IPAG Dissertation Archive
Presented to the Faculty of the Graduate School
in Candidacy for the Degree of
Doctor of Philosophy
Dissertation Director: James Scott Duncan
The left ventricle model is built upon continuum mechanics and is embedded in a finite element framework, represented by a three-dimensional volumetric mesh. The motion field on the myocardial boundaries is determined based on locating and matching differential geometric features of the endocardial and epicardial surfaces. A mathematical optimization strategy is used to combine a locally coherent smoothness model with data-derived information. In addition, magnetic resonance phase contrast images provide robust instantaneous velocity information within the myocardial wall. A finite element framework and the governing equations of the system have been constructed, and the mid-wall velocity and the boundary displacement vectors are used as data-based constraints within the integration process. Displacement and strain measures are derived from the solution of the system.
The algorithms have been implemented and applied to three-dimensional images of normal and infarcted hearts. These algorithm-derived results are statistically compared to implanted marker-derived measures for validation purposes.
@PhDthesis(ShiThesis, author = "Pengcheng Shi", title = "Image Analysis of 3D Cardiac Motion Using Physical and Geometrical Models", school = "Yale University", month = "May", year = "1996")
The complete text of the thesis is available as a .pdf file. (239 pages, 6.4 MB)
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