{"id":"https://openalex.org/W2138706661","doi":"https://doi.org/10.1109/fskd.2009.591","title":"The Study of Interpolation Algorithm Based on Cubic Spline in Marching Cubes Method","display_name":"The Study of Interpolation Algorithm Based on Cubic Spline in Marching Cubes Method","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W2138706661","doi":"https://doi.org/10.1109/fskd.2009.591","mag":"2138706661"},"language":"en","primary_location":{"id":"doi:10.1109/fskd.2009.591","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fskd.2009.591","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 Sixth International Conference on Fuzzy Systems and Knowledge Discovery","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/A5073727134","display_name":"Huiyan Jiang","orcid":"https://orcid.org/0000-0002-1428-8776"},"institutions":[{"id":"https://openalex.org/I9224756","display_name":"Northeastern University","ror":"https://ror.org/03awzbc87","country_code":"CN","type":"education","lineage":["https://openalex.org/I9224756"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Huiyan Jiang","raw_affiliation_strings":["Software College, Northeastern University, Shenyang, China","Software College, Software College, Shenyang, China Country#TAB#"],"affiliations":[{"raw_affiliation_string":"Software College, Northeastern University, Shenyang, China","institution_ids":["https://openalex.org/I9224756"]},{"raw_affiliation_string":"Software College, Software College, Shenyang, China Country#TAB#","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101127537","display_name":"Yudong Zhao","orcid":null},"institutions":[{"id":"https://openalex.org/I9224756","display_name":"Northeastern University","ror":"https://ror.org/03awzbc87","country_code":"CN","type":"education","lineage":["https://openalex.org/I9224756"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yudong Zhao","raw_affiliation_strings":["Software College, Northeastern University, Shenyang, China","Software College, Software College, Shenyang, China Country#TAB#"],"affiliations":[{"raw_affiliation_string":"Software College, Northeastern University, Shenyang, China","institution_ids":["https://openalex.org/I9224756"]},{"raw_affiliation_string":"Software College, Software College, Shenyang, China Country#TAB#","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5073727134"],"corresponding_institution_ids":["https://openalex.org/I9224756"],"apc_list":null,"apc_paid":null,"fwci":0.3502,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.65941549,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"23","issue":null,"first_page":"80","last_page":"83"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9983000159263611,"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/T10719","display_name":"3D Shape Modeling and Analysis","score":0.989300012588501,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/isosurface","display_name":"Isosurface","score":0.8270835876464844},{"id":"https://openalex.org/keywords/marching-cubes","display_name":"Marching cubes","score":0.7537397146224976},{"id":"https://openalex.org/keywords/spline-interpolation","display_name":"Spline interpolation","score":0.7230230569839478},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6564769744873047},{"id":"https://openalex.org/keywords/bicubic-interpolation","display_name":"Bicubic interpolation","score":0.6436434388160706},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.6283167600631714},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.607522189617157},{"id":"https://openalex.org/keywords/correctness","display_name":"Correctness","score":0.5748546719551086},{"id":"https://openalex.org/keywords/stairstep-interpolation","display_name":"Stairstep interpolation","score":0.5578100085258484},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5054135322570801},{"id":"https://openalex.org/keywords/nearest-neighbor-interpolation","display_name":"Nearest-neighbor interpolation","score":0.4980027675628662},{"id":"https://openalex.org/keywords/spline","display_name":"Spline (mechanical)","score":0.47743186354637146},{"id":"https://openalex.org/keywords/smoothing-spline","display_name":"Smoothing spline","score":0.4623633027076721},{"id":"https://openalex.org/keywords/monotone-cubic-interpolation","display_name":"Monotone cubic interpolation","score":0.45179036259651184},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.35887932777404785},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.2341705560684204},{"id":"https://openalex.org/keywords/bilinear-interpolation","display_name":"Bilinear interpolation","score":0.21461716294288635},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.155921071767807},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.14525002241134644},{"id":"https://openalex.org/keywords/visualization","display_name":"Visualization","score":0.1389276385307312}],"concepts":[{"id":"https://openalex.org/C45107383","wikidata":"https://www.wikidata.org/wiki/Q1311829","display_name":"Isosurface","level":3,"score":0.8270835876464844},{"id":"https://openalex.org/C42087268","wikidata":"https://www.wikidata.org/wiki/Q1886184","display_name":"Marching cubes","level":3,"score":0.7537397146224976},{"id":"https://openalex.org/C31447003","wikidata":"https://www.wikidata.org/wiki/Q545002","display_name":"Spline interpolation","level":3,"score":0.7230230569839478},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6564769744873047},{"id":"https://openalex.org/C49608258","wikidata":"https://www.wikidata.org/wiki/Q611705","display_name":"Bicubic interpolation","level":4,"score":0.6436434388160706},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.6283167600631714},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.607522189617157},{"id":"https://openalex.org/C55439883","wikidata":"https://www.wikidata.org/wiki/Q360812","display_name":"Correctness","level":2,"score":0.5748546719551086},{"id":"https://openalex.org/C119768884","wikidata":"https://www.wikidata.org/wiki/Q7597108","display_name":"Stairstep interpolation","level":4,"score":0.5578100085258484},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5054135322570801},{"id":"https://openalex.org/C207214200","wikidata":"https://www.wikidata.org/wiki/Q4202129","display_name":"Nearest-neighbor interpolation","level":4,"score":0.4980027675628662},{"id":"https://openalex.org/C10390562","wikidata":"https://www.wikidata.org/wiki/Q581809","display_name":"Spline (mechanical)","level":2,"score":0.47743186354637146},{"id":"https://openalex.org/C107457265","wikidata":"https://www.wikidata.org/wiki/Q7546460","display_name":"Smoothing spline","level":4,"score":0.4623633027076721},{"id":"https://openalex.org/C64485984","wikidata":"https://www.wikidata.org/wiki/Q4044484","display_name":"Monotone cubic interpolation","level":5,"score":0.45179036259651184},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35887932777404785},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.2341705560684204},{"id":"https://openalex.org/C205203396","wikidata":"https://www.wikidata.org/wiki/Q612143","display_name":"Bilinear interpolation","level":2,"score":0.21461716294288635},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.155921071767807},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.14525002241134644},{"id":"https://openalex.org/C36464697","wikidata":"https://www.wikidata.org/wiki/Q451553","display_name":"Visualization","level":2,"score":0.1389276385307312},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"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},{"id":"https://openalex.org/C502989409","wikidata":"https://www.wikidata.org/wiki/Q11425","display_name":"Animation","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/fskd.2009.591","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fskd.2009.591","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 Sixth International Conference on Fuzzy Systems and Knowledge Discovery","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/W1980670965","https://openalex.org/W2130538955","https://openalex.org/W2140415400","https://openalex.org/W2380179988","https://openalex.org/W7019982662"],"related_works":["https://openalex.org/W2101711278","https://openalex.org/W4247826135","https://openalex.org/W2349635189","https://openalex.org/W1743932802","https://openalex.org/W3147868835","https://openalex.org/W2543975024","https://openalex.org/W2156038957","https://openalex.org/W2403598878","https://openalex.org/W3140377186","https://openalex.org/W2583818965"],"abstract_inverted_index":{"In":[0],"Marching":[1],"Cubes":[2],"(MC)":[3],"Method":[4],"the":[5,11,25,82,87,104],"construction":[6],"of":[7,45,89,99],"isosurface":[8],"usually":[9],"uses":[10],"tri-linear":[12],"interpolation":[13,51,80],"algorithm.":[14],"It":[15],"is":[16,30,39,54,60],"easy":[17,64],"to":[18,65,81],"understand":[19],"and":[20,32,48,57,92,102],"calculated":[21],"simply.":[22],"But":[23],"at":[24],"same":[26],"time":[27,91],"its":[28,58,90],"smoothness":[29],"bad,":[31],"has":[33,62],"no":[34],"high-order":[35],"convergence,":[36],"so":[37],"error":[38],"also":[40],"relatively":[41,55],"large.":[42],"With":[43],"developing":[44],"computer":[46],"software":[47],"hardware,":[49],"other":[50],"algorithm":[52],"which":[53,76],"complex":[56],"convergence":[59],"better":[61],"been":[63],"achieve":[66],"by":[67],"using":[68],"computer.":[69],"This":[70],"paper":[71],"proposes":[72],"one":[73],"new":[74],"method":[75],"introduces":[77],"cubic":[78],"spline":[79],"MC":[83],"method.":[84],"After":[85],"analyzing":[86],"cost":[88],"space":[93],"complexity,":[94],"we":[95],"give":[96],"several":[97],"sets":[98],"experimental":[100],"data,":[101],"verify":[103],"theoretical":[105],"correctness.":[106]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}