Edward R. Vrscay

PhD

M. Ebrahimi, The mathematical problem of image enhancement and super resolution.
G. Mayer, Methods of super resolution for nuclear magnetic resonance imaging.
N. Portman, Modelling biological growth using the ``GRID'' model of random iteration of diffeomorphisms.

MMath

K. Timko, Bohmian mechanics of simple quantum mechanical systems.
Y. Li, Determining NMR relaxation times for porous media: Theory, measurement and the inverse problem.

PhD

S. Alexander, Thesis title: Multiscale methods for image analysis and synthesis (co-supervision with P. Fieguth, Department of Systems Design Engineering, UW) (2005).
M. Ghazel, Image Enhancement Using Fractal Methods (Ph.D. in Electrical and Computer Engineering, co-supervision with G. Freeman, E&CE).
C. Colijn, The de Broglie-Bohm Causal Interpretation of Quantum Mechanics and its Application to Some Simple Systems (2003).
D. Piche, Complex bases, number systems and their application to fractal-wavelet image coding (2002).
I. Ncube, Stochastic Approximation of Artificial Neural-Network Learning Algorithms: A Dynamical Systems Approach (2001) (co-supervision with S. A. Campbell, Dept. of Applied Mathematics).
M.G.A. Crawford, Generalized Coherent States and the Classical Limit in Quantum Mechanics (2000) (co-supervision with J. Paldus, Dept. of Applied Mathematics).

MMath

K.P. Wilkie, Mutual Information-Based Methods to Localize Image Registration (2005).
S. K. Alexander, Two- and Three-Dimensional Coding Schemes for Wavelet and Fractal-Wavelet Image Compression (2001).
T. J. Holly, Approximation of Functions and Images using Fractals and Wavelets (1998).
J. Silver, A Chaos-Game for Wavelet Analysis and Synthesis (1998).
D. W. Harder, Theory and Applications of Iterated Function Systems with Grey Level Maps (1997).
D. Piche (Pure Math - co-supervision with W. Gilbert), IFSM, Wavelets and Fractal-Wavelets: Three Methods of Approximation (1997).

J. Hackett, Bohmian mechanics and relaxation for a system of two particles in an infinite two-dimensional well (2003)
K. Wilkie, Mathematical methods for image and data fusion (2002)
J. Hicken, Inverse problems for ODEs using contraction maps (2001)