# MODEL-BASED CAVITY SHAPE ESTIMATION IN A GAS-LIQUID SYSTEM WITH NONUNIFORM IMAGE SAMPLING

### Magnus Evestedt, Alexander Medvedev

#### Abstract

A water model is studied to simulate physical phenomena in the Lintz-Donawitz steel converter. The depression in the liquid, due to the impinging gas jet, is measured by means of a video camera. Image processing tools are used to extract the edge of the surface indentation. The measured edge, sampled in a special way, is used together with a nonlinear mathematical model to obtain a description of the cavity profile. The parameters of the mathematical model are optimized to match the registered cavity edge in the image at a set of sampled points. Three ways of choosing sampling points for the optimization are proposed and compared on simulated as well as experimental data. An approach involving an observer decreases the computation time with an acceptable loss of accuracy of the estimates.

#### References

- Berghmans, J. (1972). Theoretical investigation of the interfacial stability of inviscid fluids in motion, considering surface tension. Journal of Fluid Mechanics, 54:129- 141.
- Birk, W., Arvanitidis, I., Jönsson, P., and Medvedev, A. (2003). Foam level control in a water model of the

#### Paper Citation

#### in Harvard Style

Evestedt M. and Medvedev A. (2006). **MODEL-BASED CAVITY SHAPE ESTIMATION IN A GAS-LIQUID SYSTEM WITH NONUNIFORM IMAGE SAMPLING** . In *Proceedings of the First International Conference on Computer Vision Theory and Applications - Volume 1: VISAPP,* ISBN 972-8865-40-6, pages 365-370. DOI: 10.5220/0001367503650370

#### in Bibtex Style

@conference{visapp06,

author={Magnus Evestedt and Alexander Medvedev},

title={MODEL-BASED CAVITY SHAPE ESTIMATION IN A GAS-LIQUID SYSTEM WITH NONUNIFORM IMAGE SAMPLING},

booktitle={Proceedings of the First International Conference on Computer Vision Theory and Applications - Volume 1: VISAPP,},

year={2006},

pages={365-370},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0001367503650370},

isbn={972-8865-40-6},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the First International Conference on Computer Vision Theory and Applications - Volume 1: VISAPP,

TI - MODEL-BASED CAVITY SHAPE ESTIMATION IN A GAS-LIQUID SYSTEM WITH NONUNIFORM IMAGE SAMPLING

SN - 972-8865-40-6

AU - Evestedt M.

AU - Medvedev A.

PY - 2006

SP - 365

EP - 370

DO - 10.5220/0001367503650370