Reconstruction of Electrical Tomography Images based on Parameter Estimation Method in Inverse Heat Transfer

Document Type : Research Article

Authors

1 Faculty of Mechanical Engineering, Tarbiat Modares University, Tehran, Iran

2 school of Mechanical Engineering, College of Engineering, University of Tehran, Tehran, Iran

Abstract

Electrical tomography is a non-invasive method that is used to visualize the internal structure of an object by applying voltage or current and using an image reconstruction algorithm. In spite of some advantages such as simplicity and low cost, the images of tomography systems have low resolution and quality. In addition to system hardware that causes errors, the reason behind the low-quality images is the reconstruction algorithms. In this research, the idea of image reconstruction by solving the heat conduction equations instead of solving electrical equations is used and the thermal conductivity distribution is calculated. For this purpose, the temperature of the active surface is changed and the generated heat flux between the active and other surfaces is measured. The Levenberg-Marquardt algorithm is employed to estimate the geometric parameters of the unknown objects. Three different test cases are selected to investigate the capability of the proposed algorithm in the estimation of the unknown geometries. The results show that the proposed algorithm has the ability to estimate unknown shapes. Sensitivity analysis is also performed in order to examine the effect of noise in the detection of unknown geometry. The results show that with increasing the value of noise, the shape estimation error increases, but the shape has a good agreement with the original geometry. Also, the results of choosing different combinations of active surfaces to create thermal flux show that in addition to the effectiveness of active surfaces in increasing the accuracy of shape estimation, unknown geometry can be estimated using two thermal flux measurements.

Keywords

Main Subjects

References

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Amirkabir Journal of Mechanical Engineering
Volume 53, Issue 1 (Special Issue)
April 2021
Pages 483-498

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