This conference was devoted to the discussion of present and future techniques in medical imaging, including 3D X-ray CT, ultrasound and diffraction tomography, and biomagnetic imaging. The mathematical models, their theoretical aspects and the development of algorithms were explored. The proceedings contain surveys on the reconstruction of inverse obstacle scattering, inversion in 3D, and constrained least squares problems. Research papers include presentations on image reconstruction in Hilbert spaces, singular value decompositions, 3D cone beam reconstruction, diffuse tomography, regularization of ill-posed problems, evaluation reconstruction algorithms and applications in non-medical fields.