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Registration Number

0206U009005, 0104U000940 , R & D reports

Title

New highly effective methods of 2D and 3D tasks solution inf computer tomography based on use a spline - interlineation and a spline - interflatation functions

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Head

Oleg M. Lytvyn, Доктор фізико-математичних наук

Registration Date

19-12-2006

Organization

The Ukrainiane engineering pedagogics academy

Description

For today there are some methods of the decision of flat and spatial problems of the Radon computer tomography, But till now problems of clearing of artefacts in the restored image, problems of optimization of quantity of the projective data and arithmetic operations for restoration of the approached function with the necessary accuracy are actual, problems of restoration of internal structure of object with the help of a small amount of projections are actual also, that is at an incomplete set of foreshortenings. Operators iterlineation (interflatation) restore functions (probably, approximately) n variables on their known traces on the given system of lines (surfaces). That is integrals from such oparators the specified lines or surfaces (linear integrals) are equaled to integrals from the most restored function. This idea underlies methods of the decision of flat and spatial problems of the Radon computer tomography which is advanced in the given research.

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