Numerical simulation of anomalous diffusion with application to medical imaging

Yu, Qiang (2013) Numerical simulation of anomalous diffusion with application to medical imaging. PhD by Publication, Queensland University of Technology.

Abstract

The first objective of this project is to develop new efficient numerical methods and supporting error and convergence analysis for solving fractional partial differential equations to study anomalous diffusion in biological tissue such as the human brain. The second objective is to develop a new efficient fractional differential-based approach for texture enhancement in image processing. The results of the thesis highlight that the fractional order analysis captured important features of nuclear magnetic resonance (NMR) relaxation and can be used to improve the quality of medical imaging.

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Full-text downloads:

524 since deposited on 30 Aug 2013
92 in the past twelve months

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ID Code: 62068
Item Type: QUT Thesis (PhD by Publication)
Supervisor: Turner, Ian, Mengersen, Kerrie, Liu, Fawang, & Vegh, Viktor
Keywords: Fractional calculus, Anomalous diffusion, Fractional Bloch-Torrey equation, Numerical methods, Medical imaging
Divisions: Current > Schools > School of Mathematical Sciences
Current > QUT Faculties and Divisions > Science & Engineering Faculty
Institution: Queensland University of Technology
Deposited On: 30 Aug 2013 00:42
Last Modified: 03 Sep 2015 04:37

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