University of Utah
Department of Mathematics

Math 6880-3 / 5750-3   Computational Inverse Problems
  T Th      2:00 - 3:20 pm     LS 111

Texts:  Computational Methods for Inverse Problems, Curtis Vogel, SIAM Rank Deficient and Discrete Ill-posed Problems, P.C. Hansen, 1998 Parameter Estimation and Inverse Problems,   R. Aster, B. Borchers, C. Thurber, 2005      Instructor:   Elena Cherkaev Office: LCB 206   ph: 581-7315   email:elena@math.utah.edu http://www.math.utah.edu/~elena/

              Matlab codes  can be downloaded from the authors' website:
http://www.math.montana.edu/~vogel/

http://www2.imm.dtu.dk/~pch/Regutools/

The course will discuss formulation and examples of inverse problems in medical and geophysical imaging, non-destructive testing and image processing, optical imaging and inverse bioelectric problem, inverse scattering and electric sounding, acoustic and seismic imaging, ultrasound and X-ray computed tomography, and other problems.

We will discuss de-convolution methods, ill-posedness, various regularization techniques, choice of regularization parameters, iterative methods for non-linear problems, statistical estimation methods, non-convex optimization techniques in image procesiing, frequency and time-domain problems.

The course is addressed to graduate and senoir undergraduate students in mathematics, science, and engineering.