Type
Text
Type
Dissertation
Advisor
Mitchell, Joseph | Jiao, Xiangmin | Samulyak, Roman | Einstein, Daniel.
Date
2012-08-01
Keywords
Applied mathematics--Biomedical engineering
Department
Department of Applied Mathematics and Statistics
Language
en_US
Source
This work is sponsored by the Stony Brook University Graduate School in compliance with the requirements for completion of degree.
Identifier
http://hdl.handle.net/11401/71212
Publisher
The Graduate School, Stony Brook University: Stony Brook, NY.
Format
application/pdf
Abstract
Introduction of advantages of fluid dynamics simulations into clinical practice depends on ability to quickly create patient-specific computational models from computed tomography or magnetic resonance images with minimal human interaction. Our research addresses three steps in this process. First is identifying lung airways in radiological images. Our approach is based on a combination of geometric analysis of gradient vector flow and graph-based algorithms. Second is a novel method for robust and efficient computation of medial curves for complex biomedical geometries. This algorithm is based on three key concepts: a local orthogonal decomposition of geometry into substructures, a differential concept called the interior center of curvature, and integrated stability and consistency tests. Finally, we introduce variational method for generating prismatic boundary-layer meshes. Compared to existing methods, our approach is novel in the following aspects: it relies on feature size to make resulting mesh scale invariant and prevent global self-intersections; it uses face-offsetting method to propagate surface mesh to generate the high-quality prismatic layers; finally, it allows to add prismatic boundary layer to any tetrahedral mesh while preserving structural qualities of original discretization. | 114 pages
Recommended Citation
Dyedov, Volodymyr, "Automatic Mesh Generation and Processing for Biomedical Geometries" (2012). Stony Brook Theses and Dissertations Collection, 2006-2020 (closed to submissions). 418.
https://commons.library.stonybrook.edu/stony-brook-theses-and-dissertations-collection/418