively, a filter could darken the image versus lighten it.
I tried three different filters on the mnist dataset but only applied one at a time. However, I applied two matrices to the 2d images matrix from the dataset - one was for convolutions and the other for pooling.