Next: Tau tomography
Up: THEORY
Previous: Smoothing slowness rather than
The proposed regularized tomography problem still has the problem
of slow convergence. By reformulating the problem in helix space
Claerbout (1998c), we can take advantage of 1D theory to change our
regularized problem into a preconditioned one. We start by defining
a new variable :
 
(6) 
By applying polynomial division to our steering filters, we can
create which becomes a smoothing operator.
We can then rewrite our fitting goals as
 

 (7) 
Next: Tau tomography
Up: THEORY
Previous: Smoothing slowness rather than
Stanford Exploration Project
4/20/1999