Statistics of the Geometry of Object Populations
Medical Image Display & Analysis Group
Co-authors: P. Thomas Fletcher, Conglin Lu, Sarang Joshi, Erik Dam, Roland Pilgram
Time and Place
Mauldin Auditorium (NSH 1305)
Talk 10:30 am
Probability distributions on geometric representations of objects or multi-object complexes are useful as priors in segmentation via posterior optimization of deformable models, for characterization of geometric differences between populations, e.g., of healthy and diseased anatomy, and for a variety of other objectives. These applications require localization, accurate estimation of probabilities from a few tens of sample cases, rich and intuitive characterization of geometric effects, and null probabilities for geometrically illegal objects. I will present an implemented mechanism for achieving these aims that is based on Markov random fields of geometric residues through multiple scale levels, considering objects as geometric transformations in symmetric spaces, finding means and principal geodesic components on these abstract curved spaces, and medial primitives. Probability distributions for a few anatomic objects and multi-object ensembles will be presented. While the mathematical level of this material is deep, the presentation level will be accessible to users and developers of image analysis methods.
PhD, Harvard, 1967. Dissertation work done at MGH is perhaps the first dissertation in medical image computing.
On faculty in Computer Science, Radiology, Radiation Oncology, and Biomedical Engineering at UNC since 1967.
Advisee of about 45 dissertations.
Head of MIDAG, the UNC Medical Image Display & Analysis Group, a group of over 110 from 11 departments.
Stephen M. Pizer, Kenan Professor of Computer Science,
Radiology, Radiation Oncology, and Biomedical Engineering,
Head of Medical Image Display and Analysis Group, Univ of NC
Phone: +1 919 962-1785
Admin. Asst.:+1 919 962-1768
Fax: +1 919 962-1799
222 Sitterson Hall, CB # 3175
Computer Science Department
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