{"id":"https://openalex.org/W2171177138","doi":"https://doi.org/10.1109/icip.2008.4711941","title":"A near optimal coder for image geometry with adaptive partitioning","display_name":"A near optimal coder for image geometry with adaptive partitioning","publication_year":2008,"publication_date":"2008-01-01","ids":{"openalex":"https://openalex.org/W2171177138","doi":"https://doi.org/10.1109/icip.2008.4711941","mag":"2171177138"},"language":"en","primary_location":{"id":"doi:10.1109/icip.2008.4711941","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icip.2008.4711941","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 15th IEEE International Conference on Image Processing","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5017771205","display_name":"Arian Maleki","orcid":"https://orcid.org/0000-0002-5626-5206"},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Arian Maleki","raw_affiliation_strings":["Department of Electrical Engineering, University of Stanford"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, University of Stanford","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070271414","display_name":"Morteza Shahram","orcid":null},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Morteza Shahram","raw_affiliation_strings":["Department of Statistics, University of Stanford"],"affiliations":[{"raw_affiliation_string":"Department of Statistics, University of Stanford","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101780634","display_name":"Gunnar Carlsson","orcid":"https://orcid.org/0000-0002-0591-5475"},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Gunnar Carlsson","raw_affiliation_strings":["Department of Mathematics, University of Stanford"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Stanford","institution_ids":["https://openalex.org/I97018004"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5017771205"],"corresponding_institution_ids":["https://openalex.org/I97018004"],"apc_list":null,"apc_paid":null,"fwci":1.7559,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.87167882,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"1061","last_page":"1064"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10901","display_name":"Advanced Data Compression Techniques","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10901","display_name":"Advanced Data Compression Techniques","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10531","display_name":"Advanced Vision and Imaging","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10052","display_name":"Medical Image Segmentation Techniques","score":0.9969000220298767,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.5877600908279419},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.5442606806755066},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.5294396877288818},{"id":"https://openalex.org/keywords/data-compression","display_name":"Data compression","score":0.5188178420066833},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.501882791519165},{"id":"https://openalex.org/keywords/rate\u2013distortion-theory","display_name":"Rate\u2013distortion theory","score":0.5006413459777832},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.49983954429626465},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4508516490459442},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39018943905830383},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3430083394050598},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.33861494064331055},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2602998614311218},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2312837839126587}],"concepts":[{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.5877600908279419},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5442606806755066},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.5294396877288818},{"id":"https://openalex.org/C78548338","wikidata":"https://www.wikidata.org/wiki/Q2493","display_name":"Data compression","level":2,"score":0.5188178420066833},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.501882791519165},{"id":"https://openalex.org/C64185310","wikidata":"https://www.wikidata.org/wiki/Q843483","display_name":"Rate\u2013distortion theory","level":3,"score":0.5006413459777832},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.49983954429626465},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4508516490459442},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39018943905830383},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3430083394050598},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.33861494064331055},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2602998614311218},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2312837839126587},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icip.2008.4711941","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icip.2008.4711941","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 15th IEEE International Conference on Image Processing","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320332180","display_name":"Defense Advanced Research Projects Agency","ror":"https://ror.org/02caytj08"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1480376833","https://openalex.org/W1485280399","https://openalex.org/W2024952661","https://openalex.org/W2056963858","https://openalex.org/W2066462711","https://openalex.org/W2099111195","https://openalex.org/W2109504624","https://openalex.org/W2112413732","https://openalex.org/W2117853853","https://openalex.org/W2139046665","https://openalex.org/W2143562360","https://openalex.org/W2145889472","https://openalex.org/W2160547390","https://openalex.org/W2166796177","https://openalex.org/W2171177138","https://openalex.org/W6628911976","https://openalex.org/W6680606971"],"related_works":["https://openalex.org/W2385263368","https://openalex.org/W2347422947","https://openalex.org/W2061292372","https://openalex.org/W2353392568","https://openalex.org/W2377341410","https://openalex.org/W1454600515","https://openalex.org/W328874995","https://openalex.org/W25079857","https://openalex.org/W2005126053","https://openalex.org/W2172084624"],"abstract_inverted_index":{"In":[0],"this":[1,73],"paper,":[2],"we":[3,33,90],"present":[4,61],"a":[5,57,76,80,92,120],"new":[6],"framework":[7,15],"to":[8,70,108],"compress":[9],"the":[10,17,100,103,110,116,125,129],"geometry":[11,26],"of":[12,24,50,79,82,102],"images.":[13],"This":[14],"generalizes":[16],"standard":[18,126],"quad":[19],"partitioning":[20,38],"approaches":[21],"in":[22,29],"compression":[23],"image":[25],"(e.g.":[27],"wedgelet)":[28],"two":[30],"ways.":[31],"First,":[32],"employ":[34],"an":[35,47,62],"adaptive":[36],"rectangular":[37],"rather":[39],"than":[40],"quadratic":[41],"partitioning.":[42],"Second,":[43],"our":[44],"coder":[45],"uses":[46],"overcomplete":[48],"collection":[49,74],"(stripe-like)":[51],"atoms":[52],"which":[53],"contains":[54],"wedgelets":[55,127],"as":[56],"special":[58],"case.":[59],"We":[60],"information-theoretical":[63],"analysis":[64],"based":[65],"on":[66],"Kolmogorov's":[67],"e-":[68],"entropy":[69,111],"show":[71],"that":[72,97],"provides":[75],"near-optimal":[77,94],"representation":[78],"class":[81],"cartoon":[83],"images":[84],"with":[85],"piecewise":[86],"polynomial":[87],"boundaries.":[88],"Furthermore,":[89],"develop":[91],"provably":[93],"greedy":[95],"algorithm":[96],"significantly":[98],"reduces":[99],"complexity":[101],"exhaustive":[104],"search":[105],"method":[106],"required":[107],"achieve":[109],"bound.":[112],"Simulation":[113],"results":[114],"for":[115,128],"rate":[117],"distortion":[118],"shows":[119],"1.5-2":[121],"dB":[122],"improvement":[123],"over":[124],"\"Cameraman\"":[130],"image.":[131]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
