Abel inversion: optical preprocessing

Igor V. Markhvida; Ludmila V. Chvyaleva; Pavel Sumin

doi:10.1117/12.277635

1 July 1997 Abel inversion: optical preprocessing

Igor V. Markhvida, Ludmila V. Chvyaleva, Pavel Sumin

Proceedings Volume 3075, Photonic Processing Technology and Applications; (1997) https://doi.org/10.1117/12.277635
Event: AeroSense '97, 1997, Orlando, FL, United States

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.

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Igor V. Markhvida, Ludmila V. Chvyaleva, and Pavel Sumin "Abel inversion: optical preprocessing", Proc. SPIE 3075, Photonic Processing Technology and Applications, (1 July 1997); https://doi.org/10.1117/12.277635

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