Filtering Problems in Stochastic Tomography

Date Issued:: 2017
Abstract/Description:: Distinguishing signal from noise has always been a major goal in probabilistic analysis of data. Such is no less the case in the field of medical imaging, where both the processes of photon emission and their rate of absorption by the body behave as random variables. We explore methods by which to extricate solid conclusions from noisy data involving an X-ray transform, long the mathematical mainstay of such tools as computed axial tomography (CAT scans). Working on the assumption of having some prior probabilities assigned to various states a body can be found in, we introduce and make rigorous an understanding of how to condition these into posterior probabilities by using the scan data.

Title:	Filtering Problems in Stochastic Tomography.	37 views 16 downloads
Name(s):	Gomez, Tyler, Author Swanson, Jason, Committee Chair Yong, Jiongmin, Committee Member Tamasan, Alexandru, Committee Member Dogariu, Aristide, Committee Member University of Central Florida, Degree Grantor
Type of Resource:	text
Date Issued:	2017
Publisher:	University of Central Florida
Language(s):	English
Abstract/Description:	Distinguishing signal from noise has always been a major goal in probabilistic analysis of data. Such is no less the case in the field of medical imaging, where both the processes of photon emission and their rate of absorption by the body behave as random variables. We explore methods by which to extricate solid conclusions from noisy data involving an X-ray transform, long the mathematical mainstay of such tools as computed axial tomography (CAT scans). Working on the assumption of having some prior probabilities assigned to various states a body can be found in, we introduce and make rigorous an understanding of how to condition these into posterior probabilities by using the scan data.
Identifier:	CFE0006740 (IID), ucf:51839 (fedora)
Note(s):	2017-08-01 Ph.D. Sciences, Mathematics Doctoral This record was generated from author submitted information.
Subject(s):	tomography -- X-ray -- white noise
Persistent Link to This Record:	http://purl.flvc.org/ucf/fd/CFE0006740
Restrictions on Access:	campus 2022-08-15
Host Institution:	UCF

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