Next: Transformation into independent angles
Up: Kinematic equations
Previous: Kinematic equations
It is also possible to implement the transformation to fullaperture angle in the Fourier domain.
Although this transformation does not take into account the lateral and vertical
variations of , it's still an interesting exercise.
We can link this theory with Fourier transform by knowing that:
 
(8) 
From equations (8), it is well known that
 
(9) 
Therefore, the Fourier equivalent for equations (7) is
 

 (10) 
Equations (10) can be used to transform SODCIGs into fullaperture ADCIGs
through stretching of the offset and midpoint axes, but this is only valid for a
velocityratio function that is constant along the image ().
Next: Transformation into independent angles
Up: Kinematic equations
Previous: Kinematic equations
Stanford Exploration Project
5/3/2005