# Continuous Tracking of Structures from an Image Sequence

### Yann Lepoittevin, Dominique Béréziat, Isabelle Herlin, Nicolas Mercier

#### Abstract

The paper describes an innovative approach to estimate velocity on an image sequence and simultaneously segment and track a given structure. It relies on the underlying dynamics’ equations of the studied physical system. A data assimilation method is applied to solve evolution equations of image brightness, those of motion’s dynamics, and those of distance map modelling the tracked structures. Results are first quantified on synthetic data with comparison to ground-truth. Then, the method is applied on meteorological satellite acquisitions of a tropical cloud, in order to track this structure on the sequence. The outputs of the approach are the continuous estimation of both motion and structure’s boundary. The main advantage is that the method only relies on image data and on a rough segmentation of the structure at initial date.

#### References

- Avenel, C., Mémin, E., and Pérez, P. (2009). Tracking closed curves with non-linear stochastic filters. In Conference on Space-Scale and Variational Methods.
- Béréziat, D. and Herlin, I. (2011). Solving ill-posed image processing problems using data assimilation. Numerical Algorithms, 56(2):219-252.
- Bertalmío, M., Sapiro, G., and Randall, G. (2000). Morphing active contours. Pat. Anal. and Mach. Int., 22(7):733-737.
- Hascoët, L. and Pascual, V. (2004). Tapenade 2.1 user's guide. Technical Report 0300, INRIA.
- Papadakis, N. and Mémin, E. (2008). Variational assimilation of fluid motion from image sequence. SIAM Journal on Imaging Sciences, 1(4):343-363.
- Peterfreund, N. (1999). Robust tracking of position and velocity with kalman snakes. Pat. Anal. and Mach. Int., 21(6):564-569.
- Rathi, Y., Vaswani, N., Tannenbaum, A., and Yezzi, A. (2007). Tracking deforming objects using particle filtering for geometric active contours. Pat. Anal. and Mach. Int., 29(8):1470-1475.
- Yilmaz, A., Javed, O., and Shah, M. (2006). Object tracking: A survey. ACM Computing Surveys, 38(4 2006):13.
- Zhu, C., Byrd, R., Lu, P., and Nocedal, J. (1997). L-bfgsB: Algorithm 778: L-bfgs-B, FORTRAN routines for large scale bound constrained optimization. ACM Transactions on Mathematical Software, 23(4):550- 560.

#### Paper Citation

#### in Harvard Style

Lepoittevin Y., Béréziat D., Herlin I. and Mercier N. (2013). **Continuous Tracking of Structures from an Image Sequence** . In *Proceedings of the International Conference on Computer Vision Theory and Applications - Volume 2: VISAPP, (VISIGRAPP 2013)* ISBN 978-989-8565-48-8, pages 386-389. DOI: 10.5220/0004278503860389

#### in Bibtex Style

@conference{visapp13,

author={Yann Lepoittevin and Dominique Béréziat and Isabelle Herlin and Nicolas Mercier},

title={Continuous Tracking of Structures from an Image Sequence},

booktitle={Proceedings of the International Conference on Computer Vision Theory and Applications - Volume 2: VISAPP, (VISIGRAPP 2013)},

year={2013},

pages={386-389},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0004278503860389},

isbn={978-989-8565-48-8},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the International Conference on Computer Vision Theory and Applications - Volume 2: VISAPP, (VISIGRAPP 2013)

TI - Continuous Tracking of Structures from an Image Sequence

SN - 978-989-8565-48-8

AU - Lepoittevin Y.

AU - Béréziat D.

AU - Herlin I.

AU - Mercier N.

PY - 2013

SP - 386

EP - 389

DO - 10.5220/0004278503860389