Optimization of Constrained Quasiconformal Mapping for Origami Design
Fuente:
arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866914498176090112 |
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| author | Lai, Ka Ho Tsang, Hei Tung Choi, Gary P. T. Lui, Lok Ming |
| author_facet | Lai, Ka Ho Tsang, Hei Tung Choi, Gary P. T. Lui, Lok Ming |
| contents | Origami structures, particularly Miura-ori patterns, offer unique capabilities for surface approximation and deployable designs. In this study, a constrained mapping optimization algorithm is designed for designing surface-aligned Miura-ori via a narrow band approximation of the input surface. The Miura-fold, embedded in the narrow band, is parameterized to a planar domain, and a mapping is computed on the parameter pattern by optimizing certain energy terms and constraints. Extensive experiments are conducted, showing the significance and flexibility of our methods. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_20137 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Optimization of Constrained Quasiconformal Mapping for Origami Design Lai, Ka Ho Tsang, Hei Tung Choi, Gary P. T. Lui, Lok Ming Computational Geometry Optimization and Control Origami structures, particularly Miura-ori patterns, offer unique capabilities for surface approximation and deployable designs. In this study, a constrained mapping optimization algorithm is designed for designing surface-aligned Miura-ori via a narrow band approximation of the input surface. The Miura-fold, embedded in the narrow band, is parameterized to a planar domain, and a mapping is computed on the parameter pattern by optimizing certain energy terms and constraints. Extensive experiments are conducted, showing the significance and flexibility of our methods. |
| title | Optimization of Constrained Quasiconformal Mapping for Origami Design |
| topic | Computational Geometry Optimization and Control |
| url | https://arxiv.org/abs/2604.20137 |