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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: xiaoru.yuan@pku.edu.cn