Isaac Newton Programme

The Isaac Newton Institute in Cambridge has a programme this half year on Inverse Problems and the videos of the introductory course are on line this week.

The first workshop is on this week and will be on line soon. There are some things
relevant to EIT reconstruction in this week as well

Break for now at least

Andy has not yet managed to make an EIDORS video a tutorial. I suggest we take a break for now. But I am open to suggestions. Reply in comments with things you would like me to talk about, or find someone else to talk about. Applications springs to mind for one thing. Some of us are learning about lung EIT and lung mechanics. Others geophysical EIT.

EIDORS playtime at 11 today

Instead of a lecture today I have booked the small computer cluster downstairs in the Alan Turing Building. I intend we shall have a play with EIDORS. I am currently faffing about getting netgen etc working on windoze!

If you are looking for it go past Pi in The Sky and take the second door on right.

No lecture tomorrow

I had been planning a demo of EIDORS but as my laptop has died it is proving too difficult to set up. Locals may be interested in The Numerical Analysis and Scientific Computing Seminar tomorrow (Friday 5th Nov)

Paul Childs (Schlumberger Cambridge Research)
Challenges in seismic imaging
3pm Frank Adams 1 Alan Turing Building

Lecture 6 Sharp changes

This lecture concentrated on reconstruction algorithms for sharp changes. I concentrated mainly on Monotonicity method and Factorization. I referred to the slides for a talk given in Korea in 2006, so you will need this open to follow as it is not easy to see on the video.

There are references at the end of the slides, but for factorization method there are some more recent work that might be a better place to start.

I did not go in to TV that much but there are more details on the slides.

Videos All in one file, Or in chunks part 1, part 2, part 3, part 4.


Here is the web interface Brühl's factorization code.

Lecture 5: drive and measurement patterns

This was a bit unplanned but following a phone call to Andy Adler on Thursday I decided to talk about drive and measurement patterns, so it if it seems a bit rambling and unplanned it was.

Videos here part1, part2, part3,part4.

Some links mentioned in the notes

• Loke's manual for RES3DINV at GeoTomo
• W Lionheart, N.Polydordes and A Borsic, The reconstruction problem, Part 1 of Electrical Impedance Tomography: Methods, History and Applications, (ed) D S Holder, Institute of Physics, p3-64, 2004. ISBN: 0750309520 . Get a copy on MIMS e-print: 2006.421
• Look at page 360 of this paper and see the SVD for adjacent versus opposite drive.Breckon, W R, Pidcock, M K, Some Mathematical Aspects of Impedance Imaging, Mathematics and Computer Science in Medical Imaging, Ed Viergever and Todd-Pokropek, NATO ASI series F, Vol 39, Springer, 1988. ISBN: 3540186727. You can download the reprint
• Electric Current Computed Tomography and Eigenvalues, SIAM Journal on Applied MathemaicsVol. 50, No. 6 (Dec., 1990), pp. 1623-1634, See paper on JSTOR


• More to come

Lecture 4 Solving the forward problem

Today's topic is solving the forward problem. For the discussion of FEM I will refer to my book chapter in Holder's book with Nick Polydorides and Andrea Borsic (see preprint version). Theses are also useful, Marko Vaukhonen's and Nick Polydorides' (see reading list)

The video (a single AVI) download here

The "cot formula" that relates FEM to resistor networks in 3D appears in our paper from the Florida EIT meeting William R. B. Lionheart and Kyriakos Paridis, Finite Elements and Anisotropic EIT reconstruction. Journal of Physics: Conference Series, vol. 224, no. 1, p. 012022, 2010