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Institute for Visualization and Perception Research 14/27/99
Dimensional Anchors: A Graphic Primitive for
Multidimensional Multivariate Information Visualizations
Patrick Hoffman
Georges Grinstein
UMass-Lowell
Institute for Visualization and Perception Research 24/27/99
Background
•Parallel Coordinates
•Survey Plot
•Scatter Plot (Scatter Plot Matrix)
•Radviz (spring forces)
•Circle Segments
Institute for Visualization and Perception Research 74/27/99
•Basic level, a DA is an Axis in a ScatterPlot
•Associated with a Data Column (Dataset)
•Anchorpoints (data points along the Axis)
Institute for Visualization and Perception Research 84/27/99
Currently 9 Geometrical Parameters for a DA
• P1- Size of scatterplot point
• P2 - Length of perpendicular lines extending from anchorpoints,creating scatterplot points
• P3 - length of lines connecting points associated with the same data point in scatter plot
• P4 - length of rectangle in Survey Plot (has a threshold feature)• P5 - length of Parallel Coordinate lines• P6 - blocking factor for Parallel Coordinate lines• P7 - size of Radviz/spring plot point• P8 - length of “spring” lines extending from anchorpoints creating
Radviz/spring plot point• P9 - zoom factor for the “spring” K constant
Institute for Visualization and Perception Research 94/27/99
Currently 4 Data/Color Parameters for a DA
• An associated data column for anchorpoints• An associated data column for colorizing• An associated data column for sorting (Survey Plot
parameter only)• An associated color palette value (different color tables)
Institute for Visualization and Perception Research 134/27/99
Oblique Coordinates
DAs do not currently useOblique Coordinates
Institute for Visualization and Perception Research 144/27/99
DAs in an equilateral triangle - Fisher Iris data set –A 3d scatter plot
Institute for Visualization and Perception Research 194/27/99
5 DAs x 2 in L Shape - Generates a Scatter PlotMatrix
Institute for Visualization and Perception Research 204/27/99
Currently 9 Parameters For a Dimensional Anchor
• P1 - Size of scatterplot point
• P2 - Length of perpendicular lines extending from anchorpoints,creating scatterplot points
• P3 - length of lines connecting points associated with the same data point in scatter plot
• P4 - length of rectangle in Survey Plot (has a threshold feature)• P5 – length of Parallel Coordinate lines• P6 – blocking factor for Parallel Coordinate lines• P7 – size of Radviz/spring plot point• P8 – length of “spring” lines extending from anchorpoints creating
Radviz/spring plot point• P9 – zoom factor for the “spring” K constant
Institute for Visualization and Perception Research 214/27/99
Some DA-Survey plot ExamplesData is sorted by some column
Institute for Visualization and Perception Research 234/27/99
A Survey Plot from a Radial Configuration of DAs
Institute for Visualization and Perception Research 244/27/99
A Survey Plot generated in a regularpolygon configuration
Institute for Visualization and Perception Research 254/27/99
DAs alternated with an identical class DA - Gray scaleand Color scale
Institute for Visualization and Perception Research 264/27/99
Color Correlated Column Viz (CCCViz) DAs with P4 = 1.0
Institute for Visualization and Perception Research 274/27/99
DAs in a radial pattern to generate CircleSegments
Institute for Visualization and Perception Research 284/27/99
Currently 9 Parameters For a Dimensional Anchor
• P1 - Size of scatterplot point
• P2 - Length of perpendicular lines extending from anchorpoints,creating scatterplot points
• P3 - length of lines connecting points associated with the same data point in scatter plot
• P4 - length of rectangle in Survey Plot (has a threshold feature)• P5 – length of Parallel Coordinate lines• P6 – blocking factor for Parallel Coordinate lines• P7 – size of Radviz/spring plot point• P8 – length of “spring” lines extending from anchorpoints creating
Radviz/spring plot point• P9 – zoom factor for the “spring” K constant
Institute for Visualization and Perception Research 304/27/99
DAs configured for Parallel Coordinates but P5 isonly .5
Institute for Visualization and Perception Research 314/27/99
DAs in PC configuration P5 = 1.0 P6 = 1.0(allowing all connections)
Institute for Visualization and Perception Research 324/27/99
DAs in a regular polygon P5 = 1.0 Mesh Plot
Institute for Visualization and Perception Research 344/27/99
Currently 9 Parameters For a Dimensional Anchor
• P1 - Size of scatterplot point
• P2 - Length of perpendicular lines extending from anchorpoints,creating scatterplot points
• P3 - length of lines connecting points associated with the same data point in scatter plot
• P4 - length of rectangle in Survey Plot (has a threshold feature)• P5 – length of Parallel Coordinate lines• P6 – blocking factor for Parallel Coordinate lines• P7 – size of Radviz/spring plot point• P8 – length of “spring” lines extending from anchorpoints creating
Radviz/spring plot point• P9 – zoom factor for the “spring” K constant
Institute for Visualization and Perception Research 374/27/99
DAs spread polygon P7=.5, P8=1.0, P9=.5
Institute for Visualization and Perception Research 384/27/99
Original Radviz 3 overlapping points in center
Institute for Visualization and Perception Research 394/27/99
DAs in a regular polygon P7=.5, P8=1.0,P9=.5
Institute for Visualization and Perception Research 404/27/99
DAs Enhanced Radviz on Iris Flower data set (thespread and discrimination is better)
Institute for Visualization and Perception Research 414/27/99
Original Radviz on the Iris Flower data set
Institute for Visualization and Perception Research 454/27/99
There are many possible configurations (useful) of
Dimensional Anchors
Institute for Visualization and Perception Research 464/27/99
DAs arranged in a criss cross pattern P7=.4, P9=.5
Institute for Visualization and Perception Research 484/27/99
small DAs in a Parallel Coordinate configuration P7.4, P9=.5
Institute for Visualization and Perception Research 494/27/99
Survey Plot parameters with curved DAs
Institute for Visualization and Perception Research 514/27/99
A criss cross pattern of curved DAs with several Pparameters turned on.
Institute for Visualization and Perception Research 524/27/99
A criss cross pattern of DAs with several Pparameters turned on
Institute for Visualization and Perception Research 534/27/99
Some new and potentially useful visualizations
generated from Dimensional Anchors
• Mesh Plots
• X- Radviz
• Spring Ordering Visualizations
• CCCViz
• More to come
Institute for Visualization and Perception Research 544/27/99
A Dimensional Anchor Visualization Grand Tour
Institute for Visualization and Perception Research 634/27/99
E-Radviz still has overlap
Consider the three points in 4 dimensions
d1 d2 d3 d4
1 1 1 1
2 2 2 2
3 3 3 3
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