{"id":"https://openalex.org/W2079235729","doi":"https://doi.org/10.1145/130826.130833","title":"Double-step incremental linear interpolation","display_name":"Double-step incremental linear interpolation","publication_year":1992,"publication_date":"1992-04-01","ids":{"openalex":"https://openalex.org/W2079235729","doi":"https://doi.org/10.1145/130826.130833","mag":"2079235729"},"language":"en","primary_location":{"id":"doi:10.1145/130826.130833","is_oa":true,"landing_page_url":"https://doi.org/10.1145/130826.130833","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/130826.130833","source":{"id":"https://openalex.org/S185367456","display_name":"ACM Transactions on Graphics","issn_l":"0730-0301","issn":["0730-0301","1557-7368"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Graphics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://dl.acm.org/doi/pdf/10.1145/130826.130833","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5020310155","display_name":"Jon Rokne","orcid":"https://orcid.org/0000-0002-3439-2917"},"institutions":[{"id":"https://openalex.org/I168635309","display_name":"University of Calgary","ror":"https://ror.org/03yjb2x39","country_code":"CA","type":"education","lineage":["https://openalex.org/I168635309"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"J. Rokne","raw_affiliation_strings":["Univ. of Calgary, Calgary, Alta., Canada","University of Calgary, Calgary Alta., Canada"],"affiliations":[{"raw_affiliation_string":"Univ. of Calgary, Calgary, Alta., Canada","institution_ids":["https://openalex.org/I168635309"]},{"raw_affiliation_string":"University of Calgary, Calgary Alta., Canada","institution_ids":["https://openalex.org/I168635309"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5035167715","display_name":"Yuhan Rao","orcid":"https://orcid.org/0000-0001-6850-3403"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Y. Rao","raw_affiliation_strings":[""],"affiliations":[{"raw_affiliation_string":"","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5020310155"],"corresponding_institution_ids":["https://openalex.org/I168635309"],"apc_list":null,"apc_paid":null,"fwci":1.5369,"has_fulltext":true,"cited_by_count":14,"citation_normalized_percentile":{"value":0.82478724,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"11","issue":"2","first_page":"183","last_page":"192"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9876000285148621,"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/interpolation","display_name":"Interpolation (computer graphics)","score":0.7736612558364868},{"id":"https://openalex.org/keywords/linear-interpolation","display_name":"Linear interpolation","score":0.6954586505889893},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6532456874847412},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.549132764339447},{"id":"https://openalex.org/keywords/trilinear-interpolation","display_name":"Trilinear interpolation","score":0.5296387672424316},{"id":"https://openalex.org/keywords/stairstep-interpolation","display_name":"Stairstep interpolation","score":0.509121835231781},{"id":"https://openalex.org/keywords/bilinear-interpolation","display_name":"Bilinear interpolation","score":0.46299323439598083},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.450260728597641},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.37387025356292725},{"id":"https://openalex.org/keywords/spline-interpolation","display_name":"Spline interpolation","score":0.31537163257598877},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.21834790706634521},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.1815413534641266},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.17949292063713074},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.08190777897834778},{"id":"https://openalex.org/keywords/animation","display_name":"Animation","score":0.07318848371505737}],"concepts":[{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.7736612558364868},{"id":"https://openalex.org/C171836373","wikidata":"https://www.wikidata.org/wiki/Q2266329","display_name":"Linear interpolation","level":3,"score":0.6954586505889893},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6532456874847412},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.549132764339447},{"id":"https://openalex.org/C188325010","wikidata":"https://www.wikidata.org/wiki/Q861176","display_name":"Trilinear interpolation","level":4,"score":0.5296387672424316},{"id":"https://openalex.org/C119768884","wikidata":"https://www.wikidata.org/wiki/Q7597108","display_name":"Stairstep interpolation","level":4,"score":0.509121835231781},{"id":"https://openalex.org/C205203396","wikidata":"https://www.wikidata.org/wiki/Q612143","display_name":"Bilinear interpolation","level":2,"score":0.46299323439598083},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.450260728597641},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.37387025356292725},{"id":"https://openalex.org/C31447003","wikidata":"https://www.wikidata.org/wiki/Q545002","display_name":"Spline interpolation","level":3,"score":0.31537163257598877},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.21834790706634521},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.1815413534641266},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.17949292063713074},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.08190777897834778},{"id":"https://openalex.org/C502989409","wikidata":"https://www.wikidata.org/wiki/Q11425","display_name":"Animation","level":2,"score":0.07318848371505737}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/130826.130833","is_oa":true,"landing_page_url":"https://doi.org/10.1145/130826.130833","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/130826.130833","source":{"id":"https://openalex.org/S185367456","display_name":"ACM Transactions on Graphics","issn_l":"0730-0301","issn":["0730-0301","1557-7368"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Graphics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1145/130826.130833","is_oa":true,"landing_page_url":"https://doi.org/10.1145/130826.130833","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/130826.130833","source":{"id":"https://openalex.org/S185367456","display_name":"ACM Transactions on Graphics","issn_l":"0730-0301","issn":["0730-0301","1557-7368"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Graphics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2079235729.pdf","grobid_xml":"https://content.openalex.org/works/W2079235729.grobid-xml"},"referenced_works_count":10,"referenced_works":["https://openalex.org/W22905426","https://openalex.org/W1490482062","https://openalex.org/W1975470983","https://openalex.org/W1981834977","https://openalex.org/W1996618991","https://openalex.org/W2023334087","https://openalex.org/W2044842183","https://openalex.org/W2050744010","https://openalex.org/W2122585444","https://openalex.org/W2147410547"],"related_works":["https://openalex.org/W2382426030","https://openalex.org/W2036543038","https://openalex.org/W2075020252","https://openalex.org/W2071815454","https://openalex.org/W2355602298","https://openalex.org/W4303468906","https://openalex.org/W1479673685","https://openalex.org/W2018318601","https://openalex.org/W2119318777","https://openalex.org/W2366421106"],"abstract_inverted_index":{"A":[0],"two-step":[1],"incremental":[2],"linear":[3],"interpolation":[4],"algorithm":[5,15],"is":[6,11,16,20,25,33],"derived":[7],"and":[8,22],"analyzed.":[9],"It":[10],"shown":[12],"that":[13,18,23],"the":[14,36,39],"correct,":[17],"it":[19,24],"reversible,":[21],"faster":[26],"than":[27],"previous":[28],"single-step":[29],"algorithms.":[30],"An":[31],"example":[32],"given":[34],"of":[35,38],"execution":[37],"algorithm.":[40]},"counts_by_year":[{"year":2017,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}