Publication Information

{'id': 'https://openalex.org/W3128178508', 'doi': 'https://doi.org/10.1115/1.4036558', 'title': 'Tolerance Analysis With Polytopes in HV-Description', 'display_name': 'Tolerance Analysis With Polytopes in HV-Description', 'publication_year': 2017, 'publication_date': '2017-04-26', 'ids': {'openalex': 'https://openalex.org/W3128178508', 'doi': 'https://doi.org/10.1115/1.4036558', 'mag': '3128178508'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1115/1.4036558', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S173178594', 'display_name': 'Journal of Computing and Information Science in Engineering', 'issn_l': '1530-9827', 'issn': ['1530-9827', '1944-7078'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310316053', 'host_organization_name': 'ASM International', 'host_organization_lineage': ['https://openalex.org/P4310316053'], 'host_organization_lineage_names': ['ASM International'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': ['crossref'], 'open_access': {'is_oa': False, 'oa_status': 'closed', 'oa_url': None, 'any_repository_has_fulltext': False}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5090687576', 'display_name': 'Santiago Arroyave-Tobón', 'orcid': 'https://orcid.org/0000-0002-6704-0977'}, 'institutions': [{'id': 'https://openalex.org/I4210160189', 'display_name': 'Institut Polytechnique de Bordeaux', 'ror': 'https://ror.org/054qv7y42', 'country_code': 'FR', 'type': 'education', 'lineage': ['https://openalex.org/I4210160189']}, {'id': 'https://openalex.org/I15057530', 'display_name': 'Université de Bordeaux', 'ror': 'https://ror.org/057qpr032', 'country_code': 'FR', 'type': 'education', 'lineage': ['https://openalex.org/I15057530']}], 'countries': ['FR'], 'is_corresponding': False, 'raw_author_name': 'Santiago Arroyave-Tobón', 'raw_affiliation_strings': ['I2M Laboratory, UMR 5295, University of Bordeaux, Talence F-33400, France e-mail:'], 'affiliations': [{'raw_affiliation_string': 'I2M Laboratory, UMR 5295, University of Bordeaux, Talence F-33400, France e-mail:', 'institution_ids': ['https://openalex.org/I4210160189', 'https://openalex.org/I15057530']}]}, {'author_position': 'middle', 'author': {'id': 'https://openalex.org/A5039527365', 'display_name': 'Denis Teissandier', 'orcid': 'https://orcid.org/0000-0001-6321-7408'}, 'institutions': [{'id': 'https://openalex.org/I4210160189', 'display_name': 'Institut Polytechnique de Bordeaux', 'ror': 'https://ror.org/054qv7y42', 'country_code': 'FR', 'type': 'education', 'lineage': ['https://openalex.org/I4210160189']}, {'id': 'https://openalex.org/I15057530', 'display_name': 'Université de Bordeaux', 'ror': 'https://ror.org/057qpr032', 'country_code': 'FR', 'type': 'education', 'lineage': ['https://openalex.org/I15057530']}], 'countries': ['FR'], 'is_corresponding': False, 'raw_author_name': 'Denis Teissandier', 'raw_affiliation_strings': ['Professor I2M Laboratory, UMR 5295, University of Bordeaux, Talence F-33400, France e-mail:'], 'affiliations': [{'raw_affiliation_string': 'Professor I2M Laboratory, UMR 5295, University of Bordeaux, Talence F-33400, France e-mail:', 'institution_ids': ['https://openalex.org/I4210160189', 'https://openalex.org/I15057530']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5015863960', 'display_name': 'Vincent Delos', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I4210160189', 'display_name': 'Institut Polytechnique de Bordeaux', 'ror': 'https://ror.org/054qv7y42', 'country_code': 'FR', 'type': 'education', 'lineage': ['https://openalex.org/I4210160189']}, {'id': 'https://openalex.org/I1294671590', 'display_name': 'Centre National de la Recherche Scientifique', 'ror': 'https://ror.org/02feahw73', 'country_code': 'FR', 'type': 'government', 'lineage': ['https://openalex.org/I1294671590']}], 'countries': ['FR'], 'is_corresponding': False, 'raw_author_name': 'Vincent Delos', 'raw_affiliation_strings': ['CNRS, I2M Laboratory, UMR 5295, Talence F-33400, France e-mail:'], 'affiliations': [{'raw_affiliation_string': 'CNRS, I2M Laboratory, UMR 5295, Talence F-33400, France e-mail:', 'institution_ids': ['https://openalex.org/I4210160189', 'https://openalex.org/I1294671590']}]}], 'institution_assertions': [], 'countries_distinct_count': 1, 'institutions_distinct_count': 3, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': 4.551, 'has_fulltext': True, 'fulltext_origin': 'ngrams', 'cited_by_count': 22, 'citation_normalized_percentile': {'value': 0.92986, 'is_in_top_1_percent': False, 'is_in_top_10_percent': True}, 'cited_by_percentile_year': {'min': 91, 'max': 92}, 'biblio': {'volume': '17', 'issue': '4', 'first_page': None, 'last_page': None}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T11159', 'display_name': 'Manufacturing Process and Optimization', 'score': 0.9999, 'subfield': {'id': 'https://openalex.org/subfields/2209', 'display_name': 'Industrial and Manufacturing Engineering'}, '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/T11159', 'display_name': 'Manufacturing Process and Optimization', 'score': 0.9999, 'subfield': {'id': 'https://openalex.org/subfields/2209', 'display_name': 'Industrial and Manufacturing 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/T12176', 'display_name': 'Optimization and Packing Problems', 'score': 0.9869, 'subfield': {'id': 'https://openalex.org/subfields/2209', 'display_name': 'Industrial and Manufacturing 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/T11245', 'display_name': 'Advanced Numerical Analysis Techniques', 'score': 0.9817, '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/minkowski-addition', 'display_name': 'Minkowski addition', 'score': 0.8947678}, {'id': 'https://openalex.org/keywords/polytope-model', 'display_name': 'Polytope model', 'score': 0.7235461}, {'id': 'https://openalex.org/keywords/truncation', 'display_name': 'Truncation (statistics)', 'score': 0.5963886}, {'id': 'https://openalex.org/keywords/duality', 'display_name': 'Duality (order theory)', 'score': 0.5189533}, {'id': 'https://openalex.org/keywords/minkowskis-theorem', 'display_name': "Minkowski's theorem", 'score': 0.4986062}], 'concepts': [{'id': 'https://openalex.org/C145691206', 'wikidata': 'https://www.wikidata.org/wiki/Q747980', 'display_name': 'Polytope', 'level': 2, 'score': 0.96010816}, {'id': 'https://openalex.org/C10233890', 'wikidata': 'https://www.wikidata.org/wiki/Q1322294', 'display_name': 'Minkowski addition', 'level': 3, 'score': 0.8947678}, {'id': 'https://openalex.org/C79464548', 'wikidata': 'https://www.wikidata.org/wiki/Q464794', 'display_name': 'Minkowski space', 'level': 2, 'score': 0.7786245}, {'id': 'https://openalex.org/C113391598', 'wikidata': 'https://www.wikidata.org/wiki/Q1681391', 'display_name': 'Polytope model', 'level': 3, 'score': 0.7235461}, {'id': 'https://openalex.org/C106195933', 'wikidata': 'https://www.wikidata.org/wiki/Q7847935', 'display_name': 'Truncation (statistics)', 'level': 2, 'score': 0.5963886}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.5625525}, {'id': 'https://openalex.org/C2778023678', 'wikidata': 'https://www.wikidata.org/wiki/Q554403', 'display_name': 'Duality (order theory)', 'level': 2, 'score': 0.5189533}, {'id': 'https://openalex.org/C79013991', 'wikidata': 'https://www.wikidata.org/wiki/Q1097021', 'display_name': "Minkowski's theorem", 'level': 3, 'score': 0.4986062}, {'id': 'https://openalex.org/C177264268', 'wikidata': 'https://www.wikidata.org/wiki/Q1514741', 'display_name': 'Set (abstract data type)', 'level': 2, 'score': 0.47817117}, {'id': 'https://openalex.org/C114614502', 'wikidata': 'https://www.wikidata.org/wiki/Q76592', 'display_name': 'Combinatorics', 'level': 1, 'score': 0.46866477}, {'id': 'https://openalex.org/C189950617', 'wikidata': 'https://www.wikidata.org/wiki/Q937228', 'display_name': 'Property (philosophy)', 'level': 2, 'score': 0.46585092}, {'id': 'https://openalex.org/C11413529', 'wikidata': 'https://www.wikidata.org/wiki/Q8366', 'display_name': 'Algorithm', 'level': 1, 'score': 0.3675602}, {'id': 'https://openalex.org/C41008148', 'wikidata': 'https://www.wikidata.org/wiki/Q21198', 'display_name': 'Computer science', 'level': 0, 'score': 0.34857172}, {'id': 'https://openalex.org/C118615104', 'wikidata': 'https://www.wikidata.org/wiki/Q121416', 'display_name': 'Discrete mathematics', 'level': 1, 'score': 0.32904065}, {'id': 'https://openalex.org/C2524010', 'wikidata': 'https://www.wikidata.org/wiki/Q8087', 'display_name': 'Geometry', 'level': 1, 'score': 0.17685077}, {'id': 'https://openalex.org/C138885662', 'wikidata': 'https://www.wikidata.org/wiki/Q5891', 'display_name': 'Philosophy', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C105795698', 'wikidata': 'https://www.wikidata.org/wiki/Q12483', 'display_name': 'Statistics', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C111472728', 'wikidata': 'https://www.wikidata.org/wiki/Q9471', 'display_name': 'Epistemology', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C199360897', 'wikidata': 'https://www.wikidata.org/wiki/Q9143', 'display_name': 'Programming language', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 5, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1115/1.4036558', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S173178594', 'display_name': 'Journal of Computing and Information Science in Engineering', 'issn_l': '1530-9827', 'issn': ['1530-9827', '1944-7078'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310316053', 'host_organization_name': 'ASM International', 'host_organization_lineage': ['https://openalex.org/P4310316053'], 'host_organization_lineage_names': ['ASM International'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, {'is_oa': False, 'landing_page_url': 'https://hal.archives-ouvertes.fr/hal-01518530', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4306402512', 'display_name': 'HAL (Le Centre pour la Communication Scientifique Directe)', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I1294671590', 'host_organization_name': 'Centre National de la Recherche Scientifique', 'host_organization_lineage': ['https://openalex.org/I1294671590'], 'host_organization_lineage_names': ['Centre National de la Recherche Scientifique'], 'type': 'repository'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, {'is_oa': False, 'landing_page_url': 'https://hal.archives-ouvertes.fr/hal-01373761', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4306402512', 'display_name': 'HAL (Le Centre pour la Communication Scientifique Directe)', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I1294671590', 'host_organization_name': 'Centre National de la Recherche Scientifique', 'host_organization_lineage': ['https://openalex.org/I1294671590'], 'host_organization_lineage_names': ['Centre National de la Recherche Scientifique'], 'type': 'repository'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, {'is_oa': False, 'landing_page_url': 'https://hal.science/hal-01373761', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4306402512', 'display_name': 'HAL (Le Centre pour la Communication Scientifique Directe)', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I1294671590', 'host_organization_name': 'Centre National de la Recherche Scientifique', 'host_organization_lineage': ['https://openalex.org/I1294671590'], 'host_organization_lineage_names': ['Centre National de la Recherche Scientifique'], 'type': 'repository'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, {'is_oa': False, 'landing_page_url': 'https://hal.science/hal-01518530', 'pdf_url': None, 'source': None, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}], 'best_oa_location': None, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 19, 'referenced_works': ['https://openalex.org/W1597196612', 'https://openalex.org/W164549153', 'https://openalex.org/W1869158764', 'https://openalex.org/W1904420200', 'https://openalex.org/W1932634740', 'https://openalex.org/W1970256171', 'https://openalex.org/W1986587962', 'https://openalex.org/W1988078834', 'https://openalex.org/W2029698684', 'https://openalex.org/W2059490713', 'https://openalex.org/W2078292809', 'https://openalex.org/W2078380266', 'https://openalex.org/W2083477374', 'https://openalex.org/W2102022978', 'https://openalex.org/W2186729226', 'https://openalex.org/W2627087206', 'https://openalex.org/W291942727', 'https://openalex.org/W2962710660', 'https://openalex.org/W3124338670'], 'related_works': ['https://openalex.org/W960999769', 'https://openalex.org/W4298286501', 'https://openalex.org/W4288417334', 'https://openalex.org/W4211088175', 'https://openalex.org/W3128178508', 'https://openalex.org/W3037418146', 'https://openalex.org/W2962710660', 'https://openalex.org/W2560815480', 'https://openalex.org/W2252967358', 'https://openalex.org/W2078958623'], 'abstract_inverted_index': {'This': [0], 'article': [1], 'proposes': [2, 50], 'the': [3, 30, 33, 36, 56, 78, 94, 110, 114, 122, 131], 'use': [4, 92], 'of': [5, 21, 32, 35, 58, 70, 77, 93, 97, 125], 'polytopes': [6, 37, 59, 71], 'in': [7, 60, 109], 'HV-description': [8], 'to': [9, 54], 'solve': [10], 'tolerance': [11, 123], 'analysis': [12, 124], 'problems.': [13], 'Polytopes': [14], 'are': [15], 'defined': [16], 'by': [17, 75, 121], 'a': [18, 51, 100, 126], 'finite': [19], 'set': [20], 'half-spaces': [22, 108], 'representing': [23], 'geometric,': [24], 'contact,': [25], 'or': [26], 'functional': [27], 'specifications.': [28], 'However,': [29], 'list': [31], 'vertices': [34], 'is': [38, 66, 119], 'useful': [39], 'for': [40], 'computing': [41], 'other': [42], 'operations': [43], 'as': [44, 83], 'Minkowski': [45, 81, 101], 'sums.': [46], 'Then,': [47], 'this': [48, 89], 'paper': [49], 'truncation': [52, 79], 'algorithm': [53, 90], 'obtain': [55], 'V-description': [57], 'ℝn': [61], 'from': [62], 'its': [63], 'H-description.': [64], 'It': [65], 'detailed': [67], 'how': [68], 'intersections': [69], 'can': [72, 85, 103], 'be': [73, 86, 104], 'calculated': [74, 105], 'means': [76], 'algorithm.': [80], 'sums': [82], 'well': [84], 'computed': [87], 'using': [88, 130], 'making': [91], 'duality': [95], 'property': [96], 'polytopes.': [98], 'Therefore,': [99], 'sum': [102], 'intersecting': [106], 'some': [107], 'dual': [111], 'space.': [112], 'Finally,': [113], 'approach': [115], 'based': [116], 'on': [117], 'HV-polytopes': [118], 'illustrated': [120], 'real': [127], 'industrial': [128], 'case': [129], 'open': [132], 'source': [133], 'software': [134], 'politocat': [135], 'and': [136], 'politopix.': [137]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W3128178508', 'counts_by_year': [{'year': 2024, 'cited_by_count': 2}, {'year': 2023, 'cited_by_count': 1}, {'year': 2022, 'cited_by_count': 3}, {'year': 2020, 'cited_by_count': 6}, {'year': 2019, 'cited_by_count': 2}, {'year': 2018, 'cited_by_count': 7}, {'year': 2017, 'cited_by_count': 1}], 'updated_date': '2024-12-11T07:31:04.775918', 'created_date': '2021-02-15'}