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This project is investigating and developing methods for the recovery of 3D underground structures from subsurface non-invasive measurements obtained with ground penetrating radar, magnetometry, and conductivity sensors. The results will not only provide hints for further excavation but also 3D models that can be studied as if they were already excavated. The three fundamental challenges investigated are the inverse problem of recovering the volumetric material distribution, the segmentation of the underground volumes, and the reconstruction of the surfaces that comprise interesting structures.