Approximation of Volume Data
Christian Rössl,
Frank Zeilfelder.
Given are data points which sample a scalar functions and which are
scattered in a volume (top left). These scattered data are
approximated by smooth function. Here, a new type of trivariate spline
is constructed, i.e. the approximation function is defined as
piecewise cubic polynomials. The approximation only applies local
computation and hence the solution of small systems making it suitable
for the processing of large data sets. The visulatizations in the
other pictures show isosurfaces of the spline with the color coded
approximation error to the known test function.
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