Gaussian window function for image reconstruction for electrical capacitance tomography

A reconstruction algorithm based on the Gaussian window function was developed to improve the quality of reconstructed images for electrical capacitance tomography. The system uses spectral filtering with the proper power of the spectral filter based on the Gaussian window function, measurement error instabilities and the small singular values of the sensitivity matrix. Simulations using five typical permittivity distributions provide reconstruction results that are better with some clearer contours than Tikhonov regularization. The numerical results verify the feasibility of the image reconstruction algorithm using the Gaussian window function for regularization.