{"id":"https://openalex.org/W2150964914","doi":"https://doi.org/10.1109/gmag.2003.1219671","title":"Geometric design and space planning using the marching squares and marching cube algorithms","display_name":"Geometric design and space planning using the marching squares and marching cube algorithms","publication_year":2003,"publication_date":"2003-11-04","ids":{"openalex":"https://openalex.org/W2150964914","doi":"https://doi.org/10.1109/gmag.2003.1219671","mag":"2150964914"},"language":"en","primary_location":{"id":"doi:10.1109/gmag.2003.1219671","is_oa":false,"landing_page_url":"https://doi.org/10.1109/gmag.2003.1219671","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2003 International Conference on Geometric Modeling and Graphics, 2003. Proceedings","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/A5080175512","display_name":"Carsten Maple","orcid":"https://orcid.org/0000-0002-4715-212X"},"institutions":[{"id":"https://openalex.org/I147554453","display_name":"University of Bedfordshire","ror":"https://ror.org/0400avk24","country_code":"GB","type":"education","lineage":["https://openalex.org/I147554453"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"C. Maple","raw_affiliation_strings":["Department of Computing and Information Systems, University of Luton, UK"],"affiliations":[{"raw_affiliation_string":"Department of Computing and Information Systems, University of Luton, UK","institution_ids":["https://openalex.org/I147554453"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5080175512"],"corresponding_institution_ids":["https://openalex.org/I147554453"],"apc_list":null,"apc_paid":null,"fwci":1.3706,"has_fulltext":false,"cited_by_count":114,"citation_normalized_percentile":{"value":0.84128342,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"90","last_page":"95"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9990000128746033,"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"}},"topics":[{"id":"https://openalex.org/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9990000128746033,"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":0.9944999814033508,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9926000237464905,"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/marching-cubes","display_name":"Marching cubes","score":0.9758902192115784},{"id":"https://openalex.org/keywords/isosurface","display_name":"Isosurface","score":0.884647011756897},{"id":"https://openalex.org/keywords/fast-marching-method","display_name":"Fast marching method","score":0.7311875224113464},{"id":"https://openalex.org/keywords/cube","display_name":"Cube (algebra)","score":0.6953848600387573},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5508818030357361},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.5235633254051208},{"id":"https://openalex.org/keywords/volume","display_name":"Volume (thermodynamics)","score":0.52279132604599},{"id":"https://openalex.org/keywords/computational-geometry","display_name":"Computational geometry","score":0.5227351784706116},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5093637704849243},{"id":"https://openalex.org/keywords/moving-least-squares","display_name":"Moving least squares","score":0.4838758707046509},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.42697829008102417},{"id":"https://openalex.org/keywords/unit-cube","display_name":"Unit cube","score":0.42379286885261536},{"id":"https://openalex.org/keywords/object","display_name":"Object (grammar)","score":0.42013463377952576},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.34205174446105957},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2817046046257019},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.21046856045722961},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.139398992061615},{"id":"https://openalex.org/keywords/visualization","display_name":"Visualization","score":0.13832998275756836}],"concepts":[{"id":"https://openalex.org/C42087268","wikidata":"https://www.wikidata.org/wiki/Q1886184","display_name":"Marching cubes","level":3,"score":0.9758902192115784},{"id":"https://openalex.org/C45107383","wikidata":"https://www.wikidata.org/wiki/Q1311829","display_name":"Isosurface","level":3,"score":0.884647011756897},{"id":"https://openalex.org/C17866373","wikidata":"https://www.wikidata.org/wiki/Q5437042","display_name":"Fast marching method","level":2,"score":0.7311875224113464},{"id":"https://openalex.org/C53051483","wikidata":"https://www.wikidata.org/wiki/Q861555","display_name":"Cube (algebra)","level":2,"score":0.6953848600387573},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5508818030357361},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.5235633254051208},{"id":"https://openalex.org/C20556612","wikidata":"https://www.wikidata.org/wiki/Q4469374","display_name":"Volume (thermodynamics)","level":2,"score":0.52279132604599},{"id":"https://openalex.org/C29123130","wikidata":"https://www.wikidata.org/wiki/Q874709","display_name":"Computational geometry","level":2,"score":0.5227351784706116},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5093637704849243},{"id":"https://openalex.org/C2780580100","wikidata":"https://www.wikidata.org/wiki/Q6927143","display_name":"Moving least squares","level":2,"score":0.4838758707046509},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.42697829008102417},{"id":"https://openalex.org/C60432849","wikidata":"https://www.wikidata.org/wiki/Q2072112","display_name":"Unit cube","level":2,"score":0.42379286885261536},{"id":"https://openalex.org/C2781238097","wikidata":"https://www.wikidata.org/wiki/Q175026","display_name":"Object (grammar)","level":2,"score":0.42013463377952576},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.34205174446105957},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2817046046257019},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.21046856045722961},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.139398992061615},{"id":"https://openalex.org/C36464697","wikidata":"https://www.wikidata.org/wiki/Q451553","display_name":"Visualization","level":2,"score":0.13832998275756836},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/gmag.2003.1219671","is_oa":false,"landing_page_url":"https://doi.org/10.1109/gmag.2003.1219671","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2003 International Conference on Geometric Modeling and Graphics, 2003. Proceedings","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","score":0.8600000143051147,"display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1519694520","https://openalex.org/W1520127302","https://openalex.org/W1585861384","https://openalex.org/W2044483796","https://openalex.org/W2088362306","https://openalex.org/W2116715759","https://openalex.org/W2120372728","https://openalex.org/W2130179054","https://openalex.org/W2143101035","https://openalex.org/W2148067668","https://openalex.org/W2156686820","https://openalex.org/W2163053309","https://openalex.org/W2229412420","https://openalex.org/W2238725020","https://openalex.org/W4233857083","https://openalex.org/W6630864981","https://openalex.org/W6634945376"],"related_works":["https://openalex.org/W2170075902","https://openalex.org/W1997722708","https://openalex.org/W2460354888","https://openalex.org/W2349635189","https://openalex.org/W2103453704","https://openalex.org/W2388774194","https://openalex.org/W2051531491","https://openalex.org/W2392276843","https://openalex.org/W2150964914","https://openalex.org/W2144463529"],"abstract_inverted_index":{"In":[0],"the":[1,15,58,63,67,74,81,87,94,110],"paper":[2],"we":[3],"present":[4],"a":[5,52,84,97],"method":[6,54,68],"for":[7],"area":[8,59,75],"and":[9,21,27,33,83,96,105,114],"volume":[10,61,88],"approximation":[11,42],"using":[12,30],"modifications":[13],"to":[14,25,43,72],"marching":[16,31,34],"cubes":[17,35],"algorithm":[18,47],"of":[19,62,101,112],"Lorensen":[20],"Cline":[22],"(1987).":[23],"Approximations":[24],"two":[26,78],"three-dimensional":[28],"objects":[29],"squares":[32],"have":[36],"been":[37],"covered":[38],"extensively.":[39],"Given":[40],"an":[41,44,46],"object,":[45],"is":[48,100],"presented":[49],"which":[50],"allows":[51],"simple":[53],"that":[55],"can":[56,69],"approximate":[57],"or":[60,86,109],"object.":[64],"More":[65],"interestingly":[66],"be":[70],"used":[71],"estimate":[73],"encapsulated":[76,89],"between":[77,90],"points":[79,92],"on":[80,93],"surface":[82,95],"line":[85],"three":[91],"plane.":[98],"This":[99],"use":[102],"in":[103],"room":[104],"space":[106],"planning":[107],"operations":[108],"design":[111],"rooms":[113],"manufactured":[115],"products.":[116]},"counts_by_year":[{"year":2025,"cited_by_count":10},{"year":2024,"cited_by_count":11},{"year":2023,"cited_by_count":10},{"year":2022,"cited_by_count":10},{"year":2021,"cited_by_count":12},{"year":2020,"cited_by_count":14},{"year":2019,"cited_by_count":10},{"year":2018,"cited_by_count":7},{"year":2017,"cited_by_count":8},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
