Journal of Mathematical Sciences & Computer Applications http://journals.atlas-publishing.org/index.php/JMSCA <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> Atlas Publishing, LLC en-US Journal of Mathematical Sciences & Computer Applications 2158-933X Using 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&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> Fawaz Ibrahim Hjouj ##submission.copyrightStatement## 2017-12-20 2017-12-20 149 160 10.5147/jmsca.v0i0.171