Two and three-dimensional motion models for the left-ventricular wall

The authors present a unified framework for visual motion tracking of nonrigid objects with specific applications to the left ventricular endocardial wall motion. The theory is based on differential geometry and considers both two-dimensional contours and three-dimensional surfaces and in each case uses an elastic model of the object with constraints on the types of motion allowed for tracking the movement. The basic theme in both two- and three-dimensional analysis is to match shape properties in consecutive time instances and deduce quantitative information about the motion of the wall