SEMINARIESCHEMA FÖR MATEMATISK STATISTIK Tisdag 6/8 13.15 Fred Godtliebsen 1996 Department of Mathematics and Statistics, University of Tromso: Statistical Methods Applied in Medical Imaging Abstract: In medical applications information is frequently presented as two- or three-dimensional images. Unfortunately, such images are typically disturbed by different kinds of distortions. This talk will concentrate on magnetic resonance (MR) images although most of the methods can be applied in other areas as well. The (main) distortion in MR images can be characterized as independent and identically distributed normal noise. Three different aspects will be discussed: 1) Noise reduction. 2) Estimation of underlying tissue types. 3) Dynamic MR images. In part 1) we study local constant (and local linear) M estimators empirically and theoretically. Part 2) is solved by applying density estimation to binned data. From a practical point of view, the most important part of this talk is the description of statistical methods applied to dynamic MR images. Combining parts 1) and 3) makes the information available in dynamic MR images easier to interpret for radiologists. Lokal: Rum 227 i Mattehuset. Björn Holmquist 046-2228546