{"id":"https://openalex.org/W4415125871","doi":"https://doi.org/10.1109/fuzz62266.2025.11197608","title":"An Improved Fuzzified Frankot and Chellappa Method for Surface Normal Integration","display_name":"An Improved Fuzzified Frankot and Chellappa Method for Surface Normal Integration","publication_year":2025,"publication_date":"2025-07-06","ids":{"openalex":"https://openalex.org/W4415125871","doi":"https://doi.org/10.1109/fuzz62266.2025.11197608"},"language":"en","primary_location":{"id":"doi:10.1109/fuzz62266.2025.11197608","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz62266.2025.11197608","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2025 IEEE International Conference on Fuzzy Systems (FUZZ)","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/A5086516872","display_name":"S. Hajighasemi","orcid":"https://orcid.org/0000-0002-1242-6936"},"institutions":[{"id":"https://openalex.org/I51783024","display_name":"Brandenburg University of Technology Cottbus-Senftenberg","ror":"https://ror.org/02wxx3e24","country_code":"DE","type":"education","lineage":["https://openalex.org/I51783024"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"S. Hajighasemi","raw_affiliation_strings":["Institute for Mathematics, Brandenburg Technical University Cottbus-Senftenberg,Cottbus,Germany"],"affiliations":[{"raw_affiliation_string":"Institute for Mathematics, Brandenburg Technical University Cottbus-Senftenberg,Cottbus,Germany","institution_ids":["https://openalex.org/I51783024"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5075931354","display_name":"Michael Breu\u00df","orcid":"https://orcid.org/0000-0002-5322-2411"},"institutions":[{"id":"https://openalex.org/I51783024","display_name":"Brandenburg University of Technology Cottbus-Senftenberg","ror":"https://ror.org/02wxx3e24","country_code":"DE","type":"education","lineage":["https://openalex.org/I51783024"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"M. Breu\u00df","raw_affiliation_strings":["Institute for Mathematics, Brandenburg Technical University Cottbus-Senftenberg,Cottbus,Germany"],"affiliations":[{"raw_affiliation_string":"Institute for Mathematics, Brandenburg Technical University Cottbus-Senftenberg,Cottbus,Germany","institution_ids":["https://openalex.org/I51783024"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5086516872"],"corresponding_institution_ids":["https://openalex.org/I51783024"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.32457358,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"6"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9937000274658203,"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":0.9937000274658203,"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/T11583","display_name":"Advanced Measurement and Metrology Techniques","score":0.9824000000953674,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical Engineering"},"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/T13965","display_name":"Laser and Thermal Forming Techniques","score":0.9010000228881836,"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/robustness","display_name":"Robustness (evolution)","score":0.6202999949455261},{"id":"https://openalex.org/keywords/defuzzification","display_name":"Defuzzification","score":0.5956000089645386},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5396000146865845},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.4587000012397766},{"id":"https://openalex.org/keywords/multiplicative-function","display_name":"Multiplicative function","score":0.42899999022483826},{"id":"https://openalex.org/keywords/normal","display_name":"Normal","score":0.42730000615119934},{"id":"https://openalex.org/keywords/fuzzy-control-system","display_name":"Fuzzy control system","score":0.39089998602867126}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6420000195503235},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.6202999949455261},{"id":"https://openalex.org/C170260401","wikidata":"https://www.wikidata.org/wiki/Q5251735","display_name":"Defuzzification","level":5,"score":0.5956000089645386},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5396000146865845},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.45989999175071716},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.4587000012397766},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.43689998984336853},{"id":"https://openalex.org/C42747912","wikidata":"https://www.wikidata.org/wiki/Q1048447","display_name":"Multiplicative function","level":2,"score":0.42899999022483826},{"id":"https://openalex.org/C118732077","wikidata":"https://www.wikidata.org/wiki/Q273176","display_name":"Normal","level":3,"score":0.42730000615119934},{"id":"https://openalex.org/C195975749","wikidata":"https://www.wikidata.org/wiki/Q1475705","display_name":"Fuzzy control system","level":3,"score":0.39089998602867126},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.3887999951839447},{"id":"https://openalex.org/C2781170535","wikidata":"https://www.wikidata.org/wiki/Q30587856","display_name":"Noisy data","level":2,"score":0.3711000084877014},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.33820000290870667},{"id":"https://openalex.org/C2780049643","wikidata":"https://www.wikidata.org/wiki/Q5511139","display_name":"Fuzzy rule","level":4,"score":0.3246999979019165},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3050999939441681},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.29510000348091125},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.27970001101493835},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.2531000077724457},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.2517000138759613}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/fuzz62266.2025.11197608","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz62266.2025.11197608","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2025 IEEE International Conference on Fuzzy Systems (FUZZ)","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":9,"referenced_works":["https://openalex.org/W2035305968","https://openalex.org/W2069069851","https://openalex.org/W2138127543","https://openalex.org/W2295230056","https://openalex.org/W2537104680","https://openalex.org/W2754836122","https://openalex.org/W2755753771","https://openalex.org/W2781630355","https://openalex.org/W2972572284"],"related_works":[],"abstract_inverted_index":{"We":[0],"present":[1],"an":[2,25],"enhanced":[3],"fuzzified":[4],"variant":[5],"of":[6],"the":[7,37,54],"classical":[8],"Frankot-Chellappa":[9],"algorithm":[10],"for":[11],"reconstructing":[12],"surfaces":[13],"from":[14],"normal":[15],"vector":[16],"fields":[17],"by":[18],"using":[19],"a":[20,62],"multiplicative":[21],"fuzzification":[22],"process":[23,40],"and":[24,34],"adaptive":[26,38],"defuzzification":[27,39],"strategy.":[28],"By":[29],"incorporating":[30],"local":[31],"spread":[32],"metrics":[33],"noise-level":[35],"estimation,":[36],"dynamically":[41],"adjusts":[42],"reconstruction":[43],"weights,":[44],"significantly":[45],"improving":[46],"robustness":[47],"to":[48,61],"noise.":[49],"Experimental":[50],"results":[51],"demonstrate":[52],"that":[53],"proposed":[55],"method":[56],"achieves":[57],"superior":[58],"accuracy":[59],"compared":[60],"previous":[63],"fuzzy":[64],"approach,":[65],"particularly":[66],"under":[67],"noisy":[68],"conditions.":[69]},"counts_by_year":[],"updated_date":"2026-03-07T16:01:11.037858","created_date":"2025-10-14T00:00:00"}