Multi-Dimensional Data Visualization
(Parallel Coordinates)
袁晓如
北京大学
2009年12月25日
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Parallel Coordinates History
• Invented by Inselberg (1985) for computational geometry
http://www.math.tau.ac.il/~aiisreal/
• Introduced by Wegman (1990) for hyper-dimensional
data analysis
• Reveal data relationships, anomalies, structures & trends
• Widely used in the statistics, data analysis and
visualization domain
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Star Glyphs
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Scatterplot Matrix
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Chernoff Faces
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Multidimensional Scaling
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Parallel Coordinates Basics
• To represent N dimensional data
– Set N vertical axes in parallel
– Put data to intersects on corresponding axes
– Connect intersects
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Reorder Parallel Coordinates
Original
Reordered
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Curved Parallel Coordinates
More fluently visibility but drawing curves takes more time and
processing
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Parallel Coordinate View of a Firewall Log File
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Visual Clustering in Parallel Coordinates
[EuroVis 2008]
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Visual Clustering in Parallel Coordinates
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Modeling visual interaction between lines
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Splatting the Lines in Parallel Coordiantes
[EuroVis 2009]
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[EuroVis’09] (CGF’09)
Polyline Splatter
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Segment Splatter
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Scatter Plots
Scatter Plot
Scatter Plot Matrix
From sas.com
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Line vs. Point Representation
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Line vs. Point Representation
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Line vs. Point Representation
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Data Exploration with PC
7 variables and 392 data items.
[InfoVis 2009] (Under review)
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Data Exploration with SPPC
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[InfoVis’09] (TVCG’09)
SPPC – Converting Lines into Points
Parallel Coordinates
Scatter Plot
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Scattering Points in Parallel Coordinates - SPPC
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Scattering Points in Parallel Coordinates - SPPC
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Extension in point distribution - DMS
Scatter Plots
Parallel Coordinates
MDS
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Dimensional Incremental Multidimensional
Scaling (DIMDS)
MDS
DIMDS
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DIMDS Performance
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DIMDS Order
MDS
DIMDS - order 1
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DIMDS - order 2
Data Exploration with SPPC
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Application – Intestinal Gastric Cancer
• DNA Microarray data
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Interactive Local Clustering Operations
[PacificVis 2010]
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Interactive Local Clustering Operations
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Local Clustering Operations
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Local Clustering Operations
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Interactive Local Clustering Operations
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Interactive Local Clustering Operations
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Parallel Coordinates Application in RFID
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[Vis 2009] (TVCG’09)
Demo
• Video
• PC application (NBA data)
• Software download
http://vis.pku.edu.cn/software/
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Visualization Research at Peking University
http://vis.pku.edu.cn
http://vis.pku.edu.cn/wiki
Email: [email protected]
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