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Angular Brushing
for Extended Parallel Coordinates
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| Abstract:
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This work demonstrates several extensions to the
well-known InfoViz technique of parallel coordinates, mainly
concentrating on brushing and focus+context visualization.
First, we propose angular brushing as a new approach
to high-light rational data-properties, i.e., features which
depend on two data dimensions (instead of one). We also
demonstrate smooth brushing of parallel coordinates as
an intuitive tool for specifying non-binary degree-of-interest
functions (then used for F+C visualization). Thirdly, we
show how composite brushes provide lots of flexibility
during data exploration. Additionally, we also present
several further and more general extensions to parallel
coordinates which there are (a) histograms to be used as axis
overlays, (b) interaction features such as axis re-ordering,
flipping, scaling and panning, and (c) detail on demand,
implemented as a mouse-over effect.
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| Project:
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This project was done in the scope of
VRVis basic research
on visualization
at
the VRVis research center
in Vienna, Austria, which is funded by an
Austrian governmental program called Kplus.
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| Papers:
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More details about this work can be found in
VRVis technical report TR-VRVis-2002-015 (8 pages)
from March 2002.
A shorter version of this paper (4 pages)
is accepted for publication
in the Proceedings of the IEEE Symposium
on Information Visualization 2002 (InfoVis 2002),
Oct. 28-29, 2002, Boston, MA.
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| Video:
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This video (QT-movie, ~11MB) demonstrates angular brushing as well as
further extensions to parallel coordinates.
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Images
(to retrieve an enlarged version
of the images, click on them):
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Below:
parallel coordinates, a sample view:
the cars data-set is shown, four (out of twelve)
data-dimensions are visualized.
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Below:
brushing parallel coordinates, an example:
all cars with four cylinders are marked and emphasized (only four data dims.
shown).
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extended parallel coordinates, a sample view of the cars data-set:
cars with six cylinders were emphasized through brushing, histograms are
laid over axes, and one data-point is shown with all details.
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reading between the lines:
whereas most line-segments go up in-between the 2nd and 3rd
axis (visualizing a positive correlation of values there),
just a few go down - those have been emphasized through
angular brushing.
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Below:
smooth brushing, an example:
note the gradual change of drawing intensity which reflect the
respective degree of interest, after smooth brushing of the 2nd axis.
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comparing composite brushes (on the left) and angular brushes (on the
right), using parallel coorindates (top row) and scatterplots (bottom
row):
composite brushes address ``horizontal/vertical'' features, whereas
angular brushes emphasize ``diagonal'' features.
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| - - composite brushes - - |
- - angular brushes - - |
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| AND-brush |
OR-brush |
angular brush |
angular brush, after axis flipping |
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an example of a composite brush (AND):
a CFD data-set is shown with all data-points high-lighted,
which exhibit values of turbolent velocity (single-axis brush,
smoothly along ``TurbolenceVelocity''-axis)
and
relatively low y-velocity (``Velocity.V'') when
compared to 3D-velocity (angular brush after axis flipping).
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linking and brushing, an example:
in a scatter-plot (shown on the left side),
smooth brushing was used to mark data-points
of low pressure and low velocity;
a linked 3D view (on the top right)
shows the same data with the brushed
data-points high-lighted; thirdly, the
parallel coordinates view (on the lower right)
also show the same data, also high-lighting the brushed
sub-set.
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This page
is maintained by Helwig Hauser.
In case of questions, comments, etc., please
mailto:Hauser@VRVis.at.
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