What is a spatial
interpolation?
1Inverse Distance Weighting (IDW)
Interpolation predicts values for cells in a raster from a limited
number of sample data points. It can be used to predict unknown values for any
geographic point data: elevation, rainfall, chemical concentrations, noise
levels, and so on.
Interpolation is based
on the assumption that spatially distributed objects are spatially correlated;
in other words, things that are close together tend to have similar
characteristics.
It is
important to understand that the interpolated values are approximations only of
the real values of the surface and that the interpolated values differ
depending upon the interpolation method used.
Why interpolate?
Visiting every location in a study area to measure the
height, magnitude, or concentration of a phenomenon is usually difficult or
expensive. Instead, dispersed sample input point locations can be selected and
a predicted value can be assigned to all other locations. Input points can be
either randomly, strategically, or regularly spaced points containing height,
concentration, or magnitude measurements.
A typical use for point interpolation is to create an elevation surface from a set of sample
measurements. Each point represents a location where the elevation has been
measured. The values between these input points are predicted by interpolation.
There are effectively two types of
techniques for generating raster surfaces
Deterministic Models use a
mathematical function to predict unknown values and result in hard
classification of the value of features.
GeoStatistical Techniques produce
confidence limits to the accuracy of a prediction but are more difficult to
execute since more parameters need to be set.
Deterministic
Models
Deterministic models include Inverse
Distance Weighted (IDW), Rectangular,
Natural Neighbours, and Spline. You can also develop a trend surface using polynomial
functions to create a customized and highly accurate surface.
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