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  • Inverse problems, spring 2015

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

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

Inverse problems are about interpreting indirect measurements. The scientific study of inverse problems is an interdisciplinary field combining mathematics, physics, signal processing, and engineering. Examples of inverse problems include


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

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

Inverse problems research is an active area of mathematics.


The course is in total 15 credit units.


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