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)
Questions regarding the content of this page should be directed to the group director.
Questions or bug reports regarding this interface should go to
Home Page, firstname.lastname@example.org