{"id":663,"date":"2025-12-07T09:51:25","date_gmt":"2025-12-07T15:51:25","guid":{"rendered":"https:\/\/ceid.utsa.edu\/agrigoryan\/?page_id=663"},"modified":"2025-12-16T16:51:14","modified_gmt":"2025-12-16T22:51:14","slug":"research-in-computed-tomography","status":"publish","type":"page","link":"https:\/\/ceid.utsa.edu\/agrigoryan\/research-in-computed-tomography\/","title":{"rendered":"Research in Computed Tomography"},"content":{"rendered":"<p><span style=\"font-size: 14pt\"><span style=\"font-family: 'times new roman', times, serif\">Main publications on solving the problem of <em>Image Reconstruction From a Finite Number of Projections <\/em><\/span><span style=\"font-family: 'times new roman', times, serif\">(The problem was solved)<\/span><span style=\"font-family: 'times new roman', times, serif\">:<\/span><\/span><\/p>\n<ul style=\"list-style-type: square\">\n<li><span style=\"color: #220011;font-family: times new roman,times,serif\">A.M. Grigoryan and M.M. Grigoryan, <em><a href=\"https:\/\/www.crcpress.com\/Image-Processing-Tensor-Transform-and-Discrete-Tomography-with-MATLAB\/Grigoryan-Grigoryan\/p\/book\/9781466509948?utm_source=WhatCounts+Publicaster+Edition&amp;utm_medium=email&amp;utm_campaign=JJL17_Signal_Processing&amp;utm_content=Image+Processing%3A%0DTensor+Transform+and%0DDiscrete+Tomography%0Dwith+MATLAB%28r%29%3Cfont\">Image Processing: Tensor Transform and Discrete Tomography with MATLAB<\/a>, <\/em>CRC Press Taylor and Francis Group, 2012.\u00a0<\/span><\/li>\n<li><span style=\"color: #000000;font-family: times new roman,times,serif\">A.M. Grigoryan, \u201cImage reconstruction from finite number of projections: Method of transferring geometry<span style=\"font-family: 'times new roman', times, serif\">,\u201d <\/span><i>IEEE Trans. on Image Processing,<\/i> vol. 22, no. 12, pp. 4738-4751, December 2013 (<a href=\"https:\/\/ieeexplore.ieee.org\/document\/6576891\">view at IEEE<\/a>).<\/span><\/li>\n<li><span style=\"color: #000000;font-family: times new roman,times,serif\">A.M. Grigoryan, \u201cSolution of the problem on image reconstruction in computed tomography<span style=\"font-family: times new roman,times,serif\"><span style=\"font-family: 'times new roman', times, serif\">,\u201d <\/span><\/span><i>Journal of Mathematical Imaging and Vision<\/i>, vol. 54, Issue 1, pp. 35-63, January 2016. (<a href=\"http:\/\/link.springer.com\/article\/10.1007\/s10851-015-0588-6\">view at JMIV<\/a>).<\/span><\/li>\n<li><span style=\"color: #000000;font-family: times new roman,times,serif\"> A.M. Grigoryan, Nan Du, \u201cPrinciple of superposition by direction images<span style=\"font-family: 'times new roman', times, serif\">,\u201d<\/span> <i>IEEE Trans. on Image Processing,<\/i> vol. 20, no. 9, pp. 2531-2541, September 2011 (<a href=\"http:\/\/ieeexplore.ieee.org\/xpl\/articleDetails.jsp?tp=&amp;arnumber=5732694&amp;contentType=Journals+%26+Magazines&amp;searchWithin%3Dp_Authors%3A.QT.Grigoryan%2C+A.M..QT.%26sortType%3Ddesc_p_Publication_Year%26searchField%3DSearch_All\">view at IEEE<\/a>)<\/span><\/li>\n<li><span style=\"color: #000000;font-family: times new roman,times,serif\">A.M. Grigoryan, Nan Du, \u201cComments on \u201cGeneralized finite Radon transform for N\u00d7N images\u201d,\u201d <i>IMAVIS, <\/i> vol. 29, no 11, pp. 797-801, November 2011. (<a href=\"http:\/\/www.sciencedirect.com\/science\/article\/pii\/S0262885611000497\">view at Image and Vision Computing<\/a>)<\/span><\/li>\n<li><span style=\"font-family: times new roman,times,serif\">A.M. Grigoryan and Nan Du, <span style=\"color: #000000\">\u201cNovel tensor transform-based method of image reconstruction from limited-angle projection data,\u201d<\/span> [9020-14], SPIE proceedings, <i>2014 Electronic Imaging: Computational Imaging XII, <\/i>February 2-6, San Francisco, California, 2014.<\/span><\/li>\n<li><span style=\"font-family: times new roman,times,serif\">A.M. Grigoryan and Nan Du, \u201cNew formula for image reconstruction from projections by the 2-D paired transformation,\u201d presented in <i> 2009 IEEE International Conference on Systems, Man, and Cybernetics (SMC 2009),<\/i> pp. 153-156, San Antonio, Texas, USA, October 11-14, 2009 (<a href=\"https:\/\/ieeexplore.ieee.org\/document\/5346578\">view at IEEE<\/a> or see the presentation in Slides and Posters)<\/span><\/li>\n<li><span style=\"font-family: times new roman,times,serif\">A.M, Grigoryan and Nan Du, \u201c<a href=\"https:\/\/www.spiedigitallibrary.org\/conference-proceedings-of-spie\/8667\/866719\/Method-of-G-particles-for-image-reconstruction-from-a-finite\/10.1117\/12.2000482.full\">Method of field transformation of G-particles for image reconstruction from a finite number of projections<\/a>,\u201d SPIE proceedings, <i>SPIE Electronic Imaging,<\/i> February 3-7, Burlingame, California, 2013. <\/span><\/li>\n<li><span style=\"font-family: times new roman,times,serif\">Nan Du, Y. Feng, and A.M, Grigoryan, \u201c<a href=\"https:\/\/www.spiedigitallibrary.org\/conference-proceedings-of-spie\/8667\/866718\/Reconstruction-of-the-image-on-the-Cartesian-lattice-from-a\/10.1117\/12.2000152.full\">Reconstruction of the image on the Cartesian lattice from a finite number of projections in computed-tomographic imaging<\/a>,\u201d SPIE proceedings, <i>SPIE Electronic Imaging,<\/i> February 3-7, Burlingame, California, 2013. <\/span><\/li>\n<li><span style=\"font-family: times new roman,times,serif\">Nan Du, Y. Feng, and A.M, Grigoryan, \u201c<a href=\"https:\/\/www.spiedigitallibrary.org\/conference-proceedings-of-spie\/8668\/86683I\/Image-reconstruction-from-limited-angle-range-projections\/10.1117\/12.2007598.full\">Image reconstruction from limited-angle range projections<\/a>,\u201d SPIE proceedings, <i>SPIE Medical Imaging,<\/i> February 9-14, Florida, 2013.<\/span><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Main publications on solving the problem of Image Reconstruction From a Finite Number of Projections (The problem was solved): A.M. Grigoryan and M.M. Grigoryan, Image Processing: Tensor Transform and Discrete Tomography with MATLAB, CRC Press Taylor and Francis Group, 2012.\u00a0 A.M. Grigoryan, \u201cImage reconstruction from finite number of projections: Method of transferring geometry,\u201d IEEE Trans. &hellip; <\/p>\n<p class=\"link-more\"><a href=\"https:\/\/ceid.utsa.edu\/agrigoryan\/research-in-computed-tomography\/\" class=\"more-link\">Continue reading<span class=\"screen-reader-text\"> &#8220;Research in Computed Tomography&#8221;<\/span><\/a><\/p>\n","protected":false},"author":44,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-663","page","type-page","status-publish","hentry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.4 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Research in Computed Tomography - Artyom (Art) Grigoryan<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/ceid.utsa.edu\/agrigoryan\/research-in-computed-tomography\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Research in Computed Tomography - Artyom (Art) Grigoryan\" \/>\n<meta property=\"og:description\" content=\"Main publications on solving the problem of Image Reconstruction From a Finite Number of Projections (The problem was solved): A.M. 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Grigoryan and M.M. Grigoryan, Image Processing: Tensor Transform and Discrete Tomography with MATLAB, CRC Press Taylor and Francis Group, 2012.\u00a0 A.M. Grigoryan, \u201cImage reconstruction from finite number of projections: Method of transferring geometry,\u201d IEEE Trans. &hellip; Continue reading \"Research in Computed Tomography\"","og_url":"https:\/\/ceid.utsa.edu\/agrigoryan\/research-in-computed-tomography\/","og_site_name":"Artyom (Art) Grigoryan","article_modified_time":"2025-12-16T22:51:14+00:00","twitter_card":"summary_large_image","twitter_misc":{"Est. reading time":"2 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/ceid.utsa.edu\/agrigoryan\/research-in-computed-tomography\/","url":"https:\/\/ceid.utsa.edu\/agrigoryan\/research-in-computed-tomography\/","name":"Research in Computed Tomography - Artyom (Art) Grigoryan","isPartOf":{"@id":"https:\/\/ceid.utsa.edu\/agrigoryan\/#website"},"datePublished":"2025-12-07T15:51:25+00:00","dateModified":"2025-12-16T22:51:14+00:00","breadcrumb":{"@id":"https:\/\/ceid.utsa.edu\/agrigoryan\/research-in-computed-tomography\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/ceid.utsa.edu\/agrigoryan\/research-in-computed-tomography\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/ceid.utsa.edu\/agrigoryan\/research-in-computed-tomography\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/ceid.utsa.edu\/agrigoryan\/"},{"@type":"ListItem","position":2,"name":"Research in Computed Tomography"}]},{"@type":"WebSite","@id":"https:\/\/ceid.utsa.edu\/agrigoryan\/#website","url":"https:\/\/ceid.utsa.edu\/agrigoryan\/","name":"Artyom (Art) Grigoryan","description":"","publisher":{"@id":"https:\/\/ceid.utsa.edu\/agrigoryan\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/ceid.utsa.edu\/agrigoryan\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"en-US"},{"@type":"Organization","@id":"https:\/\/ceid.utsa.edu\/agrigoryan\/#organization","name":"UTSA College of Engineering","url":"https:\/\/ceid.utsa.edu\/agrigoryan\/","logo":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/ceid.utsa.edu\/agrigoryan\/#\/schema\/logo\/image\/","url":"https:\/\/ceid.utsa.edu\/agrigoryan\/wp-content\/uploads\/sites\/23\/2017\/07\/cropped-COE-Casual-single.png","contentUrl":"https:\/\/ceid.utsa.edu\/agrigoryan\/wp-content\/uploads\/sites\/23\/2017\/07\/cropped-COE-Casual-single.png","width":1932,"height":250,"caption":"UTSA College of Engineering"},"image":{"@id":"https:\/\/ceid.utsa.edu\/agrigoryan\/#\/schema\/logo\/image\/"}}]}},"_links":{"self":[{"href":"https:\/\/ceid.utsa.edu\/agrigoryan\/wp-json\/wp\/v2\/pages\/663","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ceid.utsa.edu\/agrigoryan\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/ceid.utsa.edu\/agrigoryan\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/ceid.utsa.edu\/agrigoryan\/wp-json\/wp\/v2\/users\/44"}],"replies":[{"embeddable":true,"href":"https:\/\/ceid.utsa.edu\/agrigoryan\/wp-json\/wp\/v2\/comments?post=663"}],"version-history":[{"count":0,"href":"https:\/\/ceid.utsa.edu\/agrigoryan\/wp-json\/wp\/v2\/pages\/663\/revisions"}],"wp:attachment":[{"href":"https:\/\/ceid.utsa.edu\/agrigoryan\/wp-json\/wp\/v2\/media?parent=663"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}