Computational methods for PDE constrained minimization problems in bio-mechanical imaging
Authors
Tyagi, Mohit
ORCID
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Other Contributors
Oberai, Assad
Barbone, Paul E.
Sahni, Onkar
Hicken, Jason
Barbone, Paul E.
Sahni, Onkar
Hicken, Jason
Issue Date
2016-08
Keywords
Mechanical engineering
Degree
PhD
Terms of Use
This electronic version is a licensed copy owned by Rensselaer Polytechnic Institute, Troy, NY. Copyright of original work retained by author.
Full Citation
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
Department
Dept. of Mechanical, Aerospace, and Nuclear Engineering
Publisher
Rensselaer Polytechnic Institute, Troy, NY
Relationships
Rensselaer Theses and Dissertations Online Collection
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