Journal of Mathematical Sciences & Computer Applications
http://journals.atlas-publishing.org/index.php/JMSCA
<p>Journal of Mathematical Sciences & Computer Applications is an open access, peer-reviewed international journal that publishes original research articles, short communications, and review articles in all fields of Mathematical Sciences & Computer Applications.</p>Atlas Publishing, LLCen-USJournal of Mathematical Sciences & Computer Applications2158-933XUsing Few Radon Projections to Recover 3-D NMR Spectrum
http://journals.atlas-publishing.org/index.php/JMSCA/article/view/171
<p><strong>Given a regular binary function <em>f</em> on R<sup>2</sup> with compact support D, we use translation to form a new binary function <em>g</em> from <em>f</em> so that the image representation of <em>g (x, y) </em></strong><strong>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 </strong><strong>mathematical abstraction of an application of the Radon transform in Spectroscopy.</strong><br><strong>Keywords: Radon transforms, transformation of an image, Back projection.</strong></p>Fawaz Ibrahim Hjouj
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2017-12-202017-12-2014916010.5147/jmsca.v0i0.171