title: The tracking of boundaries in multidimensional medical images.
abstract: We became interested in the problems associated with boundary tracking in multidimensional spaces due to our involvement in medical imaging. We give as background our motivation from medicine. We define objects and their surfaces in discrete three-dimensional space and the state of the art in three-dimensional boundary tracking. Discussed are generalizations, conjectures, and open problems. Finally, we discuss what seems to us a suitable mathematical framework for future research in this area.
authors.affiliation: Department of Radiology, University of Pennsylvania, Philadelphia 19104.
authors.forename: G T
authors.initials: GT
authors.lastname: Herman
mesh_terms: D000465:Algorithms; D003196:Computer Graphics; D003626:Data Display; D003952:Diagnostic Imaging / Q000379:methods* / Q000639:trends; D005544:Forecasting; D007091:Image Processing, Computer-Assisted / Q000379:methods* / Q000639:trends; D013499:Surface Properties