Visualizing multivariate functions, data, and distributions
Mihalisin, T.; Timlin, J.; Schwegler, J.
Computer Graphics and Applications, IEEE
Volume 11, Issue 3, May 1991 Page(s):28 - 35
Digital Object Identifier 10.1109/38.79451
Summary:The problem of visualizing a scalar-dependent variable that is a
function of many independent variables is addressed, focusing on cases
with three or more independent variables. A hierarchical axis using
different metrics for each independent variable is used, as are
hierarchical data symbols. The technique is described for the case in
which each independent variable is sampled in a regular grid or
lattice-like fashion (that is, in equal increments), but it can be
generalized to a variety of less restrictive domains. Rather than
presenting a formal mathematical description, the authors use a visual
means of describing the technique for a simple three-dimensional data
case, and then demonstrate by example how to extend it to higher
dimensions. It is demonstrated that these techniques for plotting scalar
fields on an N-dimensional lattice work for such data
visualization tasks as the location of maxima, minima, saddle points,
and other features, as well as for visually fitting multivariate data
and the visual determination of dominant and weak or irrelevant
variables
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