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Figure 2 shows a the wavelet transform of a 2D seismic image.
The 1D decomposition algorithm was applied along each dimension.
Wavelengths progress from DC in the upper left to Nyquist in the lower right.
The impression is of replicated images on a warped checkerboard.
This is similar to the results of Mallat (1989).
Figure 3 show successive pass bands of the reconstructed seismic image.
The logarithmic scaling of basis wavelengths seems too coarse for
precision filtering.
Also there are annoying, but computationally correct, discontinuities
in the bandpassed image due to the roughness of the halfcycle squarewave
function.
It is suspected that alternative wavelet families appear better.
Figure 3:
Bandpass filtering of Figure 2a image.
The pass separation is two octaves from Nyquist laterally and one octave vertically.

Next: 2D and 3D segmentation
Up: INTRODUCTION TO WAVELETS
Previous: 1D seismic signal decomposition
Stanford Exploration Project
1/13/1998