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Proceedings Paper

Abel inversion: optical preprocessing
Author(s): Igor V. Markhvida; Ludmila V. Chvyaleva; Pavel Sumin
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Paper Abstract

The Abel inversion is a tomographic problem which we meet in a wide range of areas from astronomy, plasma and jet research to cell microscopy. The Abel inversion restores a radial distribution of refractive index, absorption index or other values for axial symmetric objects. It uses derivative operation that is why the theoretical solving is incorrect. Complex mathematical methods are usually used in practice. We apply an interferometric technique to provide the derivative procedure. The final calculation is approximately twenty times faster than usual techniques. A noise/signal ratio reduces too. An example of biological application is described.

Paper Details

Date Published: 1 July 1997
PDF: 5 pages
Proc. SPIE 3075, Photonic Processing Technology and Applications, (1 July 1997); doi: 10.1117/12.277635
Show Author Affiliations
Igor V. Markhvida, Belarussian State Polytechnic Academy (Belarus)
Ludmila V. Chvyaleva, Belarussian State Polytechnic Academy (Belarus)
Pavel Sumin, Belarussian State Polytechnic Academy (Belarus)


Published in SPIE Proceedings Vol. 3075:
Photonic Processing Technology and Applications
Andrew R. Pirich; Raymond K. Boncek, Editor(s)

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