Theory of wave-equation MVA

This section presents in detail our generalization of WEMVA. Throughout this section, we use the following notation conventions: we write ${\bf A} \left[x \right]$ when we mean ${\bf A}$ operates on x, and $\left< a,b \right\gt$ when we mean the inner product of the vectors a and b.

We begin with a brief review of wavefield extrapolation, followed by a discussion of image transformations to the optimization domain, the objective functions and their gradient with respect to velocity. In the end, we restate our main results in the familiar SEP notation using linear fitting goals.