Every image can be represented by a matrix. For example, a
simple image with a diagonal line can be represented by an identity matrix, A1:
Suppose we want to calculate the correlation coefficient of
A1 and itself, we will use the following formula:
Based on the matrix multiplication rule, we can only multiply a m x n matrix A with
a n x p matrix B in which the column number of A is equal to the row number of B.
In our case, after vectorizing A1, it becomes a 1x4 matrix [1001]. To multiply
A1 and A1, we have to first transpose A1 into A1
T which is a 4x1 matrix, then we can calculate the dot product and the coefficient:
Comments
Post a Comment