1 July 1990 N.M.R. Radon Haar transforms
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Proceedings Volume 1230, International Conference on Optoelectronic Science and Engineering '90; 12305T (1990) https://doi.org/10.1117/12.2294846
Event: The Marketplace for Industrial Lasers 1990, 1990, Chicago, IL, United States
Abstract
In continuation of previous papers by the author [4 and 6] it seems to be suitable to discuss more in detail the NMR in connection with the Radon transform and obtain enhanced pictures by using the Haar transform also i.e. the Radon-Haar transform. There exist many methods of the inverse Radon transform but the two, the filtered back projec- tion - FBP [2, 3, and others] and the circular harmonic decomposition Radon transform, as suggested by Cormack and described e.g. by Chapman & Cary [5], by the author [6] and others are the best ones till today. These inverse formulae should be identical, but due to noise and smoothing effects of the transforming and incomplete datasets their numerical pro- perties may be very different and therefore also the results. The principle of the NMR projection will be known to the general reader. In short a magnetic dipole 11 in a field B0 in the vertical z -axis has a torque µ, Bo and the macroscopic moment of magnetization
© (1990) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Joseph Ben Uri, Joseph Ben Uri, } "N.M.R. Radon Haar transforms", Proc. SPIE 1230, International Conference on Optoelectronic Science and Engineering '90, 12305T (1 July 1990); doi: 10.1117/12.2294846; https://doi.org/10.1117/12.2294846
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