Gas Jet Impinging on Liquid Surface: Cavity Shape Modelling and Video-Based Estimation

Evestedt, Magnus; Medvedev, Alexander

doi:10.3182/20050703-6-cz-1902.00178

Cited by 12 publications

(10 citation statements)

References 8 publications

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“…In (Berghmans, 1972) a mathematical model for the gas-jet system was suggested. The model was investigated further in (Evestedt and Medvedev, 2005), where it was reformulated in state-space form as…”

Section: Problem Formulationmentioning

confidence: 99%

“…Define a set of coordinates as M ∈ R 2 , and N as the number of pixels in the set (cardinal number of M ). In (Evestedt and Medvedev, 2005), the following criterion function is used to estimate the parameters in (1) by optimization.…”

Section: Problem Formulationmentioning

confidence: 99%

“…The optimization is performed over the set M , using fminsearch in Matlab c . In the following, the approach in (Evestedt and Medvedev, 2005), where all data points, obtained by edge detection, belong to M , will be referred to as Scheme 1.…”

Section: Problem Formulationmentioning

confidence: 99%

“…In (Evestedt and Medvedev, 2005) the cavity surface model in (Berghmans, 1972) was used, together with experimental data from a water model, to approximate the surface deformation and to quantify the uncertainty of the depth and diameter estimates. The uncertainty was shown to decrease when the temporal dynamics of the cavity were modelled as a sum of sine waves.…”

Section: Introductionmentioning

confidence: 99%

“…In this paper a sampling algorithm to improve the efficiency of the estimation procedure in (Evestedt and Medvedev, 2005) is given. The paper is organized as follows: First a system model is introduced.…”

Section: Introductionmentioning

confidence: 99%

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Model-Based Cavity Shape Estimation in a Gas-Liquid System With Nonuniform Image Sampling

Evestedt¹,

Medvedev²

2006

Proceedings of the First International Conference on Computer Vision Theory and Applications

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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.

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Section: Problem Formulationmentioning

confidence: 99%

Section: Problem Formulationmentioning

confidence: 99%

Section: Problem Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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