Correlation Filter

Uniform Weights

If we let the average window size to be \((2k + 1) \times (2k + 1)\):

\[ G(i, j) = \underbrace{\frac{1}{(2k + 1)^2}}_{\text{A}} \underbrace{\sum^k_{u = -k} \sum^k_{v = -k} F(i + u, j + v)}_{B}, \]

where:

\[ \begin{align} A&: \ \text{Uniform weight for each pixel} \\ B&: \ \text{Loop over all pixels in neighborhood around image pixel } F(i, j). \end{align} \]