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In many cross-sectional imaging situations, the object is axisymmetric, ie, a function of radius alone. Examples include plasma spectroscopy and refractive index profiling of optical fibers. In such cases, one projection suffices for reconstruction, and the object f(r) and projection g(R) are related by the Abel transform pair [1]: (1) (2) where prime denotes differentiation.
© 1984 Optical Society of America
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