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> en-US editor@atlas-publishing.org (Abdelmajid Kassem) Sat, 06 Jan 2018 16:14:31 +0000 OJS 3.1.0.1 http://blogs.law.harvard.edu/tech/rss 60 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## http://journals.atlas-publishing.org/index.php/JMSCA/article/view/171 Wed, 20 Dec 2017 00:00:00 +0000