Tracking a selected point in vector field Liefei (Lucy) Xu Oct 2008
Track a point: Select a point Find the most similar point in later slices (how?) Tracking a point through time
Measure similarity between points 1. Extract attributes of each point - Vector Spin image 2. Compute similarity based on the attributes - χ 2 statistic distance
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
Selected Result tracking a singularity Vector DirectionStrength of dilationTensor magnitude
Selected Result tracking a regular point Vector DirectionStrength of dilationTensor magnitude
Selected Result tracking a point on ridge Vector DirectionStrength of dilationTensor magnitude
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