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| Main Author: | |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2601.19322 |
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| _version_ | 1866910002010128384 |
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| author | Salvi, Péter |
| author_facet | Salvi, Péter |
| contents | A new parametric surface representation is proposed that interpolates the vertices of a given closed mesh of arbitrary topology. Smoothly connecting quadrilateral patches are created by blending local, multi-sided quadratic interpolants. In the non-four-sided case, this requires a special parameterization technique involving rational curves. Appropriate handling of triangular subpatches and alternative subpatch representations are also discussed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_19322 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Polyhedral design with blended $n$-sided interpolants Salvi, Péter Computational Geometry Numerical Analysis A new parametric surface representation is proposed that interpolates the vertices of a given closed mesh of arbitrary topology. Smoothly connecting quadrilateral patches are created by blending local, multi-sided quadratic interpolants. In the non-four-sided case, this requires a special parameterization technique involving rational curves. Appropriate handling of triangular subpatches and alternative subpatch representations are also discussed. |
| title | Polyhedral design with blended $n$-sided interpolants |
| topic | Computational Geometry Numerical Analysis |
| url | https://arxiv.org/abs/2601.19322 |