“…The orientation θ of a minutia can be incorporated by using the spatial derivative of m(x, y) in the direction of the minutia orientation. Thus, to every minutia in a fingerprint, a function m i (x, y, θ) is assigned being the derivative of m i (x, y) in the direction θ i , such that (4) As with the SML algorithm, using a Gaussian filter and taking the magnitude of the spectrum yields (5) Recently, (Xu & Veldhuis, 2010) have further discussed the objective of the spectral minutiae representation in representing a minutiae set as a fixed-length feature vector that is invariant to translation, rotation and scaling. Fig.…”