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Reconstruction of objects from grey-scale digital images of them

PhD defence, Wednesday 30 October 2019. Helene Matilde Svane.

2019.10.30 | Sunitha Satkunam

Helene Matilde Svane

This thesis deals with different aspects of reconstructing an object from its digital grey-scale image. We image that we make a digital image of a black object on a white background by placing a grid on top of the object and then colouring each grid square a shade of grey that corresponds to the fraction of the square that is covered by the object. This way, we obtain a grey-scale digital image of the object, consisting of pixels of different shades of grey. The question is now how much we can infer about the original object if we know only the digital image of it, especially when the digital image has a poor resolution. In the thesis, we propose algorithms for reconstructing a certain class of objects by using their digital images.

The PhD degree was completed at Center for Stochastic Geometry and Bioimaging (CSGB), Department of Mathematics, Science and Technology, Aarhus University.

This résumé was prepared by the PhD student.

Time: Wednesday 30 October 2019 at 14:15
Place: 1531-219, AUD D4, Ny Munkegade 116, 8000 Aarhus C
Title of PhD thesis: Reconstructing r-regular Objects from Trinary Digital Images
Contact information: Helene Matilde Lundsgaard Svane, e-mail: helenesvane@math.au.dk, tel.:+45 23962304
Members of the assessment committee:
Professor Longin Jan Latecki, Department of Computer and Information Science, Temple University, USA
Associate professor François Lauze, Department of Computer Science, University of Copenhagen, Denmark
Professor Marcel Bökstedt (chair), Department of  Mathematics, Aarhus University
Main Supervisor: 
Associate professor Andrew du Plessis,  Department of  Mathematics, Aarhus University 
Language: The PhD dissertation will be defended in English

The defense is public.
The PhD thesis is available for reading at the Graduate School of Science and Technology/GSST, Ny Munkegade 120, building 1521, 8000 Aarhus C.

PhD defence
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