Quantitative dip bounds for the two-dimensional discrete wavelet transform
Jack K. Cohen, Tong Chen · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 1993
An analysis of the discrete wavelet transform of dipping segments with a signal of given frequency band leads to a quantitative explanation of the known division of the 2D wavelet transform into horizontal, vertical and diagonal emphasis panels. The results must be understood in a `fuzzy' sense: since wavelet mirror filters overlap, the results stated can be slightly violated with violation tending to increase with shortness of the wavelet chosen.