Modification of the Marching Cubes Algorithm to Obtain a 3D Representation of a Planar Image Article Swipe
Delia Irazú Hernández-Farías
,
Rafael Guzmán-Cabrera
,
Teodoro Córdova‐Fraga
,
José Zacarías Huamaní Luna
,
J. F. Gómez‐Aguilar
·
YOU?
·
· 2020
· Open Access
·
· DOI: https://doi.org/10.15514/ispras-2020-32(5)-13
YOU?
·
· 2020
· Open Access
·
· DOI: https://doi.org/10.15514/ispras-2020-32(5)-13
The registration of a 3D model over an image can be seen as the alignment of visual correspondences extracted from these two data. This is a challenging task and it is even more complex when the two images have a different modality. This paper introduces an approach that allows matching features detected in two different modalities: photographs and 3D models, by using a common 2D representation. Our approach is based on a modifcation of the Marching Cubes algorithm aiming to remove ambiguous cases without adding further calculations in each cube. We share the idea about the crucial importance of splitting the equivalence cases into two classes. Considering all the possible states inside/outside in the four corners of a cube side, indeed, there are only four non-trivial cases after eliminating those equivalences through the rotation. The obtained results allow us to validate the feasibility of the proposed methodology.
Related Topics
Concepts
Marching cubes
Cube (algebra)
Representation (politics)
Computer science
Rotation (mathematics)
Matching (statistics)
Image (mathematics)
Equivalence (formal languages)
Artificial intelligence
Algorithm
Planar
Computer vision
Mathematics
Visualization
Computer graphics (images)
Combinatorics
Discrete mathematics
Politics
Law
Political science
Statistics
Metadata
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.15514/ispras-2020-32(5)-13
- https://ispranproceedings.elpub.ru/jour/article/download/1356/1142
- OA Status
- diamond
- References
- 21
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W3111209080
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
-
https://openalex.org/W3111209080Canonical identifier for this work in OpenAlex
- DOI
-
https://doi.org/10.15514/ispras-2020-32(5)-13Digital Object Identifier
- Title
-
Modification of the Marching Cubes Algorithm to Obtain a 3D Representation of a Planar ImageWork title
- Type
-
articleOpenAlex work type
- Language
-
enPrimary language
- Publication year
-
2020Year of publication
- Publication date
-
2020-01-01Full publication date if available
- Authors
-
Delia Irazú Hernández-Farías, Rafael Guzmán-Cabrera, Teodoro Córdova‐Fraga, José Zacarías Huamaní Luna, J. F. Gómez‐AguilarList of authors in order
- Landing page
-
https://doi.org/10.15514/ispras-2020-32(5)-13Publisher landing page
- PDF URL
-
https://ispranproceedings.elpub.ru/jour/article/download/1356/1142Direct link to full text PDF
- Open access
-
YesWhether a free full text is available
- OA status
-
diamondOpen access status per OpenAlex
- OA URL
-
https://ispranproceedings.elpub.ru/jour/article/download/1356/1142Direct OA link when available
- Concepts
-
Marching cubes, Cube (algebra), Representation (politics), Computer science, Rotation (mathematics), Matching (statistics), Image (mathematics), Equivalence (formal languages), Artificial intelligence, Algorithm, Planar, Computer vision, Mathematics, Visualization, Computer graphics (images), Combinatorics, Discrete mathematics, Politics, Law, Political science, StatisticsTop concepts (fields/topics) attached by OpenAlex
- Cited by
-
0Total citation count in OpenAlex
- References (count)
-
21Number of works referenced by this work
- Related works (count)
-
10Other works algorithmically related by OpenAlex
Full payload
| id | https://openalex.org/W3111209080 |
|---|---|
| doi | https://doi.org/10.15514/ispras-2020-32(5)-13 |
| ids.doi | https://doi.org/10.15514/ispras-2020-32(5)-13 |
| ids.mag | 3111209080 |
| ids.openalex | https://openalex.org/W3111209080 |
| fwci | 0.0 |
| type | article |
| title | Modification of the Marching Cubes Algorithm to Obtain a 3D Representation of a Planar Image |
| biblio.issue | 5 |
| biblio.volume | 32 |
| biblio.last_page | 180 |
| biblio.first_page | 167 |
| topics[0].id | https://openalex.org/T10531 |
| topics[0].field.id | https://openalex.org/fields/17 |
| topics[0].field.display_name | Computer Science |
| topics[0].score | 0.9983000159263611 |
| topics[0].domain.id | https://openalex.org/domains/3 |
| topics[0].domain.display_name | Physical Sciences |
| topics[0].subfield.id | https://openalex.org/subfields/1707 |
| topics[0].subfield.display_name | Computer Vision and Pattern Recognition |
| topics[0].display_name | Advanced Vision and Imaging |
| topics[1].id | https://openalex.org/T10191 |
| topics[1].field.id | https://openalex.org/fields/22 |
| topics[1].field.display_name | Engineering |
| topics[1].score | 0.9976999759674072 |
| topics[1].domain.id | https://openalex.org/domains/3 |
| topics[1].domain.display_name | Physical Sciences |
| topics[1].subfield.id | https://openalex.org/subfields/2202 |
| topics[1].subfield.display_name | Aerospace Engineering |
| topics[1].display_name | Robotics and Sensor-Based Localization |
| topics[2].id | https://openalex.org/T10481 |
| topics[2].field.id | https://openalex.org/fields/17 |
| topics[2].field.display_name | Computer Science |
| topics[2].score | 0.9941999912261963 |
| topics[2].domain.id | https://openalex.org/domains/3 |
| topics[2].domain.display_name | Physical Sciences |
| topics[2].subfield.id | https://openalex.org/subfields/1704 |
| topics[2].subfield.display_name | Computer Graphics and Computer-Aided Design |
| topics[2].display_name | Computer Graphics and Visualization Techniques |
| is_xpac | False |
| apc_list | |
| apc_paid | |
| concepts[0].id | https://openalex.org/C42087268 |
| concepts[0].level | 3 |
| concepts[0].score | 0.7822155356407166 |
| concepts[0].wikidata | https://www.wikidata.org/wiki/Q1886184 |
| concepts[0].display_name | Marching cubes |
| concepts[1].id | https://openalex.org/C53051483 |
| concepts[1].level | 2 |
| concepts[1].score | 0.6951876878738403 |
| concepts[1].wikidata | https://www.wikidata.org/wiki/Q861555 |
| concepts[1].display_name | Cube (algebra) |
| concepts[2].id | https://openalex.org/C2776359362 |
| concepts[2].level | 3 |
| concepts[2].score | 0.6004377603530884 |
| concepts[2].wikidata | https://www.wikidata.org/wiki/Q2145286 |
| concepts[2].display_name | Representation (politics) |
| concepts[3].id | https://openalex.org/C41008148 |
| concepts[3].level | 0 |
| concepts[3].score | 0.5981595516204834 |
| concepts[3].wikidata | https://www.wikidata.org/wiki/Q21198 |
| concepts[3].display_name | Computer science |
| concepts[4].id | https://openalex.org/C74050887 |
| concepts[4].level | 2 |
| concepts[4].score | 0.5831660032272339 |
| concepts[4].wikidata | https://www.wikidata.org/wiki/Q848368 |
| concepts[4].display_name | Rotation (mathematics) |
| concepts[5].id | https://openalex.org/C165064840 |
| concepts[5].level | 2 |
| concepts[5].score | 0.5651829838752747 |
| concepts[5].wikidata | https://www.wikidata.org/wiki/Q1321061 |
| concepts[5].display_name | Matching (statistics) |
| concepts[6].id | https://openalex.org/C115961682 |
| concepts[6].level | 2 |
| concepts[6].score | 0.5432835817337036 |
| concepts[6].wikidata | https://www.wikidata.org/wiki/Q860623 |
| concepts[6].display_name | Image (mathematics) |
| concepts[7].id | https://openalex.org/C2780069185 |
| concepts[7].level | 2 |
| concepts[7].score | 0.5092939138412476 |
| concepts[7].wikidata | https://www.wikidata.org/wiki/Q7977945 |
| concepts[7].display_name | Equivalence (formal languages) |
| concepts[8].id | https://openalex.org/C154945302 |
| concepts[8].level | 1 |
| concepts[8].score | 0.5090722441673279 |
| concepts[8].wikidata | https://www.wikidata.org/wiki/Q11660 |
| concepts[8].display_name | Artificial intelligence |
| concepts[9].id | https://openalex.org/C11413529 |
| concepts[9].level | 1 |
| concepts[9].score | 0.5052691102027893 |
| concepts[9].wikidata | https://www.wikidata.org/wiki/Q8366 |
| concepts[9].display_name | Algorithm |
| concepts[10].id | https://openalex.org/C134786449 |
| concepts[10].level | 2 |
| concepts[10].score | 0.46919533610343933 |
| concepts[10].wikidata | https://www.wikidata.org/wiki/Q3391255 |
| concepts[10].display_name | Planar |
| concepts[11].id | https://openalex.org/C31972630 |
| concepts[11].level | 1 |
| concepts[11].score | 0.4246869385242462 |
| concepts[11].wikidata | https://www.wikidata.org/wiki/Q844240 |
| concepts[11].display_name | Computer vision |
| concepts[12].id | https://openalex.org/C33923547 |
| concepts[12].level | 0 |
| concepts[12].score | 0.32969218492507935 |
| concepts[12].wikidata | https://www.wikidata.org/wiki/Q395 |
| concepts[12].display_name | Mathematics |
| concepts[13].id | https://openalex.org/C36464697 |
| concepts[13].level | 2 |
| concepts[13].score | 0.2138691544532776 |
| concepts[13].wikidata | https://www.wikidata.org/wiki/Q451553 |
| concepts[13].display_name | Visualization |
| concepts[14].id | https://openalex.org/C121684516 |
| concepts[14].level | 1 |
| concepts[14].score | 0.1595350205898285 |
| concepts[14].wikidata | https://www.wikidata.org/wiki/Q7600677 |
| concepts[14].display_name | Computer graphics (images) |
| concepts[15].id | https://openalex.org/C114614502 |
| concepts[15].level | 1 |
| concepts[15].score | 0.09904468059539795 |
| concepts[15].wikidata | https://www.wikidata.org/wiki/Q76592 |
| concepts[15].display_name | Combinatorics |
| concepts[16].id | https://openalex.org/C118615104 |
| concepts[16].level | 1 |
| concepts[16].score | 0.07252717018127441 |
| concepts[16].wikidata | https://www.wikidata.org/wiki/Q121416 |
| concepts[16].display_name | Discrete mathematics |
| concepts[17].id | https://openalex.org/C94625758 |
| concepts[17].level | 2 |
| concepts[17].score | 0.0 |
| concepts[17].wikidata | https://www.wikidata.org/wiki/Q7163 |
| concepts[17].display_name | Politics |
| concepts[18].id | https://openalex.org/C199539241 |
| concepts[18].level | 1 |
| concepts[18].score | 0.0 |
| concepts[18].wikidata | https://www.wikidata.org/wiki/Q7748 |
| concepts[18].display_name | Law |
| concepts[19].id | https://openalex.org/C17744445 |
| concepts[19].level | 0 |
| concepts[19].score | 0.0 |
| concepts[19].wikidata | https://www.wikidata.org/wiki/Q36442 |
| concepts[19].display_name | Political science |
| concepts[20].id | https://openalex.org/C105795698 |
| concepts[20].level | 1 |
| concepts[20].score | 0.0 |
| concepts[20].wikidata | https://www.wikidata.org/wiki/Q12483 |
| concepts[20].display_name | Statistics |
| keywords[0].id | https://openalex.org/keywords/marching-cubes |
| keywords[0].score | 0.7822155356407166 |
| keywords[0].display_name | Marching cubes |
| keywords[1].id | https://openalex.org/keywords/cube |
| keywords[1].score | 0.6951876878738403 |
| keywords[1].display_name | Cube (algebra) |
| keywords[2].id | https://openalex.org/keywords/representation |
| keywords[2].score | 0.6004377603530884 |
| keywords[2].display_name | Representation (politics) |
| keywords[3].id | https://openalex.org/keywords/computer-science |
| keywords[3].score | 0.5981595516204834 |
| keywords[3].display_name | Computer science |
| keywords[4].id | https://openalex.org/keywords/rotation |
| keywords[4].score | 0.5831660032272339 |
| keywords[4].display_name | Rotation (mathematics) |
| keywords[5].id | https://openalex.org/keywords/matching |
| keywords[5].score | 0.5651829838752747 |
| keywords[5].display_name | Matching (statistics) |
| keywords[6].id | https://openalex.org/keywords/image |
| keywords[6].score | 0.5432835817337036 |
| keywords[6].display_name | Image (mathematics) |
| keywords[7].id | https://openalex.org/keywords/equivalence |
| keywords[7].score | 0.5092939138412476 |
| keywords[7].display_name | Equivalence (formal languages) |
| keywords[8].id | https://openalex.org/keywords/artificial-intelligence |
| keywords[8].score | 0.5090722441673279 |
| keywords[8].display_name | Artificial intelligence |
| keywords[9].id | https://openalex.org/keywords/algorithm |
| keywords[9].score | 0.5052691102027893 |
| keywords[9].display_name | Algorithm |
| keywords[10].id | https://openalex.org/keywords/planar |
| keywords[10].score | 0.46919533610343933 |
| keywords[10].display_name | Planar |
| keywords[11].id | https://openalex.org/keywords/computer-vision |
| keywords[11].score | 0.4246869385242462 |
| keywords[11].display_name | Computer vision |
| keywords[12].id | https://openalex.org/keywords/mathematics |
| keywords[12].score | 0.32969218492507935 |
| keywords[12].display_name | Mathematics |
| keywords[13].id | https://openalex.org/keywords/visualization |
| keywords[13].score | 0.2138691544532776 |
| keywords[13].display_name | Visualization |
| keywords[14].id | https://openalex.org/keywords/computer-graphics |
| keywords[14].score | 0.1595350205898285 |
| keywords[14].display_name | Computer graphics (images) |
| keywords[15].id | https://openalex.org/keywords/combinatorics |
| keywords[15].score | 0.09904468059539795 |
| keywords[15].display_name | Combinatorics |
| keywords[16].id | https://openalex.org/keywords/discrete-mathematics |
| keywords[16].score | 0.07252717018127441 |
| keywords[16].display_name | Discrete mathematics |
| language | en |
| locations[0].id | doi:10.15514/ispras-2020-32(5)-13 |
| locations[0].is_oa | True |
| locations[0].source.id | https://openalex.org/S4210189999 |
| locations[0].source.issn | 2079-8156, 2220-6426 |
| locations[0].source.type | journal |
| locations[0].source.is_oa | True |
| locations[0].source.issn_l | 2079-8156 |
| locations[0].source.is_core | False |
| locations[0].source.is_in_doaj | True |
| locations[0].source.display_name | Proceedings of the Institute for System Programming of RAS |
| locations[0].source.host_organization | https://openalex.org/P4310312722 |
| locations[0].source.host_organization_name | Institute for System Programming of the Russian Academy of Sciences (ISPRAS) |
| locations[0].source.host_organization_lineage | https://openalex.org/P4310312722 |
| locations[0].source.host_organization_lineage_names | Institute for System Programming of the Russian Academy of Sciences (ISPRAS) |
| locations[0].license | cc-by |
| locations[0].pdf_url | https://ispranproceedings.elpub.ru/jour/article/download/1356/1142 |
| locations[0].version | publishedVersion |
| locations[0].raw_type | journal-article |
| locations[0].license_id | https://openalex.org/licenses/cc-by |
| locations[0].is_accepted | True |
| locations[0].is_published | True |
| locations[0].raw_source_name | Proceedings of the Institute for System Programming of the RAS |
| locations[0].landing_page_url | https://doi.org/10.15514/ispras-2020-32(5)-13 |
| indexed_in | crossref, doaj |
| authorships[0].author.id | https://openalex.org/A5041281829 |
| authorships[0].author.orcid | https://orcid.org/0000-0003-2133-8716 |
| authorships[0].author.display_name | Delia Irazú Hernández-Farías |
| authorships[0].countries | MX |
| authorships[0].affiliations[0].institution_ids | https://openalex.org/I129858807 |
| authorships[0].affiliations[0].raw_affiliation_string | Universidad de Guanajuato, Lascuráin de Retana No. 5, Col. Centro C.P. 36000, Guanajuato, Gto., México |
| authorships[0].institutions[0].id | https://openalex.org/I129858807 |
| authorships[0].institutions[0].ror | https://ror.org/058cjye32 |
| authorships[0].institutions[0].type | education |
| authorships[0].institutions[0].lineage | https://openalex.org/I129858807 |
| authorships[0].institutions[0].country_code | MX |
| authorships[0].institutions[0].display_name | Universidad de Guanajuato |
| authorships[0].author_position | first |
| authorships[0].raw_author_name | Delia Irazu Hernández Farías |
| authorships[0].is_corresponding | False |
| authorships[0].raw_affiliation_strings | Universidad de Guanajuato, Lascuráin de Retana No. 5, Col. Centro C.P. 36000, Guanajuato, Gto., México |
| authorships[1].author.id | https://openalex.org/A5030185432 |
| authorships[1].author.orcid | https://orcid.org/0000-0002-9320-7021 |
| authorships[1].author.display_name | Rafael Guzmán-Cabrera |
| authorships[1].countries | MX |
| authorships[1].affiliations[0].institution_ids | https://openalex.org/I129858807 |
| authorships[1].affiliations[0].raw_affiliation_string | Universidad de Guanajuato, Lascuráin de Retana No. 5, Col. Centro C.P. 36000, Guanajuato, Gto., México |
| authorships[1].institutions[0].id | https://openalex.org/I129858807 |
| authorships[1].institutions[0].ror | https://ror.org/058cjye32 |
| authorships[1].institutions[0].type | education |
| authorships[1].institutions[0].lineage | https://openalex.org/I129858807 |
| authorships[1].institutions[0].country_code | MX |
| authorships[1].institutions[0].display_name | Universidad de Guanajuato |
| authorships[1].author_position | middle |
| authorships[1].raw_author_name | Rafael Guzmán Cabrera |
| authorships[1].is_corresponding | False |
| authorships[1].raw_affiliation_strings | Universidad de Guanajuato, Lascuráin de Retana No. 5, Col. Centro C.P. 36000, Guanajuato, Gto., México |
| authorships[2].author.id | https://openalex.org/A5016367516 |
| authorships[2].author.orcid | https://orcid.org/0000-0002-6486-7530 |
| authorships[2].author.display_name | Teodoro Córdova‐Fraga |
| authorships[2].affiliations[0].raw_affiliation_string | Университет Гуанахуато |
| authorships[2].author_position | middle |
| authorships[2].raw_author_name | Teodoro Cordova Fraga |
| authorships[2].is_corresponding | False |
| authorships[2].raw_affiliation_strings | Университет Гуанахуато |
| authorships[3].author.id | https://openalex.org/A5047741150 |
| authorships[3].author.orcid | |
| authorships[3].author.display_name | José Zacarías Huamaní Luna |
| authorships[3].affiliations[0].raw_affiliation_string | Университет Гуанахуато |
| authorships[3].author_position | middle |
| authorships[3].raw_author_name | Jose Zacarías Huamaní Luna |
| authorships[3].is_corresponding | False |
| authorships[3].raw_affiliation_strings | Университет Гуанахуато |
| authorships[4].author.id | https://openalex.org/A5016818633 |
| authorships[4].author.orcid | https://orcid.org/0000-0001-9403-3767 |
| authorships[4].author.display_name | J. F. Gómez‐Aguilar |
| authorships[4].author_position | last |
| authorships[4].raw_author_name | Jose Francisco Gomez Aguilar |
| authorships[4].is_corresponding | False |
| has_content.pdf | True |
| has_content.grobid_xml | True |
| is_paratext | False |
| open_access.is_oa | True |
| open_access.oa_url | https://ispranproceedings.elpub.ru/jour/article/download/1356/1142 |
| open_access.oa_status | diamond |
| open_access.any_repository_has_fulltext | False |
| created_date | 2025-10-10T00:00:00 |
| display_name | Modification of the Marching Cubes Algorithm to Obtain a 3D Representation of a Planar Image |
| has_fulltext | True |
| is_retracted | False |
| updated_date | 2025-11-06T03:46:38.306776 |
| primary_topic.id | https://openalex.org/T10531 |
| primary_topic.field.id | https://openalex.org/fields/17 |
| primary_topic.field.display_name | Computer Science |
| primary_topic.score | 0.9983000159263611 |
| primary_topic.domain.id | https://openalex.org/domains/3 |
| primary_topic.domain.display_name | Physical Sciences |
| primary_topic.subfield.id | https://openalex.org/subfields/1707 |
| primary_topic.subfield.display_name | Computer Vision and Pattern Recognition |
| primary_topic.display_name | Advanced Vision and Imaging |
| related_works | https://openalex.org/W2103453704, https://openalex.org/W2086518481, https://openalex.org/W2009636610, https://openalex.org/W2362049927, https://openalex.org/W1999110816, https://openalex.org/W2539584049, https://openalex.org/W2779816701, https://openalex.org/W2101711278, https://openalex.org/W4247826135, https://openalex.org/W3027426777 |
| cited_by_count | 0 |
| locations_count | 1 |
| best_oa_location.id | doi:10.15514/ispras-2020-32(5)-13 |
| best_oa_location.is_oa | True |
| best_oa_location.source.id | https://openalex.org/S4210189999 |
| best_oa_location.source.issn | 2079-8156, 2220-6426 |
| best_oa_location.source.type | journal |
| best_oa_location.source.is_oa | True |
| best_oa_location.source.issn_l | 2079-8156 |
| best_oa_location.source.is_core | False |
| best_oa_location.source.is_in_doaj | True |
| best_oa_location.source.display_name | Proceedings of the Institute for System Programming of RAS |
| best_oa_location.source.host_organization | https://openalex.org/P4310312722 |
| best_oa_location.source.host_organization_name | Institute for System Programming of the Russian Academy of Sciences (ISPRAS) |
| best_oa_location.source.host_organization_lineage | https://openalex.org/P4310312722 |
| best_oa_location.source.host_organization_lineage_names | Institute for System Programming of the Russian Academy of Sciences (ISPRAS) |
| best_oa_location.license | cc-by |
| best_oa_location.pdf_url | https://ispranproceedings.elpub.ru/jour/article/download/1356/1142 |
| best_oa_location.version | publishedVersion |
| best_oa_location.raw_type | journal-article |
| best_oa_location.license_id | https://openalex.org/licenses/cc-by |
| best_oa_location.is_accepted | True |
| best_oa_location.is_published | True |
| best_oa_location.raw_source_name | Proceedings of the Institute for System Programming of the RAS |
| best_oa_location.landing_page_url | https://doi.org/10.15514/ispras-2020-32(5)-13 |
| primary_location.id | doi:10.15514/ispras-2020-32(5)-13 |
| primary_location.is_oa | True |
| primary_location.source.id | https://openalex.org/S4210189999 |
| primary_location.source.issn | 2079-8156, 2220-6426 |
| primary_location.source.type | journal |
| primary_location.source.is_oa | True |
| primary_location.source.issn_l | 2079-8156 |
| primary_location.source.is_core | False |
| primary_location.source.is_in_doaj | True |
| primary_location.source.display_name | Proceedings of the Institute for System Programming of RAS |
| primary_location.source.host_organization | https://openalex.org/P4310312722 |
| primary_location.source.host_organization_name | Institute for System Programming of the Russian Academy of Sciences (ISPRAS) |
| primary_location.source.host_organization_lineage | https://openalex.org/P4310312722 |
| primary_location.source.host_organization_lineage_names | Institute for System Programming of the Russian Academy of Sciences (ISPRAS) |
| primary_location.license | cc-by |
| primary_location.pdf_url | https://ispranproceedings.elpub.ru/jour/article/download/1356/1142 |
| primary_location.version | publishedVersion |
| primary_location.raw_type | journal-article |
| primary_location.license_id | https://openalex.org/licenses/cc-by |
| primary_location.is_accepted | True |
| primary_location.is_published | True |
| primary_location.raw_source_name | Proceedings of the Institute for System Programming of the RAS |
| primary_location.landing_page_url | https://doi.org/10.15514/ispras-2020-32(5)-13 |
| publication_date | 2020-01-01 |
| publication_year | 2020 |
| referenced_works | https://openalex.org/W2046013126, https://openalex.org/W4298060979, https://openalex.org/W2229412420, https://openalex.org/W2106073588, https://openalex.org/W2051659264, https://openalex.org/W75552375, https://openalex.org/W2949308598, https://openalex.org/W2070673527, https://openalex.org/W2555608979, https://openalex.org/W2000537156, https://openalex.org/W2076030743, https://openalex.org/W6641921674, https://openalex.org/W1826784614, https://openalex.org/W1603089724, https://openalex.org/W2050995940, https://openalex.org/W3163239381, https://openalex.org/W2155328970, https://openalex.org/W4233857083, https://openalex.org/W3176571960, https://openalex.org/W1965983605, https://openalex.org/W4239607958 |
| referenced_works_count | 21 |
| abstract_inverted_index.a | 3, 25, 39, 62, 71, 117 |
| abstract_inverted_index.2D | 64 |
| abstract_inverted_index.3D | 4, 58 |
| abstract_inverted_index.We | 90 |
| abstract_inverted_index.an | 7, 45 |
| abstract_inverted_index.as | 12 |
| abstract_inverted_index.be | 10 |
| abstract_inverted_index.by | 60 |
| abstract_inverted_index.in | 52, 87, 112 |
| abstract_inverted_index.is | 24, 30, 68 |
| abstract_inverted_index.it | 29 |
| abstract_inverted_index.of | 2, 15, 73, 98, 116, 143 |
| abstract_inverted_index.on | 70 |
| abstract_inverted_index.to | 79, 139 |
| abstract_inverted_index.us | 138 |
| abstract_inverted_index.Our | 66 |
| abstract_inverted_index.The | 0, 134 |
| abstract_inverted_index.all | 107 |
| abstract_inverted_index.and | 28, 57 |
| abstract_inverted_index.are | 122 |
| abstract_inverted_index.can | 9 |
| abstract_inverted_index.the | 13, 35, 74, 92, 95, 100, 108, 113, 132, 141, 144 |
| abstract_inverted_index.two | 21, 36, 53, 104 |
| abstract_inverted_index.This | 23, 42 |
| abstract_inverted_index.cube | 118 |
| abstract_inverted_index.each | 88 |
| abstract_inverted_index.even | 31 |
| abstract_inverted_index.four | 114, 124 |
| abstract_inverted_index.from | 19 |
| abstract_inverted_index.have | 38 |
| abstract_inverted_index.idea | 93 |
| abstract_inverted_index.into | 103 |
| abstract_inverted_index.more | 32 |
| abstract_inverted_index.only | 123 |
| abstract_inverted_index.over | 6 |
| abstract_inverted_index.seen | 11 |
| abstract_inverted_index.task | 27 |
| abstract_inverted_index.that | 47 |
| abstract_inverted_index.when | 34 |
| abstract_inverted_index.Cubes | 76 |
| abstract_inverted_index.about | 94 |
| abstract_inverted_index.after | 127 |
| abstract_inverted_index.allow | 137 |
| abstract_inverted_index.based | 69 |
| abstract_inverted_index.cases | 82, 102, 126 |
| abstract_inverted_index.cube. | 89 |
| abstract_inverted_index.data. | 22 |
| abstract_inverted_index.image | 8 |
| abstract_inverted_index.model | 5 |
| abstract_inverted_index.paper | 43 |
| abstract_inverted_index.share | 91 |
| abstract_inverted_index.side, | 119 |
| abstract_inverted_index.there | 121 |
| abstract_inverted_index.these | 20 |
| abstract_inverted_index.those | 129 |
| abstract_inverted_index.using | 61 |
| abstract_inverted_index.adding | 84 |
| abstract_inverted_index.aiming | 78 |
| abstract_inverted_index.allows | 48 |
| abstract_inverted_index.common | 63 |
| abstract_inverted_index.images | 37 |
| abstract_inverted_index.remove | 80 |
| abstract_inverted_index.states | 110 |
| abstract_inverted_index.visual | 16 |
| abstract_inverted_index.complex | 33 |
| abstract_inverted_index.corners | 115 |
| abstract_inverted_index.crucial | 96 |
| abstract_inverted_index.further | 85 |
| abstract_inverted_index.indeed, | 120 |
| abstract_inverted_index.models, | 59 |
| abstract_inverted_index.results | 136 |
| abstract_inverted_index.through | 131 |
| abstract_inverted_index.without | 83 |
| abstract_inverted_index.Marching | 75 |
| abstract_inverted_index.approach | 46, 67 |
| abstract_inverted_index.classes. | 105 |
| abstract_inverted_index.detected | 51 |
| abstract_inverted_index.features | 50 |
| abstract_inverted_index.matching | 49 |
| abstract_inverted_index.obtained | 135 |
| abstract_inverted_index.possible | 109 |
| abstract_inverted_index.proposed | 145 |
| abstract_inverted_index.validate | 140 |
| abstract_inverted_index.algorithm | 77 |
| abstract_inverted_index.alignment | 14 |
| abstract_inverted_index.ambiguous | 81 |
| abstract_inverted_index.different | 40, 54 |
| abstract_inverted_index.extracted | 18 |
| abstract_inverted_index.modality. | 41 |
| abstract_inverted_index.rotation. | 133 |
| abstract_inverted_index.splitting | 99 |
| abstract_inverted_index.importance | 97 |
| abstract_inverted_index.introduces | 44 |
| abstract_inverted_index.Considering | 106 |
| abstract_inverted_index.challenging | 26 |
| abstract_inverted_index.eliminating | 128 |
| abstract_inverted_index.equivalence | 101 |
| abstract_inverted_index.feasibility | 142 |
| abstract_inverted_index.modalities: | 55 |
| abstract_inverted_index.modifcation | 72 |
| abstract_inverted_index.non-trivial | 125 |
| abstract_inverted_index.photographs | 56 |
| abstract_inverted_index.calculations | 86 |
| abstract_inverted_index.equivalences | 130 |
| abstract_inverted_index.methodology. | 146 |
| abstract_inverted_index.registration | 1 |
| abstract_inverted_index.inside/outside | 111 |
| abstract_inverted_index.correspondences | 17 |
| abstract_inverted_index.representation. | 65 |
| cited_by_percentile_year | |
| countries_distinct_count | 1 |
| institutions_distinct_count | 5 |
| citation_normalized_percentile.value | 0.14093047 |
| citation_normalized_percentile.is_in_top_1_percent | False |
| citation_normalized_percentile.is_in_top_10_percent | False |