1. APRV – A Multidimensional Data Visualization ToolBy
Ashwini, Prasuna,
Ravi & Vijay

2. Problem Data - single valued multi-variate function
y = f (x1, x2, x3, …)
Mapping multiple dimensions on a 2D plane without loss of dimensionality
Generic visualization tool that is not constrained by the number of dimensions

3. Solution
Detail View with respect to a Focal Point represented as a horizontal Focal Line
(Fisheye Approach)
All neighboring points shown as vertical rays emitting from this Focal Line
Rays ordered by prioritizing dimensions

4. Rays [ray 0 1] x2 (0,4) [ ray 1 1] (0,3) (3,3) (0,2) (2,2) (0,1) (1,1)
(-3,0)
(-2,0)
(-1,0)
(0,0)
(1,0)
(2,0)
(3,0)
(-1,-1)
(0,-1)
(0,-2)
(-2,-2)
(0,-3)
(-3,-3)
(0,-4)
[ ray ]
[ ray 0 -1]

5. Focal Point [ray 0 1] x2 (5,9) [ ray 1 1] (5,8) (8,8) (5,7) (7,7)
(5,6)
(6,6)
[ ray -1 0] x1
[ ray 1 0]
(2,5)
(3,5)
(4,5)
(5,5)
(6,5)
(7,5)
(8,5)
(4,4)
(5,4)
(5,3)
(3,3)
(5,2)
(2,2)
(5,1)
[ ray ]
[ ray 0 -1]

6. Focal Line 1 0 1 1 1 -1 0 1 (7,5) (7,7) (7,3) (5,5) (x1, x2)
(7,5)
(7,7)
(7,3)
(5,5)
(x1, x2)
x1 has greater
priority over x2
(6,5)
(6,6)
(6,4)
(5,5)
(5,5)
(4,5)
(4,4)
(4,4)
(5,5)
(3,5)
(3,3)
(3,3)
(5,5)

7. Demo
Show me the Demo !!

8. Evaluation Scalability - for 7D, 3^7 = 2187 rays
- 1,000,000 data points for the median Focal point
More data around the Focal point shown
Effective utilization of screen space
High learning curve
Loss of data points proportional to no. of dimensions and sampling rate

9. Future Work Moving mouse over data points shows values
Multiple windows for sort on multiple dimensions
Multiple windows for multiple focal points
Better color scheme

10. Questions? Thank You