What is tomography?
Tomography aims to reveal the internal structure of a patient based on X-ray images taken from different directions. The resulting slice image is formed with a mathematical algorithm.
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Introduction to inversion 1: the instability of predicting the past
This video is the first in the series “Introduction to inversion”, in which I will reveal the secrets of the study of inversion problems.
Mathematical modelling: School of fish
I demonstrate a basic three-rule model for flocking behaviour in a school of fish. You can find the Matlab codes here.
Wonders of Mathematics: Matrices
Matrix theory is a beautiful and useful area of mathematics. It is used in the solution of most engineering problems.
Scientific presentations 2019
Gray-box machine learning for electrical impedance tomography, Inverse Days, Paviljonki conference center, Jyväskylä, Finland, December 18, 2019. PDF (12 MB) Invited talk: The magic of math: three-dimensional X-ray vision, Physics Colloquium, University of Groningen, the Netherlands, November 28, 2019. PDF (36 MB) Invited talk: The inverse problems theory behind X-ray tomography, Enabling Data-Driven Methods for Inverse Problems in 3D Imaging: Uniting
Scientific presentations 2018
Electrical impedance tomography and virtual X-rays, Inverse Days, Aalto University, Helsinki, Finland, December 13, 2018. PDF (8 MB) Invited talk: The magic of math: X-ray vision, The Maths of Biology, Mittag-Leffler Institute, Stockholm, Sweden, October 10, 2018. PDF (25 MB) Invited talk: Dynamic Sparse X-ray Tomography, Seminar at Université Paris-Sud, France, September 18, 2018. PDF (30 MB) Invited talk: Three-dimensional X-ray Vision by Sparse
Scientific presentations 2017
Electrical impedance tomography imaging via the Radon transform, 23rd Inverse Days, Oulu, Finland, December 12, 2017. PDF (5 MB) Keynote talk: Modern X-ray vision: 3D imaging with sparse data, Finland at CERN event, CERN, Geneva, Switzerland, November 2, 2017. PDF (21 MB) Minicourse Introduction to sparse-data X-ray tomography, Thematic Program Parameter Identification in Mathematical Models: Applications to PDE’s and Integral Equations,IMPA – Instituto
Scientific presentations 2016
Detecting inclusions within inclusions in electrical impedance tomography, 22nd Inverse Days, Kuopio, Finland, December 13, 2016. PDF (7 MB) Invited talk: Electrical impedance tomography imaging via the Radon transform, Mathematics Seminar, University College London, United Kingdom, November 25, 2016. PDF (10 MB) Invited talk: Reconstruction methods for sparse-data tomography, Joint ACA-cmih seminar, University of Cambridge, United Kingdom, November 21, 2016. PDF (23 MB)
Scientific presentations 2015
Invited talk: A multiresolution parameter choice method for TV,IFIP TC 7.4 Workshop on Inverse Problems and Imaging,Akademie Wolfsburg, Mülheim a.d. Ruhr, Germany, December 15, 2015. PDF (118 MB) Parameter choice method for total variation regularization,21th Inverse Days of the Finnish Inverse Problems SocietyLappeenranta, Finland, December 10, 2015. PDF (16 MB) Invited talk: Mathematics as a high-tech R&D tool: the cases of
Scientific presentations 2014
Invited talk: Edge-Preserving Electrical Impedance Tomography, IFIP TC 7.4 Workshop on Inverse Problems and Imaging, Akademie Wolfsburg, Mülheim a.d. Ruhr, Germany, December 16, 2014. PDF (40 MB) Invited talk: Colored buzz, or Glottal Inverse Filtering, 3rd Workshop on Computational Engineering 2014, University of Stuttgart, Germany, October 9, 2014 Inverse Problems in Human Speech Research, Inverse Problems Seminar, University of Electro-Communications,