Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W1998248348', 'doi': 'https://doi.org/10.1007/bf01250530', 'title': 'On the flatness of digital hyperplanes', 'display_name': 'On the flatness of digital hyperplanes', 'publication_year': 1993, 'publication_date': '1993-06-01', 'ids': {'openalex': 'https://openalex.org/W1998248348', 'doi': 'https://doi.org/10.1007/bf01250530', 'mag': '1998248348'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1007/bf01250530', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S66221708', 'display_name': 'Journal of Mathematical Imaging and Vision', 'issn_l': '0924-9907', 'issn': ['0924-9907', '1573-7683'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310319900', 'host_organization_name': 'Springer Science+Business Media', 'host_organization_lineage': ['https://openalex.org/P4310319965', 'https://openalex.org/P4310319900'], 'host_organization_lineage_names': ['Springer Nature', 'Springer Science+Business Media'], '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/A5068050252', 'display_name': 'Peter Veelaert', 'orcid': 'https://orcid.org/0000-0003-4746-9087'}, 'institutions': [{'id': 'https://openalex.org/I32597200', 'display_name': 'Ghent University', 'ror': 'https://ror.org/00cv9y106', 'country_code': 'BE', 'type': 'education', 'lineage': ['https://openalex.org/I32597200']}], 'countries': ['BE'], 'is_corresponding': True, 'raw_author_name': 'Peter Veelaert', 'raw_affiliation_strings': ['Electronics Laboratory, University of Ghent, Ghent, Belgium'], 'affiliations': [{'raw_affiliation_string': 'Electronics Laboratory, University of Ghent, Ghent, Belgium', 'institution_ids': ['https://openalex.org/I32597200']}]}], 'countries_distinct_count': 1, 'institutions_distinct_count': 1, 'corresponding_author_ids': ['https://openalex.org/A5068050252'], 'corresponding_institution_ids': ['https://openalex.org/I32597200'], 'apc_list': {'value': 2190, 'currency': 'EUR', 'value_usd': 2780, 'provenance': 'doaj'}, 'apc_paid': None, 'fwci': 0.62, 'has_fulltext': True, 'fulltext_origin': 'ngrams', 'cited_by_count': 21, 'citation_normalized_percentile': {'value': 0.875975, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 85, 'max': 86}, 'biblio': {'volume': '3', 'issue': '2', 'first_page': '205', 'last_page': '221'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T12923', 'display_name': 'Connected Component Labeling Algorithms', 'score': 1.0, 'subfield': {'id': 'https://openalex.org/subfields/1707', 'display_name': 'Computer Vision and Pattern Recognition'}, '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/T12923', 'display_name': 'Connected Component Labeling Algorithms', 'score': 1.0, 'subfield': {'id': 'https://openalex.org/subfields/1707', 'display_name': 'Computer Vision and Pattern Recognition'}, '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/T10996', 'display_name': 'Mesh Generation Algorithms', 'score': 0.9985, '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/T11245', 'display_name': 'Isogeometric Analysis in Computational Engineering', 'score': 0.9874, '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/flatness', 'display_name': 'Flatness (cosmology)', 'score': 0.7802589}, {'id': 'https://openalex.org/keywords/hyperplane', 'display_name': 'Hyperplane', 'score': 0.7438853}, {'id': 'https://openalex.org/keywords/discrete-geometry', 'display_name': 'Discrete Geometry', 'score': 0.46826}, {'id': 'https://openalex.org/keywords/chord', 'display_name': 'Chord (peer-to-peer)', 'score': 0.4648271}], 'concepts': [{'id': 'https://openalex.org/C2778530986', 'wikidata': 'https://www.wikidata.org/wiki/Q5457948', 'display_name': 'Flatness (cosmology)', 'level': 3, 'score': 0.7802589}, {'id': 'https://openalex.org/C68693459', 'wikidata': 'https://www.wikidata.org/wiki/Q657586', 'display_name': 'Hyperplane', 'level': 2, 'score': 0.7438853}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.6803307}, {'id': 'https://openalex.org/C194147245', 'wikidata': 'https://www.wikidata.org/wiki/Q1076368', 'display_name': 'Chord (peer-to-peer)', 'level': 2, 'score': 0.4648271}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.4213614}, {'id': 'https://openalex.org/C118615104', 'wikidata': 'https://www.wikidata.org/wiki/Q121416', 'display_name': 'Discrete mathematics', 'level': 1, 'score': 0.41421837}, {'id': 'https://openalex.org/C184720557', 'wikidata': 'https://www.wikidata.org/wiki/Q7825049', 'display_name': 'Topology (electrical circuits)', 'level': 2, 'score': 0.40436757}, {'id': 'https://openalex.org/C114614502', 'wikidata': 'https://www.wikidata.org/wiki/Q76592', 'display_name': 'Combinatorics', 'level': 1, 'score': 0.24687827}, {'id': 'https://openalex.org/C41008148', 'wikidata': 'https://www.wikidata.org/wiki/Q21198', 'display_name': 'Computer science', 'level': 0, 'score': 0.24487492}, {'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/C120314980', 'wikidata': 'https://www.wikidata.org/wiki/Q180634', 'display_name': 'Distributed computing', '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/C26405456', 'wikidata': 'https://www.wikidata.org/wiki/Q338', 'display_name': 'Cosmology', 'level': 2, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1007/bf01250530', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S66221708', 'display_name': 'Journal of Mathematical Imaging and Vision', 'issn_l': '0924-9907', 'issn': ['0924-9907', '1573-7683'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310319900', 'host_organization_name': 'Springer Science+Business Media', 'host_organization_lineage': ['https://openalex.org/P4310319965', 'https://openalex.org/P4310319900'], 'host_organization_lineage_names': ['Springer Nature', 'Springer Science+Business Media'], 'type': 'journal'}, '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': 15, 'referenced_works': ['https://openalex.org/W1494436834', 'https://openalex.org/W1556257241', 'https://openalex.org/W1694128183', 'https://openalex.org/W1980073337', 'https://openalex.org/W1987709775', 'https://openalex.org/W2055719933', 'https://openalex.org/W2076597612', 'https://openalex.org/W2078956199', 'https://openalex.org/W2078996548', 'https://openalex.org/W2138705430', 'https://openalex.org/W2141539035', 'https://openalex.org/W2170802226', 'https://openalex.org/W3175367423', 'https://openalex.org/W4237336728', 'https://openalex.org/W4388288416'], 'related_works': ['https://openalex.org/W4376167435', 'https://openalex.org/W2369655046', 'https://openalex.org/W2088737283', 'https://openalex.org/W2042783797', 'https://openalex.org/W2019467317', 'https://openalex.org/W1999587863', 'https://openalex.org/W1965515989', 'https://openalex.org/W1929902734', 'https://openalex.org/W1640010985', 'https://openalex.org/W1585519779'], 'abstract_inverted_index': None, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W1998248348', 'counts_by_year': [{'year': 2012, 'cited_by_count': 1}], 'updated_date': '2024-08-15T05:08:28.068980', 'created_date': '2016-06-24'}