Computed tomography (CT) is image reconstruction of objects using computer processed transmission or reflection data, usually referred to as projection data, from x-ray scanning. This projection data is often modeled using line integrals, but x-rays are of finite width in reality, so the accuracy of the projection data can be improved if an area based approach is used instead. In addition emitter beam shapes affect the reconstruction effectiveness and data collection efficiency, with the two main types of beam choice for 2-D scanning being fan beam and parallel beam. Fan beam scanning offers some advantages over parallel beam, such as faster data collection. This paper presents an area based fan beam projection model for CT and discusses its effectiveness based on numerical image reconstruction experiments using the proposed model, and several different reconstruction algorithms.
","abstract_html":"<p>Computed tomography (CT) is image reconstruction of objects using computer processed transmission or reflection data, usually referred to as projection data, from x-ray scanning. This projection data is often modeled using line integrals, but x-rays are of finite width in reality, so the accuracy of the projection data can be improved if an area based approach is used instead. In addition emitter beam shapes affect the reconstruction effectiveness and data collection efficiency, with the two main types of beam choice for 2-D scanning being fan beam and parallel beam. Fan beam scanning offers some advantages over parallel beam, such as faster data collection. This paper presents an area based fan beam projection model for CT and discusses its effectiveness based on numerical image reconstruction experiments using the proposed model, and several different reconstruction algorithms.</p>","abstract_has_math":false,"creators":["Stevens, Phillip J."],"institution":null,"degree_name":"Master of Science in Mathematics (M.S.)","degree_level":"Thesis (restricted to Georgia Southern)","degree_discipline":"Department of Mathematical Sciences","degree_department":null,"school":null,"contributors":["Xiezhang Li","Hua Wang"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2014,"date_issued":"2014-01-01T08:00:00Z","date_published":"2014-01-01T08:00:00Z","updated_at":"2026-07-24T02:27:52Z","subjects":["Computed Tomography","Projection models","Fan Beam","Iterated Reconstruction Algorithms","Numerical Analysis and Computation","Other Applied Mathematics"],"languages":[],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://digitalcommons.georgiasouthern.edu/etd/1061","outbound_label":"Repository record","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Xiezhang Li","Hua Wang"]},{"key":"dc:creator","label":"Author","values":["Stevens, Phillip J."]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.available","label":"Dc Date Available","values":["2014-04-11T07:00:00Z"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Department of Mathematical Sciences"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Thesis (restricted to Georgia Southern)"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Master of Science in Mathematics (M.S.)"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Computed Tomography","Projection models","Fan Beam","Iterated Reconstruction Algorithms","Numerical Analysis and Computation","Other Applied Mathematics"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["https://digitalcommons.georgiasouthern.edu/etd/1061"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["Computed tomography (CT) is image reconstruction of objects using computer processed transmission or reflection data, usually referred to as projection data, from x-ray scanning. This projection data is often modeled using line integrals, but x-rays are of finite width in reality, so the accuracy of the projection data can be improved if an area based approach is used instead. In addition emitter beam shapes affect the reconstruction effectiveness and data collection efficiency, with the two main types of beam choice for 2-D scanning being fan beam and parallel beam. Fan beam scanning offers some advantages over parallel beam, such as faster data collection. This paper presents an area based fan beam projection model for CT and discusses its effectiveness based on numerical image reconstruction experiments using the proposed model, and several different reconstruction algorithms.
"]},{"key":"dc:title","label":"Title","values":["Area Based Fan Beam Projection Model for Computed Tomography"]}]}],"canonical_facts":{"dc:contributor":["Xiezhang Li","Hua Wang"],"dc:creator":["Stevens, Phillip J."],"dc:date.available":["2014-04-11T07:00:00Z"],"dc:description.abstract":["Computed tomography (CT) is image reconstruction of objects using computer processed transmission or reflection data, usually referred to as projection data, from x-ray scanning. This projection data is often modeled using line integrals, but x-rays are of finite width in reality, so the accuracy of the projection data can be improved if an area based approach is used instead. In addition emitter beam shapes affect the reconstruction effectiveness and data collection efficiency, with the two main types of beam choice for 2-D scanning being fan beam and parallel beam. Fan beam scanning offers some advantages over parallel beam, such as faster data collection. This paper presents an area based fan beam projection model for CT and discusses its effectiveness based on numerical image reconstruction experiments using the proposed model, and several different reconstruction algorithms.
"],"dc:identifier":["https://digitalcommons.georgiasouthern.edu/etd/1061"],"dc:subject":["Computed Tomography","Projection models","Fan Beam","Iterated Reconstruction Algorithms","Numerical Analysis and Computation","Other Applied Mathematics"],"dc:title":["Area Based Fan Beam Projection Model for Computed Tomography"],"thesis:degree_discipline":["Department of Mathematical Sciences"],"thesis:degree_level":["Thesis (restricted to Georgia Southern)"],"thesis:degree_name":["Master of Science in Mathematics (M.S.)"]},"updated_at":"2026-07-24T02:27:52Z"}