Abstract:
In many fields of science or engineering, we are confronted with uncertain
data. For that reason, the visualization of uncertainty received a lot of
attention, especially in recent years. In the majority of cases, Gaussian
distributions are used to describe uncertain behavior, because they are able
to model many phenomena encountered in science. Therefore, in most
applications uncertain data is (or is assumed to be) Gaussian distributed. If
such uncertain data is given on fixed positions, the question of
interpolation arises for many visualization approaches. In this paper, we
analyze the effects of the usual linear interpolation schemes for
visualization of Gaussian distributed data. In addition, we demonstrate that
methods known in geostatistics and machine learning have favorable properties
for visualization purposes in this case.