Dr. Wiskin's HomePage
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B. Math, Waterloo, Ontario, Canada
M.Sc. Dalhousie U., Nova Scotia, Can
Ph.D. (Math) University of Utah. |
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INTERESTS AND AREAS OF RESEARCH
Imaging with acoustic wave energy
Ultrasound Imaging of the human breast,
simulation of wave propagation through human tissue
Advanced SONAR applications, detection
of buried mines, wave propagation through porous media, BIOT theory
Non-destructive evaluation, inverse
scattering problem. For
more info click here
Imaging with electromagnetic waves
Ground penetrating radar,
nondestructive evaluation, quantitative light microscopy, Inverse
scattering problem.
For
more info on EM imaging, click here
Imaging with elastic waves
nondestructive evaluation
Imaging with electromagnetic diffusive wave
energy
Buried hazardous waste
(DNAPL) imaging, cell imaging.
Computational electromagnetics
Efficient wave propagation,
Integral equation frequency domain (IE), finite difference time domain,
beam propagation methods (split step Fourier, marching methods), BPM
Computational elastodynamics
differential geometric formulation
of elastodynamics, IE , FDTD, BPM
Constrained Nonlinear optimization
Homotopy methods, Ribiere-Polak,
differential geometric methods, sequential quadratic programming,
Infinite
and finite dimensional systems, genetic algorithms, Interior point methods,
primal methods, dual methods, Lagrangian methods
Nonlinear systems in Bioengineering
Neural Networks, applications and
control of chaos, differential geometric methods, Lie group symmetries.
Image Processing, Pattern Recognition
Enhancement, extraction, segmentation,
automatic recognition, multi-dimensional Wavelet based methods, computer
aided diagnosis.
Java, C++, Javascript, Maple, Matlab, HTML,
XML based educational systems
Financial Models
Complex Behaviour
Complex behavior abounds in biological
systems, and generally occurs in two major forms: self interaction in multi-component
systems, and systems modelled by nonlinear equations. Differential geometry,
chaos theory/control, and dynamical systems.
Piano, keyboards
History
Dr. Wiskin's training is in mathematical modelling, differential
geometry, scientific computation, quantum and field theory. In the
past, he has modelled such things as acetylcholine release from neurons,
and with the aid of several on-campus computers he is presently modelling
electromagnetic, acoustic and elastic classical fields in various media
with microstructure. These models can be used to image biologically, environmentally
and medically relevant characteristics. He is also applying differential
geometric ideas, via the computer, to various problems in nonlinear systems
theory and optimization.
List
of Publications
more
dolphins