Rest Shape Optimization for Sag-Free Discrete Elastic Rods
<|reference_start|>Rest Shape Optimization for Sag-Free Discrete Elastic Rods: 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.<|reference_end|>
@article{takahashi2024rest,
    title={Rest Shape Optimization for Sag-Free Discrete Elastic Rods},
    author={Tetsuya Takahashi, Christopher Batty},
    journal={arXiv preprint arXiv:2409.12362},
    year={2024},
    archivePrefix={arXiv},
    eprint={2409.12362},
    primaryClass={cs.GR}
}