Next: Column scaling: data normalization
Up: Kirchhoff imaging and irregular
Previous: Kirchhoff imaging and irregular
Since each row corresponds to a summation surface, we apply the row
normalization to imaging operators implemented as (sum) pull operators.
We solve the normalized system:
| |
(50) |
where the sum of the elements of each row is along the diagonal of .
The solution in equ-mod is equivalent
to applying the imaging operator followed by a diagonal
transformation . Therefore, we will refer to this
normalization as model or image normalization. Since has the inverse units of , the normalized image is
unit-less.
Given that each row of corresponds to an output bin,
is therefore normalization by the coverage after imaging.
We refer to this coverage as the imaging fold, e.g, AMO fold, DMO fold
... etc.
Next: Column scaling: data normalization
Up: Kirchhoff imaging and irregular
Previous: Kirchhoff imaging and irregular
Stanford Exploration Project
7/5/1998