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The algorithm which shifted the shot gathers in the previous paragraph
computes the roots of a simple quadratic expression while looping over the
samples of the input shot gather and the geophone locations of the output
shot gather. For each sample at time *t*_{1} and offset^{} *h*_{1} in the original
gather *s*_{1}, *a*_{1}, *b*_{1} are computed according to equations
(2) and (3).
To construct the
shot gather *s*_{2} the algorithm loops over the offset *h*_{2} computing
*t*_{2} by solving the quadratic polynomial (10).
Since our implementation `shct.rst` of this algorithm allows
different layout parameter for the input and output shot gather, the
shot continuation qualifies as a binning operator.

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Stanford Exploration Project

11/17/1997