Phase-Shifting for Nonseparable
Haar Wavelets · 2008
In this paper, we present a novel and efficient solu- tion to phase-shifting 2-D nonseparable Haar wavelet coefficients. While other methods either modify existing wavelets or introduce new ones to handle the lack of shift-invariance, we derive the ex- plicit relationships between the coefficients of the shifted signal and those of the unshifted one. We then establish their computa- tional complexity, and compare and demonstrate the superior per- formance of the proposed approach against classical interpolation tools in terms of accumulation of errors under successive shifting. Index Terms—Nonseparable, phase-shifting, 2-D Haar trans- form, wavelets.