Multi-Dimensional Data Visualization (Parallel Coordinates) · 2021. 2. 5. · 1 Multi-Dimensional...
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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] [EuroVis’09] (CGF’09)
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Polyline Splatter
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Segment Splatter
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Scatter Plots
From sas.comScatter Plot Scatter Plot Matrix
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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
[InfoVis’09] (TVCG’09)
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SPPC – Converting Lines into Points
Scatter PlotParallel Coordinates
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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
Parallel Coordinates
Scatter Plots
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 DIMDS - order 2
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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
[Vis 2009] (TVCG’09)
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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.cnhttp://vis.pku.edu.cn/wiki
Email: [email protected]