Migration as Fingerprint Matching

This migration operation can also be interpreted as a dot-product of the kernel fingerprint $G({\bf {r}}\vert{\bf {x}})G({\bf {x}}\vert{\bf {s}})$ with the CSG fingerprint $D({\bf {r}}\vert{\bf {s}})$ (Schuster, 2002), and the result is $m({\bf {x}})$ . If the trial image point is at an actual scatterer, then the fingerprints of the CSG and migration kernel will be a good match and the dot-product will return a large value. If the trial image point is far from any reflector, then the CSG and kernel fingerprints will be mismatched and the dot-product will yield a low magnitude. This description defines the dot-product interpretation of migration, and I will now refer to $G({\bf {r}}\vert{\bf {x}})G({\bf {x}}\vert{\bf {s}})$ and $D({\bf {r}}\vert{\bf {s}})$ as kernel and data fingerprints, respectively.