A fast polygon inflation algorithm to compute the area of feasible solutions for three‐component systems. I: concepts and applications

Name: Work Video:
Duration: 3 min 30 s
Mathias Sawall; Christoph Kubis; Detlef Selent; Armin Börner; Klaus Neymeyr
{'id': 'https://openalex.org/W1586356005', 'doi': 'https://doi.org/10.1002/cem.2498', 'title': 'A fast polygon inflation algorithm to compute the area of feasible solutions for three‐component systems. I: concepts and applications', 'display_name': 'A fast polygon inflation algorithm to compute the area of feasible solutions for three‐component systems. I: concepts and applications', 'publication_year': 2013, 'publication_date': '2013-04-19', 'ids': {'openalex': 'https://openalex.org/W1586356005', 'doi': 'https://doi.org/10.1002/cem.2498', 'mag': '1586356005'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1002/cem.2498', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S61773069', 'display_name': 'Journal of Chemometrics', 'issn_l': '0886-9383', 'issn': ['0886-9383', '1099-128X'], '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': 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/A5046985644', 'display_name': 'Mathias Sawall', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I4665924', 'display_name': 'University of Rostock', 'ror': 'https://ror.org/03zdwsf69', 'country_code': 'DE', 'type': 'education', 'lineage': ['https://openalex.org/I4665924']}], 'countries': ['DE'], 'is_corresponding': False, 'raw_author_name': 'Mathias Sawall', 'raw_affiliation_strings': ['Institut für Mathematik Universität Rostock  Ulmenstrasse 69 18057 Rostock Germany'], 'affiliations': [{'raw_affiliation_string': 'Institut für Mathematik Universität Rostock  Ulmenstrasse 69 18057 Rostock Germany', 'institution_ids': ['https://openalex.org/I4665924']}]}, {'author_position': 'middle', 'author': {'id': 'https://openalex.org/A5074046388', 'display_name': 'Christoph Kubis', 'orcid': 'https://orcid.org/0000-0001-9549-2455'}, 'institutions': [{'id': 'https://openalex.org/I4210114429', 'display_name': 'Leibniz Institute for Catalysis', 'ror': 'https://ror.org/029hg0311', 'country_code': 'DE', 'type': 'facility', 'lineage': ['https://openalex.org/I315704651', 'https://openalex.org/I4210114429']}], 'countries': ['DE'], 'is_corresponding': False, 'raw_author_name': 'Christoph Kubis', 'raw_affiliation_strings': ['Leibniz‐Institut für Katalyse Albert‐Einstein‐Strasse 29a  18059 Rostock Germany'], 'affiliations': [{'raw_affiliation_string': 'Leibniz‐Institut für Katalyse Albert‐Einstein‐Strasse 29a  18059 Rostock Germany', 'institution_ids': ['https://openalex.org/I4210114429']}]}, {'author_position': 'middle', 'author': {'id': 'https://openalex.org/A5090247956', 'display_name': 'Detlef Selent', 'orcid': 'https://orcid.org/0000-0003-2310-4964'}, 'institutions': [{'id': 'https://openalex.org/I4210114429', 'display_name': 'Leibniz Institute for Catalysis', 'ror': 'https://ror.org/029hg0311', 'country_code': 'DE', 'type': 'facility', 'lineage': ['https://openalex.org/I315704651', 'https://openalex.org/I4210114429']}], 'countries': ['DE'], 'is_corresponding': False, 'raw_author_name': 'Detlef Selent', 'raw_affiliation_strings': ['Leibniz‐Institut für Katalyse Albert‐Einstein‐Strasse 29a  18059 Rostock Germany'], 'affiliations': [{'raw_affiliation_string': 'Leibniz‐Institut für Katalyse Albert‐Einstein‐Strasse 29a  18059 Rostock Germany', 'institution_ids': ['https://openalex.org/I4210114429']}]}, {'author_position': 'middle', 'author': {'id': 'https://openalex.org/A5026992857', 'display_name': 'Armin Börner', 'orcid': 'https://orcid.org/0000-0002-0381-8639'}, 'institutions': [{'id': 'https://openalex.org/I4210114429', 'display_name': 'Leibniz Institute for Catalysis', 'ror': 'https://ror.org/029hg0311', 'country_code': 'DE', 'type': 'facility', 'lineage': ['https://openalex.org/I315704651', 'https://openalex.org/I4210114429']}], 'countries': ['DE'], 'is_corresponding': False, 'raw_author_name': 'Armin Börner', 'raw_affiliation_strings': ['Leibniz‐Institut für Katalyse Albert‐Einstein‐Strasse 29a  18059 Rostock Germany'], 'affiliations': [{'raw_affiliation_string': 'Leibniz‐Institut für Katalyse Albert‐Einstein‐Strasse 29a  18059 Rostock Germany', 'institution_ids': ['https://openalex.org/I4210114429']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5012778133', 'display_name': 'Klaus Neymeyr', 'orcid': 'https://orcid.org/0000-0002-1464-2851'}, 'institutions': [{'id': 'https://openalex.org/I4665924', 'display_name': 'University of Rostock', 'ror': 'https://ror.org/03zdwsf69', 'country_code': 'DE', 'type': 'education', 'lineage': ['https://openalex.org/I4665924']}], 'countries': ['DE'], 'is_corresponding': False, 'raw_author_name': 'Klaus Neymeyr', 'raw_affiliation_strings': ['Institut für Mathematik Universität Rostock  Ulmenstrasse 69 18057 Rostock Germany'], 'affiliations': [{'raw_affiliation_string': 'Institut für Mathematik Universität Rostock  Ulmenstrasse 69 18057 Rostock Germany', 'institution_ids': ['https://openalex.org/I4665924']}]}], 'institution_assertions': [], 'countries_distinct_count': 1, 'institutions_distinct_count': 2, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': {'value': 4530, 'currency': 'USD', 'value_usd': 4530, 'provenance': 'doaj'}, 'apc_paid': None, 'fwci': 7.09, 'has_fulltext': True, 'fulltext_origin': 'ngrams', 'cited_by_count': 75, 'citation_normalized_percentile': {'value': 0.999839, 'is_in_top_1_percent': True, 'is_in_top_10_percent': True}, 'cited_by_percentile_year': {'min': 97, 'max': 98}, 'biblio': {'volume': '27', 'issue': '5', 'first_page': '106', 'last_page': '116'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T10640', 'display_name': 'Spectroscopy and Chemometric Analyses', 'score': 0.9954, 'subfield': {'id': 'https://openalex.org/subfields/1602', 'display_name': 'Analytical Chemistry'}, 'field': {'id': 'https://openalex.org/fields/16', 'display_name': 'Chemistry'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, 'topics': [{'id': 'https://openalex.org/T10640', 'display_name': 'Spectroscopy and Chemometric Analyses', 'score': 0.9954, 'subfield': {'id': 'https://openalex.org/subfields/1602', 'display_name': 'Analytical Chemistry'}, 'field': {'id': 'https://openalex.org/fields/16', 'display_name': 'Chemistry'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, {'id': 'https://openalex.org/T10908', 'display_name': 'Analytical Chemistry and Chromatography', 'score': 0.9776, 'subfield': {'id': 'https://openalex.org/subfields/1607', 'display_name': 'Spectroscopy'}, 'field': {'id': 'https://openalex.org/fields/16', 'display_name': 'Chemistry'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, {'id': 'https://openalex.org/T10211', 'display_name': 'Computational Drug Discovery Methods', 'score': 0.9769, 'subfield': {'id': 'https://openalex.org/subfields/1703', 'display_name': 'Computational Theory and Mathematics'}, '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/polygon', 'display_name': 'Polygon (computer graphics)', 'score': 0.6440178}, {'id': 'https://openalex.org/keywords/component', 'display_name': 'Component (thermodynamics)', 'score': 0.61129516}], 'concepts': [{'id': 'https://openalex.org/C190694206', 'wikidata': 'https://www.wikidata.org/wiki/Q3276654', 'display_name': 'Polygon (computer graphics)', 'level': 3, 'score': 0.6440178}, {'id': 'https://openalex.org/C11413529', 'wikidata': 'https://www.wikidata.org/wiki/Q8366', 'display_name': 'Algorithm', 'level': 1, 'score': 0.6258107}, {'id': 'https://openalex.org/C168167062', 'wikidata': 'https://www.wikidata.org/wiki/Q1117970', 'display_name': 'Component (thermodynamics)', 'level': 2, 'score': 0.61129516}, {'id': 'https://openalex.org/C34388435', 'wikidata': 'https://www.wikidata.org/wiki/Q2267362', 'display_name': 'Bounded function', 'level': 2, 'score': 0.50987446}, {'id': 'https://openalex.org/C62354387', 'wikidata': 'https://www.wikidata.org/wiki/Q875399', 'display_name': 'Boundary (topology)', 'level': 2, 'score': 0.5043148}, {'id': 'https://openalex.org/C41008148', 'wikidata': 'https://www.wikidata.org/wiki/Q21198', 'display_name': 'Computer science', 'level': 0, 'score': 0.47889748}, {'id': 'https://openalex.org/C45374587', 'wikidata': 'https://www.wikidata.org/wiki/Q12525525', 'display_name': 'Computation', 'level': 2, 'score': 0.47659156}, {'id': 'https://openalex.org/C98045186', 'wikidata': 'https://www.wikidata.org/wiki/Q205663', 'display_name': 'Process (computing)', 'level': 2, 'score': 0.44304827}, {'id': 'https://openalex.org/C177264268', 'wikidata': 'https://www.wikidata.org/wiki/Q1514741', 'display_name': 'Set (abstract data type)', 'level': 2, 'score': 0.43956715}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.39648068}, {'id': 'https://openalex.org/C126255220', 'wikidata': 'https://www.wikidata.org/wiki/Q141495', 'display_name': 'Mathematical optimization', 'level': 1, 'score': 0.37039417}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.06996}, {'id': 'https://openalex.org/C76155785', 'wikidata': 'https://www.wikidata.org/wiki/Q418', 'display_name': 'Telecommunications', '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}, {'id': 'https://openalex.org/C126042441', 'wikidata': 'https://www.wikidata.org/wiki/Q1324888', 'display_name': 'Frame (networking)', 'level': 2, 'score': 0.0}, {'id': 'https://openalex.org/C97355855', 'wikidata': 'https://www.wikidata.org/wiki/Q11473', 'display_name': 'Thermodynamics', '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}, {'id': 'https://openalex.org/C111919701', 'wikidata': 'https://www.wikidata.org/wiki/Q9135', 'display_name': 'Operating system', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1002/cem.2498', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S61773069', 'display_name': 'Journal of Chemometrics', 'issn_l': '0886-9383', 'issn': ['0886-9383', '1099-128X'], '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': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}], 'best_oa_location': None, 'sustainable_development_goals': [{'score': 0.53, 'display_name': 'Decent work and economic growth', 'id': 'https://metadata.un.org/sdg/8'}], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 27, 'referenced_works': ['https://openalex.org/W1964967481', 'https://openalex.org/W1971035108', 'https://openalex.org/W1972326413', 'https://openalex.org/W1972984660', 'https://openalex.org/W1975526804', 'https://openalex.org/W1986224264', 'https://openalex.org/W1986585987', 'https://openalex.org/W1987578403', 'https://openalex.org/W1988365919', 'https://openalex.org/W2016913783', 'https://openalex.org/W2017288758', 'https://openalex.org/W2019044943', 'https://openalex.org/W2022119055', 'https://openalex.org/W2024205561', 'https://openalex.org/W2070037299', 'https://openalex.org/W2074196385', 'https://openalex.org/W2076566842', 'https://openalex.org/W2078975459', 'https://openalex.org/W2081884640', 'https://openalex.org/W2112997704', 'https://openalex.org/W2122480711', 'https://openalex.org/W2157851476', 'https://openalex.org/W2166197508', 'https://openalex.org/W2166626626', 'https://openalex.org/W217625038', 'https://openalex.org/W2327647676', 'https://openalex.org/W4298008390'], 'related_works': ['https://openalex.org/W3042074040', 'https://openalex.org/W3013085049', 'https://openalex.org/W2964287305', 'https://openalex.org/W2804118840', 'https://openalex.org/W2370332886', 'https://openalex.org/W2365486383', 'https://openalex.org/W2362059367', 'https://openalex.org/W2357256365', 'https://openalex.org/W2348502264', 'https://openalex.org/W1560496689'], 'abstract_inverted_index': {'The': [0, 11, 32, 44, 118, 132], 'multicomponent': [1, 147], 'factorization': [2], 'of': [3, 18, 28, 41, 47, 82, 95, 108, 134, 161], 'multivariate': [4], 'data': [5], 'often': [6], 'results': [7], 'in': [8, 90], 'nonunique': [9], 'solutions.': [10], 'so‐called': [12], 'rotational': [13], 'ambiguity': [14], 'paraphrases': [15], 'the': [16, 26, 48, 80, 96, 113, 116, 152, 157], 'existence': [17], 'multiple': [19], 'solutions': [20, 30], 'that': [21, 38, 76, 111], 'can': [22, 122], 'be': [23, 123], 'represented': [24], 'by': [25], 'area': [27], 'feasible': [29], '(AFS).': [31], 'AFS': [33, 49, 114], 'is': [34, 50, 57, 74, 77, 102, 137, 154], 'a': [35, 68, 91, 106, 140, 146], 'bounded': [36], 'set': [37], 'may': [39], 'consist': [40], 'isolated': [42], 'subsets.': [43], 'numerical': [45, 60], 'computation': [46], 'well': [51], 'understood': [52], 'for': [53, 62, 139], 'two‐component': [54], 'systems': [55, 126], 'and': [56, 71, 145, 164], 'an': [58, 86, 98], 'expensive': [59], 'process': [61], 'three‐component': [63], 'systems.': [64], 'In': [65], 'this': [66, 135], 'paper,': [67], 'new': [69], 'fast': [70], 'accurate': [72], 'algorithm': [73, 101, 121, 136], 'suggested': [75], 'based': [78], 'on': [79], 'inflation': [81, 120], 'polygons.': [83], 'Starting': [84], 'with': [85, 127, 156], 'initial': [87], 'triangle': [88], 'located': [89], 'topologically': [92], 'connected': [93], 'subset': [94], 'AFS,': [97], 'automatic': [99], 'extrusion': [100], 'used': [103], 'to': [104, 125], 'form': [105], 'sequence': [107], 'growing': [109], 'polygons': [110], 'approximate': [112], 'from': [115], 'interior.': [117], 'polygon': [119], 'generalized': [124], 'more': [128], 'than': [129], 'three': [130], 'components.': [131], 'efficiency': [133], 'demonstrated': [138], 'model': [141], 'problem': [142], 'including': [143], 'noise': [144], 'chemical': [148], 'reaction': [149], 'system.': [150], 'Further,': [151], 'method': [153], 'compared': [155], 'recent': [158], 'triangle‐boundary‐enclosing': [159], 'scheme': [160], 'Golshan,': [162], 'Abdollahi,': [163], 'Maeder': [165], '(Anal.': [166], 'Chem.': [167], '2011,': [168], '83,': [169], '836–841).': [170], 'Copyright': [171], '©': [172], '2013': [173], 'John': [174], 'Wiley': [175], '&amp;': [176], 'Sons,': [177], 'Ltd.': [178]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W1586356005', 'counts_by_year': [{'year': 2024, 'cited_by_count': 6}, {'year': 2023, 'cited_by_count': 5}, {'year': 2022, 'cited_by_count': 5}, {'year': 2021, 'cited_by_count': 5}, {'year': 2020, 'cited_by_count': 10}, {'year': 2019, 'cited_by_count': 10}, {'year': 2018, 'cited_by_count': 4}, {'year': 2017, 'cited_by_count': 4}, {'year': 2016, 'cited_by_count': 12}, {'year': 2015, 'cited_by_count': 8}, {'year': 2014, 'cited_by_count': 5}, {'year': 2013, 'cited_by_count': 1}], 'updated_date': '2025-01-09T10:38:39.454390', 'created_date': '2016-06-24'}
Publication Information

Basic Information

Access and Citation

AI Researcher Chatbot

Primary Location

Authors

Topics

Keywords

Related Works
