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This thesis is a study of the probabilistic relationship between objects in an image and image appearance. We give a hierarchical, probabilistic criterion for the Bayesian segmentation of photographic images. We validate the segmentation against the Berkeley Segmentation Data Set, where human subjects were asked to partition digital images into segments each representing a 'distinguished thing'. We show that there exists a strong dependency between the hierarchical segmentation criterion, baseddoi:10.20381/ruor-12181 fatcat:xwtmyvoxdbh27gt66shc6pvpia