Local Properties of Precise Algorithms of Three-Dimensional Reconstruction from Cone Projections
V. P. Karikh
Federal Research and Production Center Altai
kar@frpc.secna.ru
Keywords: 3D-reconstruction, cone beam, Radon transform, integral-differential transform
Pages: 46-52
Abstract
The emergence and development of algorithms for three-dimensional reconstruction in X-ray tomography are considered in historical sequence. The data completeness condition for precise reconstruction of an object at one point is studied. It is shown that some precise algorithms are used to reconstruct part of the object from data satisfying the completeness condition for this part. Other algorithms for solving the same problem require a full set of data for the entire object.
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