This thesis proposal deals with a 3D reconstruction from noncentral cameras. An introduction to the 3D reconstruction in general is given, together with the definition of non-central cameras and their comparison with central cameras. State-of-the-art in the field of the non-central cameras is presented. Our previous contribution in this area is described and thesis goals are formulated.

We present a method for registration of macroscopic optical images with MR images of the same patient. This forms a key part of a series of procedures to allow post mortem findings to be accurately registered with MR images, and more generally provides a method for 3D mapping of the distribution of pathological changes throughout the brain. The first stage of the method involves a 3D reconstruc...

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Statistical Tomographic Image Reconstruction Methods for Randoms-Precorrected PET Measurements

A graph is said to be reconstructible if it is determined up to isomorphism from the collection of all its one-vertex deleted unlabeled subgraphs. The Reconstruction Conjecture (RC) asserts that all graphs on at least three vertices are reconstructible. In this paper, we prove that all triangle-free graphs G with connectivity two such that diam(G) = 2 or diam(G) = diam(G) = 3 are reconstructibl...

In this paper we de2ne 2ve families of simple graphs {fi,f2,f^,t^ and F=5) such that the reconstruction conjecture is true if reconstruction is proved for either the families $[,$2 & % or the families F=3;F=4 and F=5. These families are quite restrictive in that each has diameter two or three. Then we prove that families F=1;F=2;F=3;F=4 and F=5 are recognizable by proving that graphs of diamete...

Elena Logdacheva St.-Petersburg State University 49, 10 Line V.O. St. Petersburg 199178 Russia [email protected] Yuri Vinogradov Institute for the History of Material Culture of RAS 18, Palace emb. St. Petersburg 191186, Russia [email protected] Sergei Shvemberger St.-Petersburg State University 49, 10 Line V.O. St. Petersburg 199178 Russia [email protected] Nikolay Borisov St.-Peter...