David Nott: Multi-phase excursion set image models Excursion sets of random fields, which are obtained by ``thresholding'' a random field at some level, can be used to define random set models for binary images. Some image models based on excursion sets which are appropriate for multi-phase image data will be discussed. The methods will be applied to Diggle's heather incidence data and to some images of core samples of sulphide ores.