1. ICCV 2007 Optimization & Learning for Registration of Moving Dynamic Textures Junzhou Huang 1, Xiaolei Huang 2, Dimitris Metaxas 1 Rutgers University 1, Lehigh University 2

2. ICCV 2007 Outline Background Goals & Problems Related Works Proposed Method Experiment Results Discussion & Conclusion

3. ICCV 2007 Background Dynamic textures (DT) –static camera, exhibits a certain stationary Moving Dynamic textures (MDT) –dynamic textures captured by a moving camera DT, [Kwatra et al. SIGGRAPH’03]MDT, [Fitzgibbon ICCV’01]

4. ICCV 2007 Background Video registration –Required by many video analysis applications Traditional assumption –Static, rigid, brightness constancy –Bergen et al. ECCV’92, Black et al. ICCV’93 Relaxing rigid assumption –Dynamic textures –Doretto et al. IJCV’03, Yuan at al. ECCV’04, Chan et al. NIPS’05, Lin et al. PAMI’07, Rav-Acha at al. Workshop at ICCV’05

5. ICCV 2007 Our Goals Registration of MDT –Recover the camera motion and register the image sequences including moving dynamic textures Left TranslationRight Translation

6. ICCV 2007 Complex Optimization Problems Complex optimization –Camera motion, dynamic texture model –Chicken-and-Egg Problems Challenges –About the mean images –About LDS model –About the camera motion?

7. ICCV 2007 Related Works Fitzgibbon, ICCV’01 –Pioneering attempt –Stochastic rigidity –Non-linear optimization Vidal et al. CVPR’05 –Time varying LDS model –Static assumption in small time window –Simple and general framework but under estimation

8. ICCV 2007 Formulation Registration of MDT –I(t), the video frame – camera motion parameters –y 0, the desired average image of the video –y(t), related with appearance of DT –x(t), related with dynamics of DT

9. ICCV 2007 Generative Model Generative image model for a MDT

10. ICCV 2007 First Observation Good registration –a good registration according to the accurate camera motion should simplify the dynamic texture model while preserving all useful information –Used by Fitzgibbon, ICCV’01, Minimizing the entropy function of an auto regressive process –Used by Vidal, CVPR’05, optimizing time varying LDS model by optimizing piecewise LDS model

11. ICCV 2007 Second Observation Good registration –A good registration according to the accurate camera motion should lead to a sharp average image whose statistics of derivative filters are similar to those of the input image frames. Image statistics –Student-t distribution / heavy tailed image priors – Huang et al. CVPR’99, Roth et al. CVPR’05

12. ICCV 2007 Prior Models The Average image priors The motion priors The dynamic priors

13. ICCV 2007 Average Image Priors Student-t distribution –Model parameters / contrastive divergence method (a) Before registration, (b) in the middle of registration (c) after registration

14. ICCV 2007 Motion / Dynamic Priors Gaussian Perturbation (Motion) –U ncertainty in the motion modeled by a Gaussian perturbation about the mean estimation M 0 / the covariance matrix S ( a diagonal matrix.) –Motivated by the work [Pickup et al. NIPS’06] GPDM / MAR model (Dynamic) –M arginalizing over all possible mappings between appearance and dynamics –Motivated by the work [Wang et al. NIPS’05] [Moon et al. CVPR’06]

15. ICCV 2007 Joint Optimization Generative image model Optimization –Final marginal likelihood –Scaled conjugate gradients algorithm (SCG)

16. ICCV 2007 Procedures Obtaining image derivative prior model Dividing the long sequence into many short image sequences Initialization for video registration Performing model optimization with the proposed prior models until model convergence. With estimated y0, Y and X, the camera motion is then obtained

17. ICCV 2007 Obtaining Data Three DT video sequences –DT data, [Kwatra et al. SIGGRAPH’03] Synthesized MDT video sequence –60 frames each, no motion from 1 st to 20 th frame and from 41 st to 60 th –Camera motions with speed [1, 0] from 21 st to 40 th

18. ICCV 2007 Grass MDT Video The average image (a) One frame, (b) the average image after registration, (c) before registration

19. ICCV 2007 Grass MDT Video The statistics of derivative filter responses

20. ICCV 2007 Evaluation / Comparison False Estimation Fraction Comparison with two classical methods –Hybrid method, [Bergen et al. ECCV’92] [Black et al. ICCV’93] –Vidal’method, [Vidal et al. CVPR’05]

21. ICCV 2007 Waterfall MDT Video Motion estimation (a) Ground truth, (b) by hybrid method, (c) by Vidal’s, (d) proposed

22. ICCV 2007 Waterfall MDT Video The average Image and its statistics The average image and related distribution after registration by (a) proposed method, (b) Vidal’s method, (c) hybrid method

23. ICCV 2007 FEF Comparisons On three synthesized MDT video

24. ICCV 2007 Real MDT Video Moving flower bed video Ours –554 frames totally –Ground truth 110 pixels –Estimation 104.52 pixels ( FEF 4.98%) Vidal’s –250 frames –Ground truth 85 pixels –Estimation 60 pixels ( FEF 29.41%)

25. ICCV 2007 Conclusions What proposing: –Powerful priors for MDT registration What getting out: –Camera motions –Average image –Dynamic texture model What learning? –Registration simplify DT model while preserving useful information –Better registration lead to sharper average image

26. ICCV 2007 Thanks !

27. ICCV 2007 Thanks !

28. ICCV 2007 Future Works More complex camera motions Different Metric functions for evaluation Multiple dynamic texture segmentation