Quantitative dip bounds for the two-dimensional discrete wavelet transform

Jack K. Cohen; Tong Chen

doi:10.1117/12.164841

1 December 1993 Quantitative dip bounds for the two-dimensional discrete wavelet transform

Jack K. Cohen, Tong Chen

Proceedings Volume 2033, Mathematical Methods in Geophysical Imaging; (1993) https://doi.org/10.1117/12.164841
Event: SPIE's 1993 International Symposium on Optics, Imaging, and Instrumentation, 1993, San Diego, CA, United States

Abstract

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.

Citation Download Citation

Jack K. Cohen and Tong Chen "Quantitative dip bounds for the two-dimensional discrete wavelet transform", Proc. SPIE 2033, Mathematical Methods in Geophysical Imaging, (1 December 1993); https://doi.org/10.1117/12.164841

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