Statistical Image Modelling Using Interscale Phase Relationships of Complex Wavelet Coefficients
M. Miller, N. G. Kingsbury · 2006
A novel method for modelling the statistics of 2D photographic images useful in image restoration is defined. The new method is based on the dual tree complex wavelet transform (DT-CWT) but a phase rotation is applied to the coefficients to create complex coefficients whose phase is shift-invariant at multiscale edge and ridge features. This is in addition to the magnitude shift invariance achieved by the DT-CWT. The increased correlation between coefficients adjacent in space and scale provides an improved, mechanism for signal estimation