Microwave imaging is a non-ionizing method promising an ability of depth-scanning different biological bodies. The research in this area started in the late 70s and many contributions has been achieved by different groups until present, which has influenced and open up new possibilities of the technique. This document will review the historical work by the different groups to settle objectives of the research in microwave imaging at the Department of Computer Science and Electronics at Mälardalen University and the plan of the author’s Ph. D. studies. The planar 2.45 GHz microwave camera located at Supélec, France, may be a very useful platform in early studies of the three-dimensional properties of microwave imaging for breast tumor detection. By applying the developed Newton- Kantorovich algorithm to the planar camera a solid state of the art platform for quantitative reconstruction of inhomogeneous objects may be established.