Journal of Mathematical Sciences & Computer Applications 2018-01-21T02:44:39-05:00 Abdelmajid Kassem Open Journal Systems <p>Journal of Mathematical Sciences &amp; Computer Applications&nbsp;is an open access, peer-reviewed international journal that publishes original research articles, short communications, and review articles in all fields of&nbsp;Mathematical Sciences &amp; Computer Applications.</p> Using Few Radon Projections to Recover 3-D NMR Spectrum 2018-01-21T02:44:39-05:00 Fawaz Ibrahim Hjouj <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&nbsp; 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> 2017-12-20T00:00:00-05:00 ##submission.copyrightStatement##