** Next:** Looping over input space
** Up:** NORMAL MOVEOUT AND OTHER
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Let an integer *k* range along a survey line,
and let data values *x*_{k} be packed into a vector .(Each data point *x*_{k} 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