Radon and Abel Transform equivalence in atmospheric radio occultation

Details Radon and Abel Transform equivalence in atmospheric radio occultation Radon and Abel Transform equivalence in atmospheric radio occultation

Jun 2007

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007rasc...42.3024t&link_type=abstract

Radio Science, Volume 42, Issue 3, CiteID RS3024

Astronomy and Astrophysics

Astronomy

Radio Science: Tomography And Imaging (7270, 8180), Radio Science: Radio Astronomy, Radio Science: General Or Miscellaneous

Scientific paper

The Radon Transform plays a central role in the image reconstruction technique known as computed tomography, used commonly in radio astronomy and medical imaging. Although usually formulated as a projection of a spatial density function along straight ray paths, the Radon Transform kernel also permits curved path projections, providing the path can be defined. Reformulation of the Radon Transform as a path integral for the case of a radio ray refracting in a spherically symmetric atmosphere leads directly to the Abel Transform formulation commonly used in atmospheric radio occultation.

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