Video Analysis via Nonlinear Dimensionality Reduction Technique Yi Li Colin Zheng
Roadmap Nonlinear Dimensionality Reduction Video Analysis LLE Isomap A trajectory thorough an image space Low dimension embedding
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
Bird Flying Sequence Input Tracking
Embedding
Scaling vs. non-scaling
Resized Bird
Temporal Super-Resolution
Ellipse Fitting
Running Original Input
LLE Embedding
Isomap Embedding
Fitting Input Input Original Output
Conclusion A powerful tool to discover the intrinsic low dimensionality in video trajectory Future Work Better distance metric More applications