1. Video Analysis via Nonlinear Dimensionality Reduction Technique
Yi Li
Colin Zheng

2. Roadmap Nonlinear Dimensionality Reduction Video Analysis LLE Isomap
A trajectory thorough an image space
Low dimension embedding

3. Problem Setting Input Analysis Output
Image Sequence: each image is a point in a high dimensional space
Analysis
Use nonlinear dimensionality reduction technique
Use L2 Norm as distance metric
Output
A trajectory in a low dimensional space

4. Bird Flying Sequence
Input
Tracking

5. Embedding

6. Scaling vs. non-scaling

7. Resized Bird

8. Temporal Super-Resolution

9. Ellipse Fitting

10. Running
Original
Input

11. LLE Embedding

12. Isomap Embedding

13. Fitting
Input
Input
Original
Output

14. Conclusion
A powerful tool to discover the intrinsic low dimensionality in video trajectory
Future Work
Better distance metric
More applications