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Let an integer k range along a survey line,
and let data values xk be packed into a vector .(Each data point xk could also be a seismogram.)
We plan to resample the data more densely,
say from 4 to 6 points.
For illustration, I follow a
crude
nearest-neighbor interpolation
scheme
by sprinkling ones along the diagonal of a rectangular matrix
that is
| |
(10) |
where
| |
(11) |
The interpolated data is simply
.The matrix multiplication (11)
would not be done in practice.
Instead there would be a loop running over the space of the
outputs that picked up values from the input.
Next: Looping over input space
Up: NORMAL MOVEOUT AND OTHER
Previous: Nearest-neighbor interpolation
Stanford Exploration Project
10/21/1998