Iterative restoration of X-ray images taken in x-pinch rays
Автор: Konovalov A.B., Vlasov V.V., Uglov A.s, Shelkovenko Т.А., Pikuz S.A.
Журнал: Человек. Спорт. Медицина @hsm-susu
Рубрика: Инженерия в медико-биологической, образовательной и спортивной практике
Статья в выпуске: 3 (58) т.1, 2006 года.
Бесплатный доступ
Imaging in X-pinch rays produces records of several superimposed components of an object image from several radiation focuses separated in space. The present paper studies the feasibility of restoring an arbitrary chosen true component through the removal of the non-true one by the example of two experimental images with two superimposed components. The generalized discrete blurring model and iterative restoration algorithm used are described. It is shown that standard boundary conditions give satisfactory results for «Ant» image but «Pinch» image requires a special image extrapolation approach based on the fitting of reflection direction relative to the boundary for each reproduced structure.
Короткий адрес: https://sciup.org/147152125
IDR: 147152125
Список литературы Iterative restoration of X-ray images taken in x-pinch rays
- S.A. Pikuz, T.A. Shelkovenko, V.M. Romanova, D. B. Sinars, D. A. Hammer, S. N. Bland, and S. V. Lebedev, «X pinch as a source for X-ray radiography», Nukleonika, vol. 46, pp. 21-25, 2001.
- T.A. Shelkovenko, D.B. Sinars, S.A. Pikuz, KM. Chandler, and D.A. Hammer, «Point-projection X-ray radiography using an X pinch as the radiation source», Rev. Sci. Instrum., vol. 72, pp. 667-670, 2001.
- G.V. Ivanenkov, S.A. Pikuz, T.A. Shelkovenko, V.M. Romanova, I.V. Glazyrin, O.G. Kotova, and A.N. Slesareva, «Review of publications devoted to modeling of the electric explosion of thin metal wires», Preprint of Lebedev Physical Institute RAS #9, Moscow, 2004 (in Russian).
- D.S.С. Biggs and M. Andrews, «Acceleration of iterative image restoration algorithms», Appl. Opt., vol. 36, pp. 1766-1775, 1997.
- J.G. Nagy, K. Palmer, and L.Perrone, «Iterative methods for image deblurring: a Matlab object oriented approach», Numerical Algorithms, vol. 36, pp. 73-93, 2004.
- K.P. Lee, J.G. Nagy, and L. Perrone, An Object Oriented Matlab Package «Restore Tools» for Image Restoration, 2002, Available: http://www.mathcs.emory.edu/~nagy/RestoreTools/.
- J. Kamm and J.G. Nagy, «Kronecker product and SVD approximation in image restoration», Linear Algebra Appl., vol. 284, pp. 177-192, 1998.
- H. Andrews and B. Hunt, Digital Image Restoration, Prentice-Hall, Englewood Cliffs, NJ, 1977.
- M. K. Ng, R. H. Chan, and W.-C. Tang, «A fast algorithm for deblurring models with Neumann boundary conditions», SIAM J. Sci. Comput., vol. 21, pp. 851-866, 1999.
- J.G. Nagy and D.P. O'Leary, «Fast iterative image restoration with a space-varying PSF», Proc. SPIE, vol. 3162, pp. 388-399, 1997.
- L. Kaufman, «Maximum likelihood, least squares, and penalized least squares for PET», IEEE Trans. Med. Imag., vol. 12, pp. 200-214, 1993.
- J.G. Nagy and К. Palmer, «Steepest descent, CG, and iterative regularization of ill-posed problems», BIT, vol. 43, pp. 1003-1017, 2003.
