Computational methods for PDE constrained minimization problems in bio-mechanical imaging
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Authors
Tyagi, Mohit
Issue Date
2016-08
Type
Electronic thesis
Thesis
Thesis
Language
ENG
Keywords
Mechanical engineering
Alternative Title
Abstract
This dissertation is focused on the solution of this inverse problem. In particular, we develop and implement techniques that can account for additional data (force and traction data, and three-dimensional data acquired on subjects) and techniques that are numerically more robust. The inclusion of force and traction data leads to quantitative elasticity imaging techniques that have been shown to improve the diagnostic capabilities of elasticity imaging. The application of elasticity imaging to three-dimensional clinical data leads to three-dimensional mechanical images of tumors that should be useful in surgical planning and training. Finally, the development of robust and stable finite element methods leads to numerical methods that can handle noise more effectively.
Description
August 2016
School of Engineering
School of Engineering
Full Citation
Publisher
Rensselaer Polytechnic Institute, Troy, NY