A direct D-bar reconstruction algorithm for complex admittivities in W2,∞(Ω) for the 2-D EIT problem
| dc.contributor.author | Hamilton, Sarah Jane, author | |
| dc.contributor.author | Mueller, Jennifer L., advisor | |
| dc.contributor.author | Duchateau, Paul, committee member | |
| dc.contributor.author | Tavener, Simon, committee member | |
| dc.contributor.author | Lear, Kevin, committee member | |
| dc.date.accessioned | 2007-01-03T08:11:22Z | |
| dc.date.available | 2007-01-03T08:11:22Z | |
| dc.date.issued | 2012 | |
| dc.description.abstract | Electrical Impedance Tomography (EIT) is a fairly new, portable, relatively inexpensive, imaging system that requires no ionizing radiation. Electrodes are placed at the surface of a body and low frequency, low amplitude current is applied on the electrodes, and the resulting voltage value on each electrode is measured. By applying a basis of current patterns, one can obtain sufficient information to recover the complex admittivity distribution of the region in the plane of the electrodes. In 2000, Elisa Francini presented a nearly constructive proof that was the first approach using D-bar methods to solve the full nonlinear problem for twice-differentiable conductivities and permittivities. In this thesis the necessary formulas to turn her proof into a direct D-bar reconstruction algorithm that solves the full nonlinear admittivity problem in 2-D are described. Reconstructions for simulated Finite Element data for circular and non-circular domains are presented. | |
| dc.format.medium | born digital | |
| dc.format.medium | doctoral dissertations | |
| dc.identifier | Hamilton_colostate_0053A_11247.pdf | |
| dc.identifier.uri | http://hdl.handle.net/10217/68173 | |
| dc.language | English | |
| dc.language.iso | eng | |
| dc.publisher | Colorado State University. Libraries | |
| dc.relation.ispartof | 2000-2019 | |
| dc.rights | Copyright and other restrictions may apply. User is responsible for compliance with all applicable laws. For information about copyright law, please see https://libguides.colostate.edu/copyright. | |
| dc.subject | Calderon problem | |
| dc.subject | inverse problems | |
| dc.subject | inverse conductivity problem | |
| dc.subject | D-bar | |
| dc.title | A direct D-bar reconstruction algorithm for complex admittivities in W2,∞(Ω) for the 2-D EIT problem | |
| dc.type | Text | |
| dcterms.rights.dpla | This Item is protected by copyright and/or related rights (https://rightsstatements.org/vocab/InC/1.0/). You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s). | |
| thesis.degree.discipline | Mathematics | |
| thesis.degree.grantor | Colorado State University | |
| thesis.degree.level | Doctoral | |
| thesis.degree.name | Doctor of Philosophy (Ph.D.) |
Files
Original bundle
1 - 1 of 1
Loading...
- Name:
- Hamilton_colostate_0053A_11247.pdf
- Size:
- 2.58 MB
- Format:
- Adobe Portable Document Format
- Description: