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High dimensional Data Visualization using Star Coordinates on Three Dimensions Elio Lozano and Edgar Acuna Department of Mathematics University of Puerto Rico at Mayaguez
Summary ,[object Object],[object Object]
Related work ,[object Object],[object Object],[object Object],[object Object],[object Object]
Star Coordinates ,[object Object],[object Object],[object Object],[object Object],Figure taken from Kandogan[1]
The Iris data set ,[object Object],[object Object],[object Object]
2D Star Coordinates plot of Iris data set
Enhanced 2D Star Coordinates of Iris data set with polygons and labels
Here the three dimensional vectors a 1 ,…a n  represent the axes.  Collinear points are mapped to the same point using star coordinates in three dimensions. To avoid this overlapping we introduce new parameters  to represent uniquely transformed points Three dimensional Star Coordinate Transformation where:  A data point  D j =(d j1 ,….d jn )  is mapped  on the 3 dimensional point  P j   given by
[object Object],[object Object],[object Object]
Pipeline of the 3D Star Coordinate Algorithm
Visualization of Iris using 3D star coordinates
Visualization of Iris  using 3D star coordinates  using polygons
Visualization of Iris using 3D star coordinates and wire frames
Visualization of two overlapped objects using different opacity
Visualization of Iris data set with labels THE INSTANCE 42 IS DETECTED AS  OUTLIER
References ,[object Object],[object Object],[object Object],[object Object],[object Object]

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High dimensional Data Visualization using Star Coordinates on Three Dimensions

  • 1. High dimensional Data Visualization using Star Coordinates on Three Dimensions Elio Lozano and Edgar Acuna Department of Mathematics University of Puerto Rico at Mayaguez
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  • 6. 2D Star Coordinates plot of Iris data set
  • 7. Enhanced 2D Star Coordinates of Iris data set with polygons and labels
  • 8. Here the three dimensional vectors a 1 ,…a n represent the axes. Collinear points are mapped to the same point using star coordinates in three dimensions. To avoid this overlapping we introduce new parameters to represent uniquely transformed points Three dimensional Star Coordinate Transformation where: A data point D j =(d j1 ,….d jn ) is mapped on the 3 dimensional point P j given by
  • 9.
  • 10. Pipeline of the 3D Star Coordinate Algorithm
  • 11. Visualization of Iris using 3D star coordinates
  • 12. Visualization of Iris using 3D star coordinates using polygons
  • 13. Visualization of Iris using 3D star coordinates and wire frames
  • 14. Visualization of two overlapped objects using different opacity
  • 15. Visualization of Iris data set with labels THE INSTANCE 42 IS DETECTED AS OUTLIER
  • 16.