Using Few Radon Projections to Recover 3-D NMR Spectrum

Authors

  • Fawaz Ibrahim Hjouj PI

DOI:

https://doi.org/10.5147/jmsca.v0i0.171

Abstract

Given a regular binary function f on R2 with compact support D, we use translation to form a new binary function g from f so that the image representation of g (x, y) is made up of non-overlapping copies of D. Thus, g is made up of discrete entities that are surrounded by regions of space. We devise a procedure that can determine the translation parameters using a minimum number of Radon projections  g of g . This model is a mathematical abstraction of an application of the Radon transform in Spectroscopy.
Keywords: Radon transforms, transformation of an image, Back projection.

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Published

2017-12-20

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Section

Articles