Rest Shape Optimization for Sag-Free Discrete Elastic Rods
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866916616168538112 |
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| author | Takahashi, Tetsuya Batty, Christopher |
| author_facet | Takahashi, Tetsuya Batty, Christopher |
| contents | We propose a new rest shape optimization framework to achieve sag-free simulations of discrete elastic rods. To optimize rest shape parameters, we formulate a minimization problem based on the kinetic energy with a regularizer while imposing box constraints on these parameters to ensure the system's stability. Our method solves the resulting constrained minimization problem via the Gauss-Newton algorithm augmented with penalty methods. We demonstrate that the optimized rest shape parameters enable discrete elastic rods to achieve static equilibrium for a wide range of strand geometries and material parameters. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_12362 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Rest Shape Optimization for Sag-Free Discrete Elastic Rods Takahashi, Tetsuya Batty, Christopher Graphics We propose a new rest shape optimization framework to achieve sag-free simulations of discrete elastic rods. To optimize rest shape parameters, we formulate a minimization problem based on the kinetic energy with a regularizer while imposing box constraints on these parameters to ensure the system's stability. Our method solves the resulting constrained minimization problem via the Gauss-Newton algorithm augmented with penalty methods. We demonstrate that the optimized rest shape parameters enable discrete elastic rods to achieve static equilibrium for a wide range of strand geometries and material parameters. |
| title | Rest Shape Optimization for Sag-Free Discrete Elastic Rods |
| topic | Graphics |
| url | https://arxiv.org/abs/2409.12362 |