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26 June 1992Motion tracking of the left-ventricular surface
A framework for tracking the motion of surfaces with specific applications to the left- ventricular endocardial wall is outlined. We use an elastic model of the object with constraints on the types of motion for tracking the movement. Conformal stretching is measured from a system of coordinates based on the principal directions of a surface patch, and in addition, an energy for bending of a 3-D surface is defined. Once initial match vectors are obtained from the bending and stretching model, membrane smoothing with confidences optimizes the flow estimates. To this end, a linear vector equation in terms of components of flow vectors is derived which must be satisfied at all nodes of a finite element grid. The coupled system of equations are solved with relaxation techniques. Applications of the algorithms to real and simulated data are given at the end.
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Amir A. Amimi, Peng-Cheng Shi, James S. Duncan, "Motion tracking of the left-ventricular surface," Proc. SPIE 1660, Biomedical Image Processing and Three-Dimensional Microscopy, (26 June 1992); https://doi.org/10.1117/12.59564