1. Tracking a selected point in vector field Liefei (Lucy) Xu Oct 2008

2. 12341234 1 2 3 4 Track a point:  Select a point  Find the most similar point in later slices (how?) Tracking a point through time

3. Measure similarity between points 1. Extract attributes of each point - Vector Spin image 2. Compute similarity based on the attributes - χ 2 statistic distance

4. Test and adjustment We test and adjust our algorithm on below parameters: – Different types of selected point: singularities, ridges, regular points – Different attributes for spin image: vector direction, vector magnitude, strength of rotation, strength of dilation, strength of stretch, direction of stretch, tensor magnitude – Different radius of spin image: 2*20, 5*60, 8*120

5. Selected Result tracking a singularity 12341234 Vector DirectionStrength of dilationTensor magnitude

6. Selected Result tracking a regular point Vector DirectionStrength of dilationTensor magnitude 12341234

7. Selected Result tracking a point on ridge Vector DirectionStrength of dilationTensor magnitude 123123

8. Uniqueness and Strength Topological methodOur Statistic method A lot of research has been done A novel method Depends on singularitiesWorks for both singularity and non-singularity vector field Sensitive to noiseRobust to noise AmbiguityAvoids the ambiguity problem