Publications and preprints

  1. Lehtonen J, Correia C and Helin T, Limits of turbulence and outer scale profiling with non-Kolmogorov statistics, submitted.
  2. Clason C, Helin T, Kretschmann R and Piiroinen P, Generalized modes in Bayesian inverse problems, preprint.
  3. Caro P, Helin T, Kujanpää A and Lassas M, Correlation imaging in inverse scattering is tomography on probability distributions, preprint.
  4. Caro P, Helin T and Lassas M, Inverse scattering for a random potential, preprint.
  5. Helin T, Lassas M, Oksanen L and Saksala T, Correlation based passive imaging with a white noise source, to appear in Journal de Mathématiques Pures et Appliquées, preprint.
  6. Burger M, Helin T and Kekkonen H, Large noise in variational regularization, to appear in Trans. Math. Appl. preprint.
  7. Helin T, Kindermann S, Lehtonen J and Ramlau R, Atmospheric turbulence profiling with an unknown power spectral density, Inverse Problems 34, pp. 044002, (2018) preprint.
  8. Agapiou S, Burger M, Dashti M and Helin T, Sparsity-promoting and edge-preserving maximum a posteriori estimators in non-parametric Bayesian inverse problems, Inverse Problems 34, pp. 045002, preprint.
  9. Burger M, Dirks H, Frerking L, Hauptmann A, Helin T and Siltanen S, A Variational Reconstruction Method for Undersampled Dynamic X-ray Tomography based on Physical Motion Models, Inverse Problems 33, pp. 124008, (2017), preprint.
  10. Saxenhuber D, Auzinger G, Le Louarn M and Helin T, Comparison of methods for the reduction of reconstructed layers in atmospheric tomography, Applied Optics 56(10), pp.2621-2629 (2017).
  11. Helin T, Lassas M and Päivärinta L, Inverse acoustic scattering problem in half-space with anisotropic random impedance, Journal of Differential Equations 262(4) (2017), preprint.
  12. Helin T, Kindermann S and Saxenhuber D, Towards analytical model optimization in atmospheric tomography, Mathematical Methods in the Applied Sciences 40(4) (2016), preprint.
  13. Wagner R, Helin T, Obereder A and Ramlau R, An efficient Reconstruction Method for Ground Layer Adaptive Optics with mixed Natural and Laser Guide Stars, Applied Optics 55(6) (2016), pp.~1421-1429, preprint.
  14. Helin T and Burger M, Maximum a posteriori probability estimates in infinite-dimensional Bayesian inverse problems, Inverse Problems 31(8) (2015), 085009, preprint.
  15. Yudytskiy M, Helin T and Ramlau R, A finite element-wavelet hybrid algorithm for atmospheric tomography, Journal of Optical Society of America A 31(3) (2014), pp.550-560, preprint.
  16. Helin T, Lassas M and Oksanen L, Inverse problem for the wave equation with a white noise source, Communication in Mathematical Physics 332(3) (2014), pp. 933-953, preprint.
  17. Helin T and Yudytskiy M, Wavelet methods in multi-conjugate adaptive optics, Inverse Problems 29(8) (2013), 085003, preprint (see also the insights article).
  18. Yudytskiy M, Helin T and Ramlau R, A frequency dependent preconditioned wavelet method for atmospheric tomography, in Third AO4ELT Conference - Adaptive Optics for Extremely Large Telescopes (2013), doi:10.12839/AO4ELT3.13433, preprint.
  19. Helin T, Lassas M and Oksanen L, An inverse problem for the wave equation with one measurement and the pseudorandom noise, Analysis and PDE 5 (2012), pp.887-912, preprint.
  20. Helin T and Lassas M, Hierarchical models in statistical inverse problems and the Mumford--Shah functional, Inverse Problems 27 (2011), 015008.
  21. Helin T and Lassas M, On the Stability of MAP Estimation with Hierarchical Prior Distributions, AIP Conf. Proc. 1281(1807) (2010), doi: 10.1063/1.3498240.
  22. Helin T, On infinite-dimensional hierarchical probability models in statistical inverse problems, Inverse probl. imaging 3(4) (2009), pp.567--597.
  23. Helin T, Lassas M and Siltanen S, Infinite photography: new mathematical model for high-resolution images, J. Math. Imaging Vision (2009), doi: 10.1007/s10851-009-0177-7.
  24. Helin T and Lassas M, Bayesian signal restoration and Mumford--Shah functional, Proc. Appl. Math. Mech. 7 (2007), pp.~2080013--2080014.

Other scientific publications:

  1. Helin T, Obereder A and Ramlau R, A numerical efficient preprocessing step for taking LGS spot elongation into account, ESO Technical report, E-TRE-AAO-528-0020 (2012).
  2. Yudytskiy M, Helin T and Zhariy M, Wavelet based wavefront reconstruction for SCAO, ESO Technical report, E-TRE-AAO-528-0005 (2011).
  3. Helin T and Yudytskiy M, Wavelet based wavefront reconstruction for MCAO, ESO Technical report, E-TRE-AAO-528-0005 (2011).
  4. Helin T, Discretization and Bayesian modeling in inverse problems and imaging, Dissertation, Aalto University, School of Science and Technology, (2010).