ETL 1110-1-175
30 Jun 97
Figure 7-1. Diagram showing Voronoi polygons
smoothing parameter 0 to be > 0 renders the
specified by the user; the value of this parameter
reflects the trade-off between goodness of fit to the
computational problem more complex.
data, measured by the first term, and smoothness,
as measured by Q. If 0 is chosen to be 0, the
c. Under some conditions a solution to the
spline is an exact interpolator and passes through
optimization problem (Equation 7-7) may also be
all the data points. If 0 > 0, the spline is not an
obtained by a kriging algorithm if the smoothing
parameter 0 is taken to be equal to the variance of
exact interpolator. (Splines that are not exact
interpolators are referred to as smoothing splines.)
measurement error and if a special form is chosen
There are a number of numerical procedures that
for the covariance function. Therefore, in this
may be used for fitting splines, but allowing the
situation, spline approximation is a special type of
7-4
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