{"id":"https://openalex.org/W2149435812","doi":"https://doi.org/10.1109/iscas.2009.5118235","title":"Three dimensional integer rotation transform and improvement of its compatibility","display_name":"Three dimensional integer rotation transform and improvement of its compatibility","publication_year":2009,"publication_date":"2009-05-01","ids":{"openalex":"https://openalex.org/W2149435812","doi":"https://doi.org/10.1109/iscas.2009.5118235","mag":"2149435812"},"language":"en","primary_location":{"id":"doi:10.1109/iscas.2009.5118235","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iscas.2009.5118235","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 IEEE International Symposium on Circuits and Systems","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/A5036393534","display_name":"Masahiro Iwahashi","orcid":"https://orcid.org/0000-0002-7566-1247"},"institutions":[{"id":"https://openalex.org/I85922643","display_name":"Nagaoka University of Technology","ror":"https://ror.org/00ys1hz88","country_code":"JP","type":"education","lineage":["https://openalex.org/I85922643"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Masahiro Iwahashi","raw_affiliation_strings":["Department of Electrical Engineering, Nagaoka University of Technology, Nagaoka, Niigata, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Nagaoka University of Technology, Nagaoka, Niigata, Japan","institution_ids":["https://openalex.org/I85922643"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5001867000","display_name":"Kenta Oguni","orcid":null},"institutions":[{"id":"https://openalex.org/I85922643","display_name":"Nagaoka University of Technology","ror":"https://ror.org/00ys1hz88","country_code":"JP","type":"education","lineage":["https://openalex.org/I85922643"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Kenta Oguni","raw_affiliation_strings":["Department of Electrical Engineering, Nagaoka University of Technology, Nagaoka, Niigata, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Nagaoka University of Technology, Nagaoka, Niigata, Japan","institution_ids":["https://openalex.org/I85922643"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5036393534"],"corresponding_institution_ids":["https://openalex.org/I85922643"],"apc_list":null,"apc_paid":null,"fwci":1.2943,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.83332953,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"2205","last_page":"2208"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9994999766349792,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9994999766349792,"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/T10901","display_name":"Advanced Data Compression Techniques","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/T11034","display_name":"Digital Filter Design and Implementation","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/rounding","display_name":"Rounding","score":0.9116539359092712},{"id":"https://openalex.org/keywords/compatibility","display_name":"Compatibility (geochemistry)","score":0.6660654544830322},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5989453196525574},{"id":"https://openalex.org/keywords/multiplier","display_name":"Multiplier (economics)","score":0.5854536890983582},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.5524102449417114},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4670411944389343},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.37256696820259094},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.33690860867500305},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3052208423614502},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.10428857803344727}],"concepts":[{"id":"https://openalex.org/C136625980","wikidata":"https://www.wikidata.org/wiki/Q663208","display_name":"Rounding","level":2,"score":0.9116539359092712},{"id":"https://openalex.org/C2778648169","wikidata":"https://www.wikidata.org/wiki/Q967768","display_name":"Compatibility (geochemistry)","level":2,"score":0.6660654544830322},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5989453196525574},{"id":"https://openalex.org/C124584101","wikidata":"https://www.wikidata.org/wiki/Q1053266","display_name":"Multiplier (economics)","level":2,"score":0.5854536890983582},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.5524102449417114},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4670411944389343},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.37256696820259094},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.33690860867500305},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3052208423614502},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.10428857803344727},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C139719470","wikidata":"https://www.wikidata.org/wiki/Q39680","display_name":"Macroeconomics","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C42360764","wikidata":"https://www.wikidata.org/wiki/Q83588","display_name":"Chemical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/iscas.2009.5118235","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iscas.2009.5118235","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 IEEE International Symposium on Circuits and Systems","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W1563660109","https://openalex.org/W2020919250","https://openalex.org/W2118536847","https://openalex.org/W2130097796","https://openalex.org/W2132715403"],"related_works":["https://openalex.org/W2993667417","https://openalex.org/W2899196999","https://openalex.org/W2043766215","https://openalex.org/W3084720115","https://openalex.org/W2255550028","https://openalex.org/W4236921914","https://openalex.org/W2921918181","https://openalex.org/W191585069","https://openalex.org/W2051303009","https://openalex.org/W2560012549"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"a":[3,54],"new":[4],"structure":[5],"of":[6,16,35,37,46,57,62],"three":[7],"dimensional":[8],"integer":[9,79],"rotation":[10,80],"transform":[11,81],"is":[12,19,40,66,82],"proposed.":[13],"The":[14],"number":[15],"rounding":[17,61],"operations":[18],"reduced":[20,67],"from":[21],"nine":[22],"to":[23,42,60,75],"four":[24],"by":[25,68],"introducing":[26],"multi":[27],"input":[28,38],"lifting":[29,51],"branches.":[30,52],"Furthermore,":[31],"the":[32,50,76],"best":[33],"combination":[34],"order":[36],"signals":[39,63],"determined":[41],"avoid":[43],"singular":[44],"points":[45],"multiplier":[47],"coefficients":[48],"in":[49],"As":[53],"result,":[55],"variance":[56],"errors":[58],"due":[59],"into":[64],"integers":[65],"42.9[%]":[69],"at":[70],"maximum":[71],"and":[72],"its":[73],"compatibility":[74],"conventional":[77],"non":[78],"improved.":[83]},"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}