Constructing 3-D angle gathers through cross-correlation
poses a computational problem primarily due to the accompanying
increase in volume size which forces the gathers to be stored in a computationally more expensive
memory level.
Compressive sensing can be used to mitigate this challenge.
The correlation volume size can be reduced by both phase encoding and random
subsampling.
The full correlation gathers can then by reconstructed using an
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inversion
scheme known as Stagewise Orthogonal Matching Pursuit.
Preliminary results indicate that almost all angle gather information can be recovered.