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IPAG Dissertation Archive

Image Analysis of 3D Cardiac Motion

Using Physical and Geometrical Models

A Dissertation

Presented to the Faculty of the Graduate School


Yale University

in Candidacy for the Degree of

Doctor of Philosophy


Pengcheng Shi

Dissertation Director: James Scott Duncan

May 1996


A novel approach has been developed to analyze the three-dimensional non-rigid motion and deformation of the left ventricle of the heart from medical images. The hypothesis is that a continuum biomechanical model based, integrated approach which allows information integration of multiple complementary imaging data can more accurately and objectively quantify the motion and deformation of the left ventricle. This approach also provides a natural framework to incorporate physical constraints related to known cardiac parameters.

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.

BibTeX Entry

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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