Numerical simulation of anomalous diffusion with application to medical imaging
Data(s) |
2013
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Resumo |
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. |
Formato |
application/pdf |
Identificador | |
Publicador |
Queensland University of Technology |
Relação |
http://eprints.qut.edu.au/62068/1/Qiang_Yu_Thesis.pdf Yu, Qiang (2013) Numerical simulation of anomalous diffusion with application to medical imaging. PhD by Publication, Queensland University of Technology. |
Fonte |
School of Mathematical Sciences; Science & Engineering Faculty |
Palavras-Chave | #Fractional calculus #Anomalous diffusion #Fractional Bloch-Torrey equation #Numerical methods #Medical imaging |
Tipo |
Thesis |