A detail-preserving method for medial mesh computation in triangular meshes Article Swipe
B. Li
,
Yuping Ye
,
Junfeng Yao
,
Yong Yang
,
Weixing Xie
,
Mengyuan Ge
·
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.1016/j.gmod.2024.101236
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.1016/j.gmod.2024.101236
The medial axis transform (MAT) of an object is the set of all points inside the object that have more than one closest point on the object’s boundary. Representing sharp edges and corners of triangular meshes using MAT poses a complex challenge. While some researchers have proposed using zero-radius medial spheres to depict these features, they have not clearly articulated how to establish proper connections among them. In this paper, we propose a novel framework for computing MAT of a triangular mesh while preserving its features. The initial medial axis mesh obtained may contain erroneous edges, which are discussed and addressed in Section 3.3. Furthermore, during the simplification process, it is crucial to ensure that the medial spheres remain within the confines of the triangular mesh. Our algorithm excels in preserving critical features throughout the simplification procedure, consistently ensuring that the spheres remain enclosed within the triangular mesh. Experiments on various types of 3D models demonstrate the robustness, shape fidelity, and efficiency in representation achieved by our algorithm.
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Metadata
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.1016/j.gmod.2024.101236
- OA Status
- gold
- References
- 38
- Related Works
- 10
- OpenAlex ID
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Raw OpenAlex JSON
- OpenAlex ID
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https://openalex.org/W4403561989Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.1016/j.gmod.2024.101236Digital Object Identifier
- Title
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A detail-preserving method for medial mesh computation in triangular meshesWork title
- Type
-
articleOpenAlex work type
- Language
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enPrimary language
- Publication year
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2024Year of publication
- Publication date
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2024-10-19Full publication date if available
- Authors
-
B. Li, Yuping Ye, Junfeng Yao, Yong Yang, Weixing Xie, Mengyuan GeList of authors in order
- Landing page
-
https://doi.org/10.1016/j.gmod.2024.101236Publisher landing page
- Open access
-
YesWhether a free full text is available
- OA status
-
goldOpen access status per OpenAlex
- OA URL
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https://doi.org/10.1016/j.gmod.2024.101236Direct OA link when available
- Concepts
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Polygon mesh, Computer science, Computation, Triangle mesh, Volume mesh, Medial axis, Mesh generation, Computational science, Computer graphics (images), Algorithm, Artificial intelligence, Engineering, Finite element method, Structural engineeringTop concepts (fields/topics) attached by OpenAlex
- Cited by
-
0Total citation count in OpenAlex
- References (count)
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38Number of works referenced by this work
- Related works (count)
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10Other works algorithmically related by OpenAlex
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| abstract_inverted_index.ensure | 113 |
| abstract_inverted_index.excels | 128 |
| abstract_inverted_index.inside | 14 |
| abstract_inverted_index.medial | 1, 49, 88, 116 |
| abstract_inverted_index.meshes | 35 |
| abstract_inverted_index.models | 154 |
| abstract_inverted_index.object | 7, 16 |
| abstract_inverted_index.paper, | 69 |
| abstract_inverted_index.points | 13 |
| abstract_inverted_index.proper | 63 |
| abstract_inverted_index.remain | 118, 142 |
| abstract_inverted_index.within | 119, 144 |
| abstract_inverted_index.Section | 102 |
| abstract_inverted_index.clearly | 58 |
| abstract_inverted_index.closest | 22 |
| abstract_inverted_index.complex | 40 |
| abstract_inverted_index.contain | 93 |
| abstract_inverted_index.corners | 32 |
| abstract_inverted_index.crucial | 111 |
| abstract_inverted_index.initial | 87 |
| abstract_inverted_index.propose | 71 |
| abstract_inverted_index.spheres | 50, 117, 141 |
| abstract_inverted_index.various | 150 |
| abstract_inverted_index.achieved | 164 |
| abstract_inverted_index.confines | 121 |
| abstract_inverted_index.critical | 131 |
| abstract_inverted_index.enclosed | 143 |
| abstract_inverted_index.ensuring | 138 |
| abstract_inverted_index.features | 132 |
| abstract_inverted_index.obtained | 91 |
| abstract_inverted_index.process, | 108 |
| abstract_inverted_index.proposed | 46 |
| abstract_inverted_index.addressed | 100 |
| abstract_inverted_index.algorithm | 127 |
| abstract_inverted_index.boundary. | 27 |
| abstract_inverted_index.computing | 76 |
| abstract_inverted_index.discussed | 98 |
| abstract_inverted_index.erroneous | 94 |
| abstract_inverted_index.establish | 62 |
| abstract_inverted_index.features, | 54 |
| abstract_inverted_index.features. | 85 |
| abstract_inverted_index.fidelity, | 159 |
| abstract_inverted_index.framework | 74 |
| abstract_inverted_index.transform | 3 |
| abstract_inverted_index.algorithm. | 167 |
| abstract_inverted_index.challenge. | 41 |
| abstract_inverted_index.efficiency | 161 |
| abstract_inverted_index.object’s | 26 |
| abstract_inverted_index.preserving | 83, 130 |
| abstract_inverted_index.procedure, | 136 |
| abstract_inverted_index.throughout | 133 |
| abstract_inverted_index.triangular | 34, 80, 124, 146 |
| abstract_inverted_index.Experiments | 148 |
| abstract_inverted_index.articulated | 59 |
| abstract_inverted_index.connections | 64 |
| abstract_inverted_index.demonstrate | 155 |
| abstract_inverted_index.researchers | 44 |
| abstract_inverted_index.robustness, | 157 |
| abstract_inverted_index.zero-radius | 48 |
| abstract_inverted_index.Furthermore, | 104 |
| abstract_inverted_index.Representing | 28 |
| abstract_inverted_index.consistently | 137 |
| abstract_inverted_index.representation | 163 |
| abstract_inverted_index.simplification | 107, 135 |
| cited_by_percentile_year | |
| countries_distinct_count | 0 |
| institutions_distinct_count | 6 |
| citation_normalized_percentile.value | 0.39481113 |
| citation_normalized_percentile.is_in_top_1_percent | False |
| citation_normalized_percentile.is_in_top_10_percent | False |