Research homepage of Samuli Siltanen

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I am a Finnish mathematician mainly interested in inverse problems of medical imaging.
The goal of my scientific work is to design efficient numerical methods that have a sound
mathematical basis and solve real-world problems. I have published research articles mostly
about the following topics:
  • Electrical impedance tomography
  • Low-dose three-dimensional X-ray imaging
  • Discretization-invariant Bayesian inversion
  • The Novikov-Veselov equation
  • Fine structure of photographic images

    The center image at the top of this page is a reconstruction of electric conductivity from
    electrical impedance tomography measurements using the regularized d-bar method (joint
    with David Isaacson, Kim Knudsen, Matti Lassas, Jennifer Mueller and Jon Newell). The
    rightmost image above is a local X-ray tomographic reconstruction of teeth using wavelet-
    based Bayesian inversion (joint with Ville Kolehmainen and Kati Niinimäki).

    I have written a textbook on inverse problems with Jennifer Mueller:
    .
    The book is available for ordering at the SIAM bookstore.
    For computational resources (Matlab files) related to the book, see this page.

    I work as Professor of Industrial Mathematics at the
    Department of Mathematics and Statistics of University of Helsinki
    and as senior scientist in the Finnish Center of Excellence in Inverse Problems Research.

    Publications

    Scientific talks

    Grants and awards

    Sam's Applied Math Tips Blog

    Industrial Mathematics Laboratory

    Curriculum Vitae

    Teaching page

    Contact information page