Medical Imaging

Wave equation for acoustic fields. Solution in one and three dimensions. Approximations for long wavelengths (Poisson's equation) and short wave lengths (ray theory). Ultrasound transducers and beam forming. Scattering of ultrasound from soft tissue. Modelling of ultrasound imaging. The Doppler effect from moving scatterers. Measurement and imaging of blood velocities and contraction in the heart muscle. Wave equation for electromagnetic (EM) fields. Fields from active biological EM sources like neuro and muscle cells. Determination of sources from field measurements (Inverse problem). Optical measurements and imaging. X-Ray computer tomography. Magnetic resonance imaging of soft tissue.

The course shall gives fundamental knowledge about physical phenomena, mathematical modelling, and algorithms used in medical imaging.

Lectures, calculation exercises, demonstrations. Postponed/repeated exams may be oral.