A1626
Title: Spatial confidence regions for combinations of excursion sets in image analysis
Authors: Thomas Maullin-Sapey - University of Bristol (United Kingdom) [presenting]
Abstract: The comparison of random fields obtained across the same spatial region but under different study conditions is essential to a wide range of disciplines such as neuroimaging, climatology and cosmology. While much literature has documented the geometric and topological properties of excursion sets of random fields, surprisingly, little has been published concerning how such excursion sets may be compared to one another. The aim is to describe how confidence regions (CRs) may be used to characterize the spatial uncertainty of the intersection and union of several excursion sets obtained under different study conditions. These regions are of natural interest as they directly correspond to questions of the form "Where do all random fields exceed a predetermined threshold?'' and "Where does at least one random field exceed a predetermined threshold?''. The general method is first described, and then an illustration of its use is provided in assessing spatial uncertainty in fMRI analyses of human brain activity.
