A certain convolution step involves an elementwise multipication between two 3x3 matrices and taking the resulting sum of the elements.
Given a 3x3 kernel matrix K, find its convolution with a 3x3 subsection of a given matrix A. The subsection will be indicated by r and c, the row-column location of the top left corner element.
For example, let K = [ 
], A = [ 
] and r = 2, c = 3. Then the relevant 3x3 subsection of A starts at row 2 and column 3, i.e. with the element 7. Thus, the 3x3 subsection is S = [ 
]. The element-wise product of S with the kernel K is [ 
], and the convolution y is the sum of these elements, making y = 45.
], A = [ ] and r = 2, c = 3. Then the relevant 3x3 subsection of A starts at row 2 and column 3, i.e. with the element 7. Thus, the 3x3 subsection is S = [ ]. The element-wise product of S with the kernel K is [ ], and the convolution y is the sum of these elements, making y = 45.Solution Stats
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