institute for visualization and perception research 1 4/27/99 dimensional anchors: a graphic...
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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
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Background
•Parallel Coordinates
•Survey Plot
•Scatter Plot (Scatter Plot Matrix)
•Radviz (spring forces)
•Circle Segments
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•Basic level, a DA is an Axis in a ScatterPlot
•Associated with a Data Column (Dataset)
•Anchorpoints (data points along the Axis)
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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
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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)
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Some DA-Scatterplot Examples
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DA Scatterplot (P1=.8, P2=.2)
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DA Scatterplot (P1= .1, P2=1.0)
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Oblique Coordinates
DAs do not currently useOblique Coordinates
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DAs in an equilateral triangle - Fisher Iris data set –A 3d scatter plot
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DAs with P3 = 1.0
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A 5 DA Scatter Plot – Radial Layout
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A 5 DA Scatter Plot - Polygon Layout
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6 DA Scatter Plot
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5 DAs x 2 in L Shape - Generates a Scatter PlotMatrix
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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
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Some DA-Survey plot ExamplesData is sorted by some column
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A Survey Plot generated from 7 DAs
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A Survey Plot from a Radial Configuration of DAs
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A Survey Plot generated in a regularpolygon configuration
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DAs alternated with an identical class DA - Gray scaleand Color scale
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Color Correlated Column Viz (CCCViz) DAs with P4 = 1.0
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DAs in a radial pattern to generate CircleSegments
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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
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Some DA-Parallel Coordinate Examples
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DAs configured for Parallel Coordinates but P5 isonly .5
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DAs in PC configuration P5 = 1.0 P6 = 1.0(allowing all connections)
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DAs in a regular polygon P5 = 1.0 Mesh Plot
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DAs in regular polygon P5 = .3
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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
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Some DA - Radviz/Spring Examples
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DAs spread polygon P7=.5 P9=.5
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DAs spread polygon P7=.5, P8=1.0, P9=.5
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Original Radviz 3 overlapping points in center
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DAs in a regular polygon P7=.5, P8=1.0,P9=.5
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DAs Enhanced Radviz on Iris Flower data set (thespread and discrimination is better)
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Original Radviz on the Iris Flower data set
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Enhanced Radviz with P8 = 1.0
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There are many possible configurations (useful) of
Dimensional Anchors
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DAs arranged in a criss cross pattern P7=.4, P9=.5
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Criss cross P7=.4, P8=1.0, P9=.5
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small DAs in a Parallel Coordinate configuration P7.4, P9=.5
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Survey Plot parameters with curved DAs
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An L shaped pattern of curved DAs
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A criss cross pattern of curved DAs with several Pparameters turned on.
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A criss cross pattern of DAs with several Pparameters turned on
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Some new and potentially useful visualizations
generated from Dimensional Anchors
• Mesh Plots
• X- Radviz
• Spring Ordering Visualizations
• CCCViz
• More to come
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A Dimensional Anchor Visualization Grand Tour
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Automobile Dataset
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Iris Flower Data
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Simple Seven Dataset
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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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Enhanced Radviz with overlap
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Parallel Coordinates configuration with springs P7=.5, P8=1.0,P9=.5