Evocube: a Genetic Labeling Framework for Polycube-Maps Article Swipe
Corentin Dumery
,
François Protais
,
Sébastien Mestrallet
,
Christophe Bourcier
,
Franck Ledoux
·
YOU?
·
· 2022
· Open Access
·
· DOI: https://doi.org/10.1111/cgf.14649
YOU?
·
· 2022
· Open Access
·
· DOI: https://doi.org/10.1111/cgf.14649
Polycube-maps are used as base-complexes in various fields of computational geometry, including the generation of regular all-hexahedral meshes free of internal singularities. However, the strict alignment constraints behind polycube-based methods make their computation challenging for CAD models used in numerical simulation via Finite Element Method (FEM). We propose a novel approach based on an evolutionary algorithm to robustly compute polycube-maps in this context. We address the labeling problem, which aims to precompute polycube alignment by assigning one of the base axes to each boundary face on the input. Previous research has described ways to initialize and improve a labeling via greedy local fixes. However, such algorithms lack robustness and often converge to inaccurate solutions for complex geometries. Our proposed framework alleviates this issue by embedding labeling operations in an evolutionary heuristic, defining fitness, crossover, and mutations in the context of labeling optimization. We evaluate our method on a thousand smooth and CAD meshes, showing Evocube converges to valid labelings on a wide range of shapes. The limitations of our method are also discussed thoroughly.
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- Type
- preprint
- Language
- en
- Landing Page
- http://arxiv.org/abs/2205.00738
- https://arxiv.org/pdf/2205.00738
- OA Status
- green
- Cited By
- 1
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4286680975
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
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https://openalex.org/W4286680975Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.1111/cgf.14649Digital Object Identifier
- Title
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Evocube: a Genetic Labeling Framework for Polycube-MapsWork title
- Type
-
preprintOpenAlex work type
- Language
-
enPrimary language
- Publication year
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2022Year of publication
- Publication date
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2022-05-03Full publication date if available
- Authors
-
Corentin Dumery, François Protais, Sébastien Mestrallet, Christophe Bourcier, Franck LedouxList of authors in order
- Landing page
-
https://arxiv.org/abs/2205.00738Publisher landing page
- PDF URL
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https://arxiv.org/pdf/2205.00738Direct link to full text PDF
- Open access
-
YesWhether a free full text is available
- OA status
-
greenOpen access status per OpenAlex
- OA URL
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https://arxiv.org/pdf/2205.00738Direct OA link when available
- Concepts
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Computer science, Evolutionary biology, BiologyTop concepts (fields/topics) attached by OpenAlex
- Cited by
-
1Total citation count in OpenAlex
- Citations by year (recent)
-
2025: 1Per-year citation counts (last 5 years)
- Related works (count)
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10Other works algorithmically related by OpenAlex
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| abstract_inverted_index.polycube | 72 |
| abstract_inverted_index.problem, | 67 |
| abstract_inverted_index.proposed | 118 |
| abstract_inverted_index.research | 89 |
| abstract_inverted_index.robustly | 57 |
| abstract_inverted_index.thousand | 148 |
| abstract_inverted_index.algorithm | 55 |
| abstract_inverted_index.alignment | 25, 73 |
| abstract_inverted_index.assigning | 75 |
| abstract_inverted_index.converges | 155 |
| abstract_inverted_index.described | 91 |
| abstract_inverted_index.discussed | 172 |
| abstract_inverted_index.embedding | 124 |
| abstract_inverted_index.framework | 119 |
| abstract_inverted_index.geometry, | 10 |
| abstract_inverted_index.including | 11 |
| abstract_inverted_index.labelings | 158 |
| abstract_inverted_index.mutations | 135 |
| abstract_inverted_index.numerical | 39 |
| abstract_inverted_index.solutions | 113 |
| abstract_inverted_index.algorithms | 105 |
| abstract_inverted_index.alleviates | 120 |
| abstract_inverted_index.crossover, | 133 |
| abstract_inverted_index.generation | 13 |
| abstract_inverted_index.heuristic, | 130 |
| abstract_inverted_index.inaccurate | 112 |
| abstract_inverted_index.initialize | 94 |
| abstract_inverted_index.operations | 126 |
| abstract_inverted_index.precompute | 71 |
| abstract_inverted_index.robustness | 107 |
| abstract_inverted_index.simulation | 40 |
| abstract_inverted_index.challenging | 33 |
| abstract_inverted_index.computation | 32 |
| abstract_inverted_index.constraints | 26 |
| abstract_inverted_index.geometries. | 116 |
| abstract_inverted_index.limitations | 166 |
| abstract_inverted_index.thoroughly. | 173 |
| abstract_inverted_index.evolutionary | 54, 129 |
| abstract_inverted_index.Polycube-maps | 0 |
| abstract_inverted_index.computational | 9 |
| abstract_inverted_index.optimization. | 141 |
| abstract_inverted_index.polycube-maps | 59 |
| abstract_inverted_index.all-hexahedral | 16 |
| abstract_inverted_index.base-complexes | 4 |
| abstract_inverted_index.polycube-based | 28 |
| abstract_inverted_index.singularities. | 21 |
| cited_by_percentile_year | |
| countries_distinct_count | 1 |
| institutions_distinct_count | 5 |
| sustainable_development_goals[0].id | https://metadata.un.org/sdg/2 |
| sustainable_development_goals[0].score | 0.5799999833106995 |
| sustainable_development_goals[0].display_name | Zero hunger |
| citation_normalized_percentile |