Contact Information

Department of Mathematics and Statistics, University of Helsinki
Room: B424 (Exactum)
Address: P.O. Box 68 (Gustaf Hällströmin katu 2b)
FI-00014 University of Helsinki
Telephone: +358-9-191

Research Interests

Contact Information

Department of Mathematics and Statistics, University of Helsinki
Room: B407 (Exactum)
Address: P.O. Box 68 (Gustaf Hällströmin katu 2b)
FI-00014 University of Helsinki
Telephone:
Email: zenith.purisha 'at' helsinki.fi

Research Interests

Sparse X-ray tomography problem is the main focus of my research. A new algorithm and some new implementations to get good reconstruction from the data has been implemented. Real data produced by CT/μCT machine are tested. B-spline and Markov Chain Monte Carlo (NURBS-MCMC) strategy is implemented successfully and the result is in a CAD-format. 

Another project that I am now also working is in applying the state-or-arts and modern methods, e.g Barzilai Borwein, Chambolle Pock, & Shearlet for studying bone analysis whether the bone is healthy or osteoarthritis.

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Research Interests

Contact Information

Department of Mathematics and Statistics, University of Helsinki
Room: B414, Exactum
Address: P.O. Box 68 (Gustaf Hällströmin katu 2b)
FI-00014 University of Helsinki
E-mail: jonatan.lehtonen@helsinki.fi

Research Interests

My primary interest is in applying mathematics to real-world problems, which naturally led me to the field of inverse problems. My PhD thesis focuses on atmospheric tomography, an inverse problem related to next-generation telescopes.

A well-known issue with ground-based telescope imaging is that atmospheric turbulence (fluctuations of the refractive index) perturbs the phase of incoming light waves, resulting in degraded resolution and blurred images. In atmospheric tomography, the basic idea is to reconstruct the turbulence profile in real time based on measurements of aberrations in the phase of incoming light waves from known light sources, e.g. natural stars or artificial laser stars.  The turbulence profile can then be used to correct for the effect of turbulence on images in real time

Contact Information

Department of Mathematics and Statistics, University of Helsinki
Room: A422 (Exactum)
Address: P.O. Box 68 (Gustaf Hällströmin katu 2b)
FI-00014 University of Helsinki
E-mail: antti.kujanpaa@helsinki.fi

Research Interests

My research centers around inverse problems for the wave equation on Riemannian manifolds. The focus is on models of physical systems with moving medium such as a layer of gas or water. The main objective is to develop effective techniques for indirect determination of turbulence and flow of the fluid from scattering data of waves. Motivation for my research arises naturally from atmospheric imaging and radar technology. 

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Department of Mathematics and Statistics, University of Helsinki
Room: A415 (Exactum)
Address: P.O. Box 68 (Gustaf Hällströmin katu 2b)
FI-00014 University of Helsinki
Email: markus.juvonen@helsinki.fi

Research Interests

I am interested in image processing in general and anything that combines mathematics with photography and visualization.
The main focus of my research is the development of a patch-based image restoration approach that will create visually more realistic and natural reconstructions made locally out of real image data. 
Another research topic is the automation of image restoration by learning the model and the optimal parameters from the given image data.

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Department of Mathematics and Statistics, University of Helsinki
Room: C435 (Exactum)
Address: P.O. Box 68 (Gustaf Hällströmin katu 2b)
FI-00014 University of Helsinki
Email: Lauri.Ylinen 'at' helsinki.fi

Research Interests

My research focuses on the Radon transform and the X-ray transform. These transforms are widely applicable to tomography, for example, in medical imaging. I am interested in regularization approaches for image reconstruction, mathematical optimization methods, and compressed sensing related to tomography.

Contact Information

Department of Mathematics and Statistics, University of Helsinki
Room: A415 (Exactum)
Address: P.O. Box 68 (Gustaf Hällströmin katu 2b)
FI-00014 University of Helsinki
Email: alexander.meaney 'at' helsinki.fi

Research Interests

I am interested in the mathematics and physics of medical imaging. My current research is focused on inverse problems and tomographic reconstruction algorithms in X-ray imaging. The range of my scientific activities varies from working with X-ray imaging hardware to computational mathematics and theoretical research.

Contact Information

Department of Mathematics and Statistics, University of Helsinki
Room: B323 (Exactum)
Address: P.O. Box 68 (Gustaf Hällströmin katu 2b)
FI-00014 University of Helsinki
Email: anna.suomenrinne-nordvik 'at' helsinki.fi

Research Interests