二维傅里叶变换

二维连续傅里叶变换

F {f (x, y)} = F (u, v) = \iint f (x, y) e^{- j 2 π (u x + v y)} d x d y

F (u, v) = \frac{1}{N} \sum_{x = 0}^{N - 1} \sum_{y = 0}^{N - 1} f (x, y) e^{- j 2 π (u x + v y) / N}

f (x, y) = \frac{1}{N} \sum_{u = 0}^{N - 1} \sum_{v = 0}^{N - 1} F (u, v) e^{j 2 π (u x + v n) / N}