•Suppose
we consider the convolution template as a “vector”:
–T =
[T1,T2,T3 .... Tn]
–
•Likewise,
consider a region of the image to which the convolution is applied as a
vector
–I =
[I1,I2,...In]
–
•Then
the value of the convolution at a point is just the “dot product”
–v = T ¢ I
–
•Thus,
we can also think of convolution as a kind of “pattern match” where regions of
the image that are “similar” to T respond more strongly than those that are
dissimlar (up to a scale factor)