1. Graphics and Visualizations in Dimensions Greater than Three
888.14J Summer 2002
Graphics and Visualizations in Dimensions Greater than Three

2. Why study high dimensions?
Obtain insights:
Time-dependent phenomena
Visualizations of high-dimensional geometry
Better data/geometry compression
Faster rendering scheme
Multivariate function data

3. High Dimensional Graphics
Muybridge 1876

4. High Dimensional Graphics (2)
Marey – Chronophotography ~ 1879

5. High Dimensional Graphics (3)
Balla
Leash in motion
Marcel Duchamp
Nude descending a staircase, 1912

6. High Dimensional Graphics (4)
4D lighting and geometry, Hanson et al

7. High Dimensional Graphics (5)
Motion Blur / Temporal Sampling

8. High Dimensional Graphics (6)
Time-varying isosurface extraction and tracking

9. High Dimensional Graphics (7)
Time-Varying Volume Rendering

10. Projects for this quarter
2-3 people group projects
Pick your project by the end of second weeks
Each group presents backgroud work and your project
Weekly meeting
Final project presentation

11. Possible Projects 4D surface/data decimation
4D lighting and rendering of real data
High dimensional data slicing and rendering tools
Novel time-dependent data volume/surface/NPR rendering techniques (motion blurred …)
4D (time-dependent) feature tracking

12. Possible Projects (cont’d)
4D volume rendering/transfer functions
Surface morphing
time-dependent geometry streaming
4D isosurface extraction and rendering
High dimensional visual data mining
4D data compressions and streaming