Geometry transform operator

The geometry changing operation can simply be expressed as a cascade of operators. The operator $\bf S_1$ refers to the stack operation under a given data geometry 1. It might include knowledge about missing or dead traces. ``^t'' denotes the transpose operation. $\bf S_2$ is the stack with a new arbitrary data geometry.  

$${\bf d'}(x,t) = {\bf S_2}~{\bf (S^t_1~ S_1 )^{-1} }~ {\bf S_1^t}~ {\bf d}(x,t)$$ (3)