{"id":"https://openalex.org/W2805514242","doi":"https://doi.org/10.1111/cgf.13375","title":"Fast Catmull\u2010Rom Spline Interpolation for High\u2010Quality Texture Sampling","display_name":"Fast Catmull\u2010Rom Spline Interpolation for High\u2010Quality Texture Sampling","publication_year":2018,"publication_date":"2018-05-01","ids":{"openalex":"https://openalex.org/W2805514242","doi":"https://doi.org/10.1111/cgf.13375","mag":"2805514242"},"language":"en","primary_location":{"id":"doi:10.1111/cgf.13375","is_oa":false,"landing_page_url":"https://doi.org/10.1111/cgf.13375","pdf_url":null,"source":{"id":"https://openalex.org/S67831204","display_name":"Computer Graphics Forum","issn_l":"0167-7055","issn":["0167-7055","1467-8659"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computer Graphics Forum","raw_type":"journal-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/A5058051881","display_name":"Bal\u00e1zs Cs\u00e9bfalvi","orcid":"https://orcid.org/0000-0003-4843-226X"},"institutions":[{"id":"https://openalex.org/I29770179","display_name":"Budapest University of Technology and Economics","ror":"https://ror.org/02w42ss30","country_code":"HU","type":"education","lineage":["https://openalex.org/I29770179"]}],"countries":["HU"],"is_corresponding":true,"raw_author_name":"Bal\u00e1zs Cs\u00e9bfalvi","raw_affiliation_strings":["Budapest University of Technology and Economics Hungary","Budapest University of Technology and Economics, Hungary"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Budapest University of Technology and Economics Hungary","institution_ids":["https://openalex.org/I29770179"]},{"raw_affiliation_string":"Budapest University of Technology and Economics, Hungary","institution_ids":["https://openalex.org/I29770179"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5058051881"],"corresponding_institution_ids":["https://openalex.org/I29770179"],"apc_list":{"value":3710,"currency":"USD","value_usd":3710},"apc_paid":null,"fwci":0.106,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.43468641,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"37","issue":"2","first_page":"455","last_page":"462"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11105","display_name":"Advanced Image Processing Techniques","score":0.9983999729156494,"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/T11105","display_name":"Advanced Image Processing Techniques","score":0.9983999729156494,"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/T10775","display_name":"Generative Adversarial Networks and Image Synthesis","score":0.9983000159263611,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9980000257492065,"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/cubic-hermite-spline","display_name":"Cubic Hermite spline","score":0.8213616609573364},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6567455530166626},{"id":"https://openalex.org/keywords/spline-interpolation","display_name":"Spline interpolation","score":0.5758843421936035},{"id":"https://openalex.org/keywords/spline","display_name":"Spline (mechanical)","score":0.5683058500289917},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.5379920601844788},{"id":"https://openalex.org/keywords/texture-filtering","display_name":"Texture filtering","score":0.5365462303161621},{"id":"https://openalex.org/keywords/texture-mapping","display_name":"Texture mapping","score":0.4525938034057617},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.4519979953765869},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4457218050956726},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4378643333911896},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.43243855237960815},{"id":"https://openalex.org/keywords/texture","display_name":"Texture (cosmology)","score":0.4279616177082062},{"id":"https://openalex.org/keywords/polyharmonic-spline","display_name":"Polyharmonic spline","score":0.4208371341228485},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.38667774200439453},{"id":"https://openalex.org/keywords/smoothing-spline","display_name":"Smoothing spline","score":0.38603562116622925},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.33604925870895386},{"id":"https://openalex.org/keywords/image-texture","display_name":"Image texture","score":0.21898990869522095},{"id":"https://openalex.org/keywords/image-processing","display_name":"Image processing","score":0.15645623207092285},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.14622506499290466},{"id":"https://openalex.org/keywords/bilinear-interpolation","display_name":"Bilinear interpolation","score":0.1428302526473999},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.08505290746688843}],"concepts":[{"id":"https://openalex.org/C84607441","wikidata":"https://www.wikidata.org/wiki/Q1537263","display_name":"Cubic Hermite spline","level":5,"score":0.8213616609573364},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6567455530166626},{"id":"https://openalex.org/C31447003","wikidata":"https://www.wikidata.org/wiki/Q545002","display_name":"Spline interpolation","level":3,"score":0.5758843421936035},{"id":"https://openalex.org/C10390562","wikidata":"https://www.wikidata.org/wiki/Q581809","display_name":"Spline (mechanical)","level":2,"score":0.5683058500289917},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.5379920601844788},{"id":"https://openalex.org/C144743038","wikidata":"https://www.wikidata.org/wiki/Q3267765","display_name":"Texture filtering","level":5,"score":0.5365462303161621},{"id":"https://openalex.org/C200585589","wikidata":"https://www.wikidata.org/wiki/Q752176","display_name":"Texture mapping","level":2,"score":0.4525938034057617},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.4519979953765869},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4457218050956726},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4378643333911896},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.43243855237960815},{"id":"https://openalex.org/C2781195486","wikidata":"https://www.wikidata.org/wiki/Q289436","display_name":"Texture (cosmology)","level":3,"score":0.4279616177082062},{"id":"https://openalex.org/C120742014","wikidata":"https://www.wikidata.org/wiki/Q7226491","display_name":"Polyharmonic spline","level":5,"score":0.4208371341228485},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.38667774200439453},{"id":"https://openalex.org/C107457265","wikidata":"https://www.wikidata.org/wiki/Q7546460","display_name":"Smoothing spline","level":4,"score":0.38603562116622925},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33604925870895386},{"id":"https://openalex.org/C63099799","wikidata":"https://www.wikidata.org/wiki/Q17147001","display_name":"Image texture","level":4,"score":0.21898990869522095},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.15645623207092285},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.14622506499290466},{"id":"https://openalex.org/C205203396","wikidata":"https://www.wikidata.org/wiki/Q612143","display_name":"Bilinear interpolation","level":2,"score":0.1428302526473999},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.08505290746688843},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1111/cgf.13375","is_oa":false,"landing_page_url":"https://doi.org/10.1111/cgf.13375","pdf_url":null,"source":{"id":"https://openalex.org/S67831204","display_name":"Computer Graphics Forum","issn_l":"0167-7055","issn":["0167-7055","1467-8659"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computer Graphics Forum","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1483681246","https://openalex.org/W1940162557","https://openalex.org/W1971071758","https://openalex.org/W1987278426","https://openalex.org/W1994628498","https://openalex.org/W2065628492","https://openalex.org/W2071842380","https://openalex.org/W2110057212","https://openalex.org/W2110251143","https://openalex.org/W2156241772","https://openalex.org/W2157494358","https://openalex.org/W2158842967","https://openalex.org/W2170509487","https://openalex.org/W2279753966","https://openalex.org/W2479754319","https://openalex.org/W4240195675","https://openalex.org/W4256596898"],"related_works":["https://openalex.org/W2117487173","https://openalex.org/W2510730013","https://openalex.org/W2037532746","https://openalex.org/W2106020793","https://openalex.org/W2102842245","https://openalex.org/W4307168714","https://openalex.org/W2380799314","https://openalex.org/W1975728046","https://openalex.org/W2154654948","https://openalex.org/W2024981758"],"abstract_inverted_index":{"Abstract":[0],"It":[1],"is":[2,71],"well":[3],"known":[4],"that":[5,70],"cubic":[6],"texture":[7,38,104],"filtering":[8],"can":[9,87],"be":[10,44,89],"efficiently":[11],"implemented":[12],"on":[13],"the":[14,30,48,56,76,83],"GPU":[15],"by":[16,21,97],"using":[17,80],"a":[18,33,67],"method":[19,42],"published":[20],"Sigg":[22],"and":[23,94,101],"Hadwiger":[24],"[":[25],"SH05":[26],"],":[27],"which":[28],"simplifies":[29],"evaluation":[31],"to":[32,73],"linear":[34,37,103],"combination":[35],"of":[36],"fetches.":[39],"However,":[40],"their":[41],"cannot":[43],"directly":[45],"applied":[46],"if":[47],"filter":[49],"kernel":[50],"takes":[51],"also":[52,75,88],"negative":[53,77],"values":[54],"like":[55],"popular":[57],"Catmull\u2010Rom":[58,84],"spline,":[59],"for":[60],"example.":[61],"In":[62],"this":[63],"paper,":[64],"we":[65],"propose":[66],"modified":[68],"algorithm":[69],"able":[72],"handle":[74],"weights.":[78],"Therefore,":[79],"our":[81],"method,":[82],"spline":[85],"interpolation":[86],"evaluated":[90],"in":[91],"one,":[92],"two,":[93,99],"three":[95],"dimensions":[96],"taking":[98],"four,":[100],"eight":[102],"fetches,":[105],"respectively.":[106]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2019,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}