Johann Bernoulli Lezing 2018

Datum 19 mrt. 2018 - 19.30
Lokatie Aula van het Academiegebouw Broerplein 5, Groningen

Looking at the inside of an object with mathematics

Joost Batenburg (Universiteit Leiden)

Abstract:  In this lecture I will show how mathematics enables us to look at the inside of an object without opening it. Using tomography, we can compute what the inside of an object looks like, from a series of X-ray photos, taken from a range of angles.  For example, the “object” can be a medical patient who undergoes a CT-scan in a hospital or a computer chip that must be checked for internal defects. Tomographical research started over a century ago, with a publication  of Johann Radon in 1917. Since then tomography has developed into a mature field of mathematics that brings together ideas from analysis, (integral) geometry, linear algebra, and optimization. The strength of the underlying mathematics is reflected by the fact that the same computational methods can be applied in (electron) microscopy to study nanomaterials, and even in astrophysics to reconstruct the interior of stars.

After introducing tomography, its applications, and the underlying mathematical model, I will talk about questions such as: “how many viewing directions do we need to create a reliable image?” and “what can we do to reduce the number of required views even further?”. Finally I will show that we can even scan people in 3D without them being aware of it: tomography using Wifi signals.

Organisator Rijksuniversiteit Groningen (email)
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Geplaatst door Heleen de Waard