“…This recent transform separates the information contained in the image better than a classical DWT, and provides a multiscale image analysis whose coefficients are 2D analytic, with one near-shift invariant magnitude and three phases. It is based on the 2D generalization of both the Fourier transform and the analytic signal defined in [7] in the quaternion algebra H. The quaternion algebra H is more adapted than the complex domain C to describe 2D signals. The QWT used in this work has promising theoretical properties in image quality assessment.…”