Johann Bernoulli Stichting voor de Wiskunde te Groningen

!Volgende Johann Bernoulli lezing

De volgende lezing zal binnenkort worden aangekondigd.

Johann Bernoulli lezing 29

(maandag 19 maar 2018, 19.30 uur, Aula Academiegebouw)

Joost Batenburg (Universiteit Leiden)

Looking at the inside of an object with mathematics

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.

Joost Batenburg obtained M.Sc. degrees in Mathematics (2002) and Computer Science (2003) from the University of Leiden. He obtained his PhD in 2006 on the topic of discrete tomography under the supervision of Prof. Robert Tijdeman. After a period at the University of Antwerp (2006-2010) he moved to Centrum Wiskunde & Informatica in Amsterdam to work as a staff researcher. Since 2016 he is group leader Computational Imaging at CWI, leading a team of 16 researchers. He is also part-time full professor at the Mathematical Institute of Leiden University. His research interests involve all aspects of 3D imaging, including modelling of the physical imaging process, mathematical inverse problems, and large-scale computing. He received Vidi (2011) and Vici (2016) grants from NWO.

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Voorgaande Johann Bernoulli lezingen

De reeks Johann Bernoulli lezingen werd begonnen in het studiejaar 1991-1992. Elke Johann Bernoulli lezing wordt voorafgegaan door een laudatio, waarin het werk van de spreker wordt toegelicht; soms is er ook een historische inleiding. Verschillende lezingen, laudatios en inleidingen zijn verschenen in het Nieuw Archief voor de Wiskunde (NAW). Van de niet gepubliceerde voordrachten zijn hier samenvattingen te raadplegen.

  • Johann Bernoulli lezing 28 (maandag 3 april 2017)
    Norbert Schappacher (Université de Strasbourg)
    Mathematics in times of crisis and war
  • Johann Bernoulli lezing 27 (maandag 11 april 2016)
    Frits Beukers (Universiteit Utrecht)
    Een oneindige boekhouding
  • Johann Bernoulli lezing 26 (maandag 13 april 2015)
    Rien van de Weijgaert (Rijksuniversiteit Groningen)
    The Antikythera Mechanism: intricate higtech in an ancient Greek astronomical computer
  • Johann Bernoulli lezing 25 (dinsdag 8 juli 2014)
    Roger W. Brockett (Harvard University)
    Robust Synchronization: From Huygens to Current Applications
  • Johann Bernoulli lezing 24 (zaterdag 10 mei 2014)
    Eric Jorink (Universiteit Leiden en Huygens Instituut Den Haag)
    Bernoulli en de Wederopstanding, over wiskunde, wetenschap en geloof in de Gouden Eeuw
  • Johann Bernoulli lezing 23 (maandag 24 maart 2014)
    Rainer Kaenders (Universität Bonn)
    Parabool en kettinglijn, hyperbool en lemniscaat, Jakob en Johann
  • Johann Bernoulli lezing 22 (maandag 18 maart 2013)
    Jeremy Gray (Open University UK)
    On the cusp of the new physics: Henri Poincaré and mathematical physics one hundred years ago
  • Johann Bernoulli lezing 21 (maandag 2 april 2012)
    Richard Gill (Universiteit Leiden)
    Bernoulli Trials: Lies, damned lies and legal truth
  • Johann Bernoulli lezing 20 (maandag 28 maart 2011)
    Sir Michael Berry (Bristol University)
    Making light of mathematics
  • Johann Bernoulli lezing 19 (dinsdag 30 maart 2010)
    Hendrik Lenstra (Universiteit Leiden)
    Escher en het Droste-effect
  • Johann Bernoulli lezing 18 (dinsdag 14 april 2009)
    Jan P. Hogendijk (Universiteit Utrecht)
    Arabische astrologie en westeuropese wiskunde: 900-1300
  • Johann Bernoulli lezing 17 (dinsdag 18 maart 2008)
    Hans Oerlemans (Universiteit Utrecht)
    The Earth: an icy planet
  • Johann Bernoulli lezing 16 (dinsdag 27 maart 2007)
    Ian Stewart (University of Warwick)
    All the World’s a Network
  • Johann Bernoulli lezing 15 (dinsdag 7 maart 2006)
    Dirk van Dalen (Universiteit Utrecht)
    Weet U dat zeker? Over (on)zekerheden in de wiskunde
  • Johann Bernoulli lezing 14 (dinsdag 22 maart 2005)
    Jean-Pierre Ramis (Université Paul Sabatier, Toulouse)
    From Leibniz to quantum world: symmetries, principle of sufficient reason and ambiguity in the sense of Galois
  • Johann Bernoulli lezing 13 (dinsdag 23 maart 2004)
    Bart de Moor (Katholieke Universiteit Leuven)
    Systems biology: A new mathematical frontier
  • Johann Bernoulli lezing 12 (dinsdag 15 april 2003)
    Robbert Dijkgraaf (Universiteit van Amsterdam)
    The unreasonable effectiveness of physics in mathematics
  • Johann Bernoulli lezing 11 (dinsdag 21 mei 2002)
    Paul Embrechts (Eidgenössische Technische Hochschule Zürich)
    The wizards of Wall Street: did mathematics change finance?
  • Johann Bernoulli lezing 10 (dinsdag 22 mei 2001)
    Jacques Laskar (Observatoire de Paris)
    Chaos and Organisation in the Solar System
  • Johann Bernoulli lezing 9 (dinsdag 9 mei 2000)
    Ivor Grattan-Guinness (Middlesex University London)
    Daniel Bernoulli (1700-1782) and the varieties of mechanics in the 18th century
  • Johann Bernoulli lezing 8 (dinsdag 20 april 1999)
    David Ruelle (Institut des Hautes Études Scientifiques, Bures-sur-Yvette)
    Mathematical Platonism Reconsidered
  • Johann Bernoulli lezing 7 (dinsdag 21 april 1998)
    J.H. van Lint (Technische Universiteit Eindhoven)
    Wiskunde en de Compact Disc
  • Johann Bernoulli lezing 6 (maandag 12 mei 1997)
    Sir David R. Cox (University of Oxford)
    On the nature of statistical inference
  • Johann Bernoulli lezing 5 (dinsdag 9 april 1996)
    Gene H. Golub (Stanford University)
    Aspects of Scientific Computing
  • Johann Bernoulli lezing 4 (donderdag 20 april 1995)
    H.W. Lenstra, Jr. (University of California, Berkeley)
    Wiskunde en Onbegrip
  • Johann Bernoulli lezing 3 (dinsdag 7 juni 1994)
    Paul R. Halmos (University of Santa Clara, California)
    To count or to think, that is the question
  • Johann Bernoulli lezing 2 (dinsdag 16 februari 1993)
    Sir Christopher Zeeman, FRS (Hertford College, Oxford)
    Controversy in Science, The ideas of Daniel Bernoulli and René Thom
  • Johann Bernoulli lezing 1? (woensdag 3 juni 1992)
    R.E. Kalman (Eidgenössische Technische Hochschule Zürich)
    Probability and Science