Some projects I have been involved in:

Landmine detection using artificial intelligence and ground penetrating radar;

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Time-dependent inverse problems and statistical forecast; Ultra-short term weather prediction from radar rainfall maps (`nowcasting');

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Through-the-wall radar imaging;

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3D magnetic induction tomography for the noninvasive screening of boxes or containers;

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Data assimilation and modified Kalman Filters for the history matching of reservoirs from production data;

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Seismic full-waveform inversion with level sets;

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Cargo container screening using gravity/gradiometry;

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Inverse problems for the radiative transfer equation; Sparsity promoting regularization vs shape based methods; Total variation imaging;

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Structural inversion in microwave medical imaging;

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Crack detection in electrical impedance tomography using level sets;

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Level sets and adjoint fields for History Matching of petroleum reservoirs

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Level set methods for geophysical electromagnetic induction tomography

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Level set methods for cross-borehole electromagnetic environmental imaging;

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3D electromagnetic induction tomography in geophysics; Anisotropic media; Sensitivity analysis;

Diffuse Optical Tomography; X-ray tomography with scattering; Inverse Problems for the linear transport equation;