1. Decoupled Active Surface for Volumetric Image Segmentation
A. Mishra, P. Fieguth, and D. Clausi
Department of Systems Design Engineering, University of Waterloo

2. Objective

3. Eulerian-Langragian frame work
Background
Eulerian-Langragian frame work
Bayesian framework

4. Background (DAC)
A. Mishra, P. Fieguth, D. Clausi, Decoupled Active Contour (DAC) for boundary identification, TPAMI, 2010 (preprint)

5. Background (DAC)

6. Background DAC Step 1 : Measurement (Viterbi search)
Step 2: Generation of non-stationary prior
Step 3: Linear Bayesian Estimation

7. DAC to DAS (Non-trivial)
1. Representation: v(a, b) = [x(a, b), y(a, b), z(a, b)] is typically not a one-to-one map.

8. DAC to DAS (Non-trivial)
2. Implementing the Viterbi algorithm in 3D is difficult.
3. Surface resampling is a much more difficult task than curve resampling.
4. Solving Bayesian Estimator using DAC’s
Approach is computationally demanding for 3D problems

9. DAS Step 1 : Measurement (IQRS not Viterbi search)
Step 2: Generation of non-stationary prior
Step 3: Linear Bayesian estimation (modified conjugate gradient)

10. DAS

11. Step1: Measurement (IQRS)

12. Step1: Measurement (IQRS)

13. Resampling

14. Resampling
DEMO_DAS_with_witout_sampling1.gif

15. Bayesian Estimation

16. Results
DEMO_DAS_VFC1.gif

17. Results
DEMO_DAS_JB1.gif

18. Thank You