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  • Inverse problems, spring 2015

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The course is lectured in English

First lecture: Tuesday, January 13, 2015, at 10:15 in room D123. Welcome!

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Figure: electrical conductivity distribution (left), nonlinear reconstruction from voltage-to-current boundary measurements (middle), edge-enhanced nonlinear reconstruction (right).


The common features of all this problems are the need to understand indirect measurements and to overcome extreme sensitivity to noise and modelling inaccuracies.

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Figure: sharp image (left), misfocused image (middle), sharpened image by deconvolution (right).


Figure: high-resolution X-ray tomographic slice through a walnut (left), reconstruction from few data using an old method (middle), and reconstruction from few data using a modern method (right).


Samuli Siltanen


15 sp.


Advanced studies


Recommended courses to take before this course: Linear algebra 1 and 2, Applications of matrix computations.

Some previous experience with Matlab programming is very helpful.


Period III: Lectures as follows:


Period IV: Project work, which is reported as a poster in a poster session. 

Lecture 1 (January 13, 2015)

Introduction to inverse problems, indirect measurements and ill-posedness.


There will be an exam after the lecture part of the course.


Image Modified Mueller J L and Siltanen SLinear and Nonlinear Inverse Problems with Practical Applications. SIAM 2012.


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