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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2408.06831 |
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| _version_ | 1866908380895903744 |
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| author | Liu, Shibo Liu, Ligang Fu, Xiao-Ming |
| author_facet | Liu, Shibo Liu, Ligang Fu, Xiao-Ming |
| contents | We propose conformal polynomial coordinates for 2D closed high-order cages, which consist of polynomial curves of any order. The coordinates enable the transformation of the input polynomial curves into polynomial curves of any order. We extend the classical 2D Green coordinates to define our coordinates, thereby leading to cage-aware conformal harmonic deformations. We extensively test our method on various 2D deformations, allowing users to manipulate the \Bezier control points to easily generate the desired deformation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_06831 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Polynomial 2D Green Coordinates for High-order Cages Liu, Shibo Liu, Ligang Fu, Xiao-Ming Computational Geometry We propose conformal polynomial coordinates for 2D closed high-order cages, which consist of polynomial curves of any order. The coordinates enable the transformation of the input polynomial curves into polynomial curves of any order. We extend the classical 2D Green coordinates to define our coordinates, thereby leading to cage-aware conformal harmonic deformations. We extensively test our method on various 2D deformations, allowing users to manipulate the \Bezier control points to easily generate the desired deformation. |
| title | Polynomial 2D Green Coordinates for High-order Cages |
| topic | Computational Geometry |
| url | https://arxiv.org/abs/2408.06831 |