Continuation to zero offset [better known as dip moveout (DMO)] is a s
tandard tool for seismic data processing, In this paper, the concept o
f DMO is extended by introducing a set of operators: the continuation
operators. These operators, which are implemented in integral form wit
h a defined amplitude distribution, perform the mapping between common
shot or common offset gathers for a given velocity model. The applica
tion of the shot continuation operator for dip-independent velocity an
alysis allows a direct implementation in the acquisition domain by exp
loiting the comparison between real data and data continued in the sho
t domain. Shot and offset continuation allow the restoration of missin
g shot or missing offset by using a velocity model provided by common
shot velocity analysis or another dip-independent velocity analysis me
thod.