Aristotle was the first philosopher to define the term thesis.
Hamed Hamid Muhammed Fredrik BergholmAbstract Recent work in the eld of Compressed Sensing [1, 2, 3] has suggested a great variety of new possibilities in the world of image reconstruction. We have been focused on a novel approach using this kind of algorithms based on CS to solve problems related to limited-angle data e.
This approach has been based on a variation of the Robbins-Monro stochastic approximation procedure  with regularization enabled by a spatially adaptive lter.
The idea consists in exciting an algorithm by injection of random noise in the unobserved portion of the image spectrum and a spatially adaptive image denoising lter, working in the image domain, is exploited to attenuate the noise and reveal new features and details out of the incomplete and degraded observations of the model.
We developed the algorithm and we tested with some variations of the Shepp-Logan phantom1 and Hansandrey crystallography2to prove its viability in an empirical way before applying it to real cases3. Our idea after the tests was to apply this procedure in a reconstruction of a 3D-protein crystallography taken in a TEM Transmission Electronic Microscopy with limited-angle views that can lead to have missing wedges or cones in the nal results.
Donar les grcies al meu tutor, Hamed, ja que sense ell no hauria tingut aquesta gran oportunitat de realitzar aquest projecte en terres sueques i disfrutar daquesta experincia. Tamb recordar al Philip, ja que sel pot considerar com un segon tutor, sense ser-ho ocialment mha dedicat el seu temps i saber.
Vull fer un especial nombrament a la meva famlia, pare, mare, Montsin, yayes Pilarin i Manuela, tiets, llola, etc. Per nalitzar demanar-li perd al senyor Ferran, perqu segurament he estat una persona molt pesada demanant-li consell en tots els petits i grans dubtes que he tingut durant el projecte i que ell molt amablement mha ajudat.
Tampoc em vull deixar als meus amics de la carrera, amb els quals he compartit molts anys a les aules i per Barcelona, grcies Albert, Eric, Molina, Ral, Sergi, Didac, Waiki, Aitor I bueno als meus ex-jefes Albert Gil i Josep Ramn, igualment que al Josep Pujal, grcies per tot el que em vau ensenyar i jo vaig intentar apendre.
I nooo Isa, no moblido de t, xD. You are always working First of all I want to dedicate this Master Thesis to my aunt Quitria who recently passed away and due to the distance I could not go to tell her one last goodbye.
To thank my tutor, Hamed, because without him I would not have had this great opportunity to do this project on Swedish land and enjoy this great experience. Also remember to Philip, he could be considered as a second supervisor, although he is not ocially but he has shared his time and knowledge with me.
I want to make a special mention to my family, dad, mom, Montsin, "yayes" Pilarn and Manuela, uncles, goddaughter, etc.
Finally I want to say sorry to Ferran, probably because I have been a very annoying person asking for advice on all big or small doubts that I had during the project and he very kindly helped me. And nooo Isa, I do not forget you, xD.
Matlab code B Appendix C: Standard Deviation graphics C Appendix C: Processing Time81 86vList of Figures2. Reconstruction 90 missing data.
Evolution of the algorithm case c. Modied peppers and cameraman by mask Evolution of the algorithm case a. Reconstruction FFT 11 projections Evolution of the algorithm case b. Reconstruction FFT 22 projections. Known data white and unknown data black. Reconstruction 90 degrees missing data. Hansandrey original model b.
Hansandrey reconstruction xy-slices Hansandrey worst case: Hansandrey reconstruction xz-slices First model proposal. Comparison between rst model and our proposal.
Modied peppers and cameraman by mask 64 Reconstruction of modied peppers and cameraman by mask 64 64 Hansandrey missing wedge. Hansandrey appearance missing wedge. Reconstruction of modied peppers and cameraman by mask Viral DNA gatekeeper real model.
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Standard deviation projections case. Standard deviation 90 case. Standard deviation low frequency case. Standard deviation 3D case.A thesis or dissertation is a document submitted in support of candidature for an academic degree or professional qualification presenting the author's research and findings.
In some contexts, the word "thesis" or a cognate is used for part of a bachelor's or master's course, while "dissertation" is normally applied to a doctorate, while in other contexts, the reverse is true.
“Compressed Sensing for Electron Microscope Data” April 7, Master of Science Thesis in Image Processing Marc Manel Vilà Oliva [email protected] Supervisor: Examiner.
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