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Scientific Visualization
| Issue Year: | 2017 |
| Quarter: | 3 |
| Volume: | 9 |
| Number: | 3 |
| Pages: | 14 - 27 |
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| Article Name: |
IMPROVEMENT OF THE QUALITY OF RESTORING IMAGE WITH RADON INVERSE TRANSFORM |
| Authors: |
K.Ya. Kudryavtsev (Russian Federation) |
| Address: |
K.Ya. Kudryavtsev
KYKudryavtsev@mephi.ru
National Research Nuclear University MEPhI (Moscow Engineering Physics Institute), Moscow, Russian Federation |
| Abstract: |
The creation of the image of internal contents of object without its physical corrupting applied in medicine, metallurgy and crystallography is based on X-ray radiation with the subsequent mathematical processing of received data. When the object is being scanned, the output ray intensity is equal to density distribution function along the ray path. Registration of emission calculated at different angles allows to obtain the original data used to reconstruct the image. Data used for image reconstruction has the form of matrix, each element of which is the result of integral evaluation along the determined line. The bigger matrix is, i.e. the more experimental data is available, the more exact image reconstruction will be possible. However, the number of experiments is often limited by medical, technical, economic and other reasons. As a mathematical tool for the reconstruction of the cross-sectional image of an object, a direct and inverse Radon transform is used. This paper proposes the algorithm of rising the quality of reconstructed image from Radon transform matrix by adding additional colums containing Radon transform in interjacent angle turn calculated with the help of developed approximation formulas. Doubling the number of Radon integral transformation matrix colums helps to significantly rise the quality of image being reconstructed with Radon inverse transformation. |
| Language: |
English |
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