University of California, Riverside

Department of Electrical and Computer Engineering

Non-rigid Correspondence of Dynamic and Static Curves and Surfaces in Medical Images

Non-rigid Correspondence of Dynamic and Static Curves and Surfaces in Medical....
Hemant D. Tagare
School of Engineering and Applied Physics and School of Medicine
Yale University, New Haven, CT

Date: April 26, 2004
Time: 11:00 am
Location: Bourns Hall A265

Many medical image analysis problems require us to identify homologous points between organ boundaries in images of different subjects, or between images of the same subject taken at different times. Heart motion analysis, quantitative brain morphology, and biological growth analysis have this problem in common. The set of homologous points between two curves or two surfaces is called a correspondence. In bio-medical image analysis, the correspondence is often required to be non-rigid and shape preserving. In this talk, I will present a mathematical and computational framework for defining and calculating non-rigid correspondences between curves and surfaces in medical images. A general class of correspondences called bimorphisms will be defined. I will present the topology of bimorphisms, and show how the optimal bimorphism (i.e. the optimal correspondence) between curves and surfaces can be computed. I will present experimental results from the application of this analysis to heart motion and to brain morphology.


Dr. Tagare obtained his Ph.D. in Electrical Engineering from Rice University in 1990. Since then he has been at Yale University where he holds a joint appointment of Associate Professor in the School of Engineering and Applied Physics and the School of Medicine. His research is concerned with computational and mathematical problems in bio-medical image analysis. His research has received awards at international conferences and was showcased by N.I.H. during the Roentgen Centenary celebrations.
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