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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2507.15404 |
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| _version_ | 1866911067084423168 |
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| author | Ray, Nicolas |
| author_facet | Ray, Nicolas |
| contents | Extracting a quad mesh from a grid preserving map is straightforward in theory, but typical inputs are not exactly grid preserving maps. Previous works can manage minor deviations from grid preserving maps, but without a clear specification of what is acceptable. This work clarifies how typical inputs differ from a grid preserving map, and shows how the differences with a grid preserving map can be reflected by a sequence of operations acting on a discrete structure. It opens research opportunities for the design of a robust quad extraction algorithm. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_15404 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On Quad Mesh Extraction From Messy Grid Preserving Maps Ray, Nicolas Computational Geometry Extracting a quad mesh from a grid preserving map is straightforward in theory, but typical inputs are not exactly grid preserving maps. Previous works can manage minor deviations from grid preserving maps, but without a clear specification of what is acceptable. This work clarifies how typical inputs differ from a grid preserving map, and shows how the differences with a grid preserving map can be reflected by a sequence of operations acting on a discrete structure. It opens research opportunities for the design of a robust quad extraction algorithm. |
| title | On Quad Mesh Extraction From Messy Grid Preserving Maps |
| topic | Computational Geometry |
| url | https://arxiv.org/abs/2507.15404 |