- Tytuł:
- Hurwitz-Radon operator in monochromatic medical image reconstruction
- Autorzy:
-
Jakóbczak, D.
Kosiński, W. - Powiązania:
- https://bibliotekanauki.pl/articles/333775.pdf
- Data publikacji:
- 2007
- Wydawca:
- Uniwersytet Śląski. Wydział Informatyki i Nauki o Materiałach. Instytut Informatyki. Zakład Systemów Komputerowych
- Tematy:
-
kompresja
macierze Hurwitza-Radona
kontur
rekonstrukcja krzywej
tomografia
compression
Hurwitz-Radon matrix
contour
curve reconstruction
tomography - Opis:
- In this paper the method, dedicated for medical images reconstruction, will be presented. One of them called the method of the Hurwitz-monochromatic (e.g. black and white) images. The method is based on a family of Hurwitz-Radon matrices. The matrices possess columns composed of orthonormal vectors. The operator of Hurwitz-Radon (OHR), built from that matrices, is described. It is shown how to create the orthogonal and discrete OHR and how to use it in a process of curve interpolation. The method needs suitable choice of nodes, i.e. points of the curve to be compressed: they should be equidistance in one of coordinates. Application of MHR gives a high level of compression (up to 99 %) and a very good interpolation accuracy in the process of reconstruction of contours. Its use in the computer tomography is also effective. Orthogonal OHR can be regarded as a linear and discrete model in the supervised (machine) learning [5]. It is shown how to use it in approximation of data. Created from the family of N-1 HR matrices and completed with the identical matrix, system of matrices is orthogonal only for vector spaces of dimensions N=2,4,8. Orthogonality of columns and rows is very important and significant for stability and high precision of calculations.
- Źródło:
-
Journal of Medical Informatics & Technologies; 2007, 11; 69-78
1642-6037 - Pojawia się w:
- Journal of Medical Informatics & Technologies
- Dostawca treści:
- Biblioteka Nauki
Artykuł