{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/20956"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/20956","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Representation and coding of images using wavelets","abstract":"Recently, there have been intense research activities in the theory of wavelets, driven by its application in a wide variety of areas, especially in image processing. This dissertation presents a body of work addressing the application aspects of wavelets in representation and coding of images.","abstract_html":"Recently, there have been intense research activities in the theory of wavelets, driven by its application in a wide variety of areas, especially in image processing. This dissertation presents a body of work addressing the application aspects of wavelets in representation and coding of images.","abstract_has_math":false,"creators":["Xiong, Zixiang"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Electrical Engineering","degree_department":null,"school":null,"contributors":["Ramchandran, Kannan"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2011,"date_issued":"2011-05-07T12:54:09Z","date_published":"2011-05-07T12:54:09Z","updated_at":"2026-07-22T22:25:17Z","subjects":["Engineering, Electronics and Electrical"],"languages":["eng"],"rights":["Copyright 1996 Xiong, Zixiang"],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["9780591199703","AAI9712488","(UMI)AAI9712488"],"render_values":[{"text":"9780591199703","href":null,"code":true},{"text":"AAI9712488","href":null,"code":true},{"text":"(UMI)AAI9712488","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/20956","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Ramchandran, Kannan"]},{"key":"dc:creator","label":"Author","values":["Xiong, Zixiang"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2011-05-07T12:54:09Z","10000-01-01","1996"]},{"key":"dc:type","label":"Dc Type","values":["text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Electrical Engineering"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Dissertation"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Ph.D."]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["University of Illinois at Urbana-Champaign"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Engineering, Electronics and Electrical"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["eng"]},{"key":"dc:rights","label":"Dc Rights","values":["Copyright 1996 Xiong, Zixiang"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["9780591199703","AAI9712488","(UMI)AAI9712488","http://hdl.handle.net/2142/20956"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["Recently, there have been intense research activities in the theory of wavelets, driven by its application in a wide variety of areas, especially in image processing. This dissertation presents a body of work addressing the application aspects of wavelets in representation and coding of images.","We first introduce a novel space-frequency quantization (SFQ) scheme for wavelet image coding, which jointly optimizes scalar quantization and zerotree quantization using a rate-distortion optimization framework. The SFQ scheme can be viewed as a variant of Shapiro's embedded zerotree image coder (1) with impressive coding gain. We then extend SFQ from wavelet to wavelet packet (possibly space-varying) decompositions, achieving coding performance that is the best in the published literature.","We then examine the question of how to choose a space-varying wavelet packet tree representation that minimizes some additive cost function for an image. The idea is that for a practical cost function, some tree structures will perform better than others. We build new libraries of tree-structured bases for image representation with space-varying wavelet packets and devise fast algorithms for finding the best basis from the libraries. Using these algorithms to select the best tree-structured representation with a rate-distortion cost function gives very efficient adaptive compression schemes that are competitive with the best training-based schemes.","Made available in DSpace on 2011-05-07T12:54:09Z (GMT). No. of bitstreams: 2 license.txt: 4922 bytes, checksum: 910b249b4beec47e7ab768910c8f966f (MD5) 9712488.pdf: 6593627 bytes, checksum: cbb808fa639ff474f4e2500e58b62a56 (MD5) Previous issue date: 1996","Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Howard Ding (hding2@illinois.edu) on 2011-05-07T14:47:30Z Item is restricted indefinitely.","Restriction data tranferred 2014-07-01T11:21:27-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: ETDs are only available to UIUC Users without author permission","ETDs are only available to UIUC Users without author permission","U of I Only"]},{"key":"dc:title","label":"Title","values":["Representation and coding of images using wavelets"]}]}],"canonical_facts":{"dc:contributor":["Ramchandran, Kannan"],"dc:creator":["Xiong, Zixiang"],"dc:date":["2011-05-07T12:54:09Z","10000-01-01","1996"],"dc:description":["Recently, there have been intense research activities in the theory of wavelets, driven by its application in a wide variety of areas, especially in image processing. This dissertation presents a body of work addressing the application aspects of wavelets in representation and coding of images.","We first introduce a novel space-frequency quantization (SFQ) scheme for wavelet image coding, which jointly optimizes scalar quantization and zerotree quantization using a rate-distortion optimization framework. The SFQ scheme can be viewed as a variant of Shapiro's embedded zerotree image coder (1) with impressive coding gain. We then extend SFQ from wavelet to wavelet packet (possibly space-varying) decompositions, achieving coding performance that is the best in the published literature.","We then examine the question of how to choose a space-varying wavelet packet tree representation that minimizes some additive cost function for an image. The idea is that for a practical cost function, some tree structures will perform better than others. We build new libraries of tree-structured bases for image representation with space-varying wavelet packets and devise fast algorithms for finding the best basis from the libraries. Using these algorithms to select the best tree-structured representation with a rate-distortion cost function gives very efficient adaptive compression schemes that are competitive with the best training-based schemes.","Made available in DSpace on 2011-05-07T12:54:09Z (GMT). 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