{"id":{"repo_id":"vt","oai_identifier":"oai:vtechworks.lib.vt.edu:10919/30304"},"canonical_url":"https://search.dev.ndltd.org/etd/vt/oai:vtechworks.lib.vt.edu:10919/30304","repository":{"repo_id":"vt","name":"Virginia Tech","base_url":"https://vtechworks.lib.vt.edu/oai/request"},"display":{"title":"Analysis and Reduction of Moire Patterns in Scanned Halftone Pictures","abstract":"In this dissertation we provide a comprehensive theory for the formation of a moire pattern in a sampled halftone image. We explore techniques for restoring a sampled halftone image with a moire pattern and techniques for preventing a moire pattern when a halftone picture is scanned. Specifically, we study the frequency, phase, and spatial geometry of a moire pattern. We observe and explain the half period phase reversal phenomenon that a moire pattern may exhibit. As a case study, we examine the moire patterns generated by a commercial scanner. We propose three restoration methods, including a notch filtering method, a simulation method, and a relaxation method. We also describe a moire prevention method, the partial inverse Fourier transform method. Finally, we propose a research agenda for further investigation.","abstract_html":"In this dissertation we provide a comprehensive theory for the formation of a moire pattern in a sampled halftone image. We explore techniques for restoring a sampled halftone image with a moire pattern and techniques for preventing a moire pattern when a halftone picture is scanned. Specifically, we study the frequency, phase, and spatial geometry of a moire pattern. We observe and explain the half period phase reversal phenomenon that a moire pattern may exhibit. As a case study, we examine the moire patterns generated by a commercial scanner. We propose three restoration methods, including a notch filtering method, a simulation method, and a relaxation method. We also describe a moire prevention method, the partial inverse Fourier transform method. Finally, we propose a research agenda for further investigation.","abstract_has_math":false,"creators":["Liu, Xiangdong"],"institution":"Virginia Tech","degree_name":"Ph. D.","degree_level":"doctoral","degree_discipline":"Computer Science","degree_department":"Computer Science","school":null,"contributors":[],"advisors":[],"committee_chairs":["Ehrich, Roger W."],"committee_members":["Shaffer, Clifford A.","Heath, Lenwood S.","Campbell, James B. Jr.","Abbott, A. Lynn"],"year":1996,"date_issued":"1996-05-01","date_published":"1996-05-01","updated_at":"2026-07-22T22:19:07Z","subjects":["moire patterns","halftone","scanning","image processing","Fourier analysis"],"languages":[],"rights":["In Copyright"],"rights_urls":["http://rightsstatements.org/vocab/InC/1.0/"],"identifier_entries":[{"key":"dc:identifier.other","label":"Dc Identifier Other","values":["etd-158151259631631"],"render_values":[{"text":"etd-158151259631631","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/10919/30304","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.committeechair","label":"Committee Chair","values":["Ehrich, Roger W."]},{"key":"dc:contributor.committeemember","label":"Committee Member","values":["Shaffer, Clifford A.","Heath, Lenwood S.","Campbell, James B. Jr.","Abbott, A. 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We explore techniques for restoring a sampled halftone image with a moire pattern and techniques for preventing a moire pattern when a halftone picture is scanned. Specifically, we study the frequency, phase, and spatial geometry of a moire pattern. We observe and explain the half period phase reversal phenomenon that a moire pattern may exhibit. As a case study, we examine the moire patterns generated by a commercial scanner. We propose three restoration methods, including a notch filtering method, a simulation method, and a relaxation method. We also describe a moire prevention method, the partial inverse Fourier transform method. Finally, we propose a research agenda for further investigation."]},{"key":"dc:description.degree","label":"Dc Description Degree","values":["Ph. D."]},{"key":"dc:title","label":"Title","values":["Analysis and Reduction of Moire Patterns in Scanned Halftone Pictures"]}]}],"canonical_facts":{"dc:contributor.committeechair":["Ehrich, Roger W."],"dc:contributor.committeemember":["Shaffer, Clifford A.","Heath, Lenwood S.","Campbell, James B. Jr.","Abbott, A. Lynn"],"dc:contributor.department":["Computer Science"],"dc:creator":["Liu, Xiangdong"],"dc:date.accessioned":["2014-03-14T20:21:20Z"],"dc:date.available":["2014-03-14T20:21:20Z","1996-05-01"],"dc:date.issued":["1996-05-01"],"dc:description.abstract":["In this dissertation we provide a comprehensive theory for the formation of a moire pattern in a sampled halftone image. We explore techniques for restoring a sampled halftone image with a moire pattern and techniques for preventing a moire pattern when a halftone picture is scanned. Specifically, we study the frequency, phase, and spatial geometry of a moire pattern. 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