This method is a two-point interpolation. We input the values of
the nearest two points in the *k*_{z} domain, then use the following
equation to get the value of a point between them:

(3) |

where
is the value of the point to be interpolated,
*C*_{n} is the value of the point on its left side,
and *C*_{n+1} is the value of the point on its right side.
is the value of the distance between the interpolated point and
the sample point on its left side.

The linear interpolation in the frequency domain is equivalent to a convolution
with a triangle function in the frequency domain Harlan (1982).
In time-space domain, its
counterpart is multiplication
by a function.
The multiplication by the
causes the original values between *T*/2 and *T* to be
weaker than the wraparound between -*T*/2 and . So in
Figure 2, for which linear interpolation was used,
the lower part of the section shows that the artifacts almost replace the original correct information.

11/16/1997